An apparatus is provided which comprises one or more magnetoelectric spin orbit (MESO) minority gates with different peripheral complementary metal oxide semiconductor (CMOS) circuit techniques in the device layer including: (1) current mirroring, (2) complementary supply voltages, (3) asymmetrical transistor sizing, and (4) using transmission gates. These MESO minority gates use the multi-phase clock to prevent back propagation of current so that MESO gate can correctly process the input data.
1. An apparatus comprising:
a magnet layer having a first portion and a second portion; a stack of layers, a portion of which is on the first portion of the magnet layer, wherein the stack of layers comprises spin orbit material; a layer on the second portion of the magnet layer, the layer comprising a magnetoelectric material; a conductor coupled to the layer; a first device coupled to the magnet, wherein the first device is controllable by a clock; a current mirror coupled to the first device and to a first supply node; and a second device coupled to a second supply node and to the stack of layers, wherein the second device is controllable by the clock. 2. The apparatus of a second magnet layer having a first portion and a second portion; a second stack of layers, a portion of which is adjacent to the first portion of the second magnet layer, wherein the second stack of layers comprises spin orbit material; a second layer adjacent to the second portion of the second magnet layer, the second layer comprising a magnetoelectric material; a second conductor adjacent to the second layer and to the portion of the stack of layers; a third conductor adjacent to a portion of the second stack of layers; a third device coupled to the second magnet, wherein the third device is controllable by a second clock; a second current mirror coupled to the third device and to the first supply node; and a fourth device coupled to the second supply node and to the second stack of layers, wherein the third device is controllable by the second clock. 3. The apparatus of 4. The apparatus of 5. The apparatus of 6. The apparatus of 7. The apparatus of 8. The apparatus of 9. The apparatus of 10. The apparatus of 11. An apparatus comprising:
a first logic device comprising a spin orbit material, a magnetoelectric material, at least two transistors to operate using a first clock, and a current mirror coupled to one of the at least two transistors; a second logic device comprising a spin orbit coupling material, a magnetoelectric material, at least two transistors to operate using the first clock, and a current mirror coupled to one of the at least two transistors; a third logic device comprising a spin orbit coupling material, a magnetoelectric material, at least two transistors to operate using the first clock, and a current mirror coupled to one of the at least two transistors; and a fourth logic device coupled to the first, second and third logic devices, the fourth logic device comprising a spin orbit coupling material, a magnetoelectric material, at least two transistors to operate using a second clock, and a current mirror coupled to one of the at least two transistors, wherein the first and second clocks have different phases. 12. The apparatus of 13. The apparatus of 14. The apparatus of 15. The apparatus of 16. The apparatus of 17. A system comprising:
a memory; a processor coupled to the memory, wherein the processor comprises a minority logic gate comprising:
a magnet having a first portion and a second portion; a stack of layers, a portion of which is adjacent to the first portion of the magnet, wherein the stack of layers comprises spin orbit material; a layer adjacent to the second portion, the layer comprising a magnetoelectric material; a conductor adjacent to the layer; a first device coupled to the magnet, wherein the first device is controllable by a clock; a current mirror coupled to the first device and to a first supply node; and a second device coupled to a second supply node and to a layer of the stack of layers, wherein the second device is controllable by the clock; and a wireless interface to allow the processor to communicate with another device. 18. The system of a second magnet layer having a first portion and a second portion; a second stack of layers, a portion of which is adjacent to the first portion of the second magnet layer, wherein the second stack of layers comprises spin orbit material; a second layer adjacent to the second portion of the second magnet layer, the second layer comprising a magnetoelectric material; a second conductor adjacent to the second layer and to the portion of the stack of layers; a third conductor adjacent to a portion of the second stack of layers; a third device coupled to the second magnet, wherein the third device is controllable by a second clock; a second current mirror coupled to the third device and the first supply node; and a fourth device coupled to the second supply node and to the second stack of layers, wherein the third device is controllable by the second clock. 19. The system of 20. The system of
Spintronics is the study of intrinsic spin of the electron and its associated magnetic moment in solid-state devices. Spintronic logic are integrated circuit devices that use a physical variable of magnetization or spin as a computation variable. Such variables can be non-volatile (e.g., preserving a computation state when the power to an integrated circuit is switched off). Non-volatile logic can improve the power and computational efficiency by allowing architects to put a processor to un-powered sleep states more often and therefore reduce energy consumption. Existing spintronic logic generally suffer from high energy and relatively long switching times. For example, large write current (e.g., greater than 100 μA/bit) and voltage (e.g., greater than 0.7 V) are needed to switch a magnet (i.e., to write data to the magnet) in Magnetic Tunnel Junctions (MTJs). Existing Magnetic Random Access Memory (MRAM) based on MTJs also suffer from high write error rates (WERs) or low speed switching. For example, to achieve lower WERs, switching time is slowed down which degrades the performance of the MRAM. MTJ based MRAMs also suffer from reliability issues due to tunneling current in the spin filtering tunneling dielectric of the MTJs e.g., magnesium oxide (MgO). The embodiments of the disclosure will be understood more fully from the detailed description given below and from the accompanying drawings of various embodiments of the disclosure, which, however, should not be taken to limit the disclosure to the specific embodiments, but are for explanation and understanding only. Technology scaling is an important factor of success for the semiconductor industry, where beyond CMOS (Complementary Metal Oxide Semiconductor) technology is being considered to enable future technology scaling below 5 nm technology node. One beyond CMOS technology employs Magnetoelectric (ME) effect. The ME effect has the ability to manipulate the magnetization (and the associated spin of electrons in the material) by an applied electric field. Since an estimated energy dissipation per unit area per magnet switching event through the ME effect is an order of magnitude smaller than with spin-transfer torque (STT) effect, ME materials have the capability for next-generation memory and logic applications. Magnetoelectric Spin Orbit (MESO) Logic devices/gates when cascaded with one another may suffer from back propagation of signals that may switch magnets unintentionally. Various embodiments describe a MESO Logic which is a combination of various physical phenomena for spin-to-charge and charge-to-spin conversion, where the MESO logic comprises an input magnet and stack of layers for spin-to-charge conversion. Spin-to-charge conversion is achieved via one or more layers with the inverse Rashba-Edelstein effect (or spin Hall effect) wherein a spin current injected from the input magnet produces a charge current. The sign of the charge current is determined by the direction of the injected spin and thus of magnetization. In some embodiments, charge-to-spin conversion is achieved via magnetoelectric effect in which the charge current produces a voltage on a capacitor, comprising a layer with magnetoelectric effect, leading to switching magnetization of an output magnet. In some embodiments, magnetic response of a magnet is according to an applied exchange bias from the magnetoelectric effect. In some embodiments, a multi-phase clock is used with transistors to cascade multiple MESO logic devices. For example, a 3-phase clock is used to prevent back propagation of current from the output magnet towards the input magnet. In some embodiments, the clocks control the power supply of each MESO logic/device. For example, when clock phase is low, power supply is coupled to the magnet of the MESO logic/device. In some embodiments, merely two series connected MESO devices conduct while other MESO devices in the cascaded logic are prevented from conducting. As such, unidirectionality for signal propagation is achieved in the cascaded MESO logic. Further, backward propagation of current and leakage current is prevented by the transistors controlled by the multi-phase clock. MESO logic gate is used to build MESO logic function as well as MESO based computing systems (since a computing system design requires complex logic functions). Some embodiments describe MESO based logic gates such as NAND, OR, gates, etc. These logic gates are minority logic gates in that the minority input logic values determine the logic output. Some embodiments illustrate variations of MESO minority gates with different peripheral CMOS circuit techniques in the device layer including: (1) current mirroring, (2) complementary supply voltages, (3) asymmetrical transistor sizing, and (4) using transmission gates. These MESO minority gates use the multi-phase clock to prevent back propagation of current so that MESO gate can correctly process the input data. There are many technical effects of various embodiments. For example, high speed operation of the logic (e.g., 100 picoseconds (ps)) is achieved via the use of magnetoelectric switching operating on semi-insulating nanomagnets. In some examples, switching energy is reduced (e.g., 1-10 attojoules (aJ)) because the current needs to be “on” for a shorter time (e.g., approximately 3 ps) in order to charge the capacitor. In some examples, in contrast to the spin current, here charge current does not attenuate when it flows through an interconnect. Some embodiments solve the 2 or more inputs to a single MESO gate and enables complex logic functions with basic minority function. Compared to other majority/minority logic, MESO uses one device per minority gate. Also, since MESO logic is non-volatile, MESO logic is applied to novel non-volatile logic for ultra-low idle power consumption and more efficient power management in integrated circuits. Other technical effects will be evident from various embodiments and figures. In the following description, numerous details are discussed to provide a more thorough explanation of embodiments of the present disclosure. It will be apparent, however, to one skilled in the art, that embodiments of the present disclosure may be practiced without these specific details. In other instances, well-known structures and devices are shown in block diagram form, rather than in detail, in order to avoid obscuring embodiments of the present disclosure. Note that in the corresponding drawings of the embodiments, signals are represented with lines. Some lines may be thicker, to indicate more constituent signal paths, and/or have arrows at one or more ends, to indicate primary information flow direction. Such indications are not intended to be limiting. Rather, the lines are used in connection with one or more exemplary embodiments to facilitate easier understanding of a circuit or a logical unit. Any represented signal, as dictated by design needs or preferences, may actually comprise one or more signals that may travel in either direction and may be implemented with any suitable type of signal scheme. The term “free” or “unfixed” here with reference to a magnet refers to a magnet whose magnetization direction can change along its easy axis upon application of an external field or force (e.g., Oersted field, spin torque, etc.). Conversely, the term “fixed” or “pinned” here with reference to a magnet refers to a magnet whose magnetization direction is pinned or fixed along an axis and which may not change due to application of an external field (e.g., electrical field, Oersted field, spin torque). Here, perpendicularly magnetized magnet (or perpendicular magnet, or magnet with perpendicular magnetic anisotropy (PMA)) refers to a magnet having a magnetization which is substantially perpendicular to a plane of the magnet or a device. For example, a magnet with a magnetization which is in a z-direction in a range of 90 (or 270) degrees +/−20 degrees relative to an x-y plane of a device. Here, an in-plane magnet refers to a magnet that has magnetization in a direction substantially along the plane of the magnet. For example, a magnet with a magnetization which is in an x or y direction and is in a range of 0 (or 180 degrees)+/−20 degrees relative to an x-y plane of a device. The term “device” may generally refer to an apparatus according to the context of the usage of that term. For example, a device may refer to a stack of layers or structures, a single structure or layer, a connection of various structures having active and/or passive elements, etc. Generally, a device is a three-dimensional structure with a plane along the x-y direction and a height along the z direction of an x-y-z Cartesian coordinate system. The plane of the device may also be the plane of an apparatus which comprises the device. Throughout the specification, and in the claims, the term “connected” means a direct connection, such as electrical, mechanical, or magnetic connection between the things that are connected, without any intermediary devices. The term “coupled” means a direct or indirect connection, such as a direct electrical, mechanical, or magnetic connection between the things that are connected or an indirect connection, through one or more passive or active intermediary devices. The term “adjacent” here generally refers to a position of a thing being next to (e.g., immediately next to or close to with one or more things between them) or adjoining another thing (e.g., abutting it). The term “circuit” or “module” may refer to one or more passive and/or active components that are arranged to cooperate with one another to provide a desired function. The term “signal” may refer to at least one current signal, voltage signal, magnetic signal, or data/clock signal. The meaning of “a,” “an,” and “the” include plural references. The meaning of “in” includes “in” and “on.” The term “scaling” generally refers to converting a design (schematic and layout) from one process technology to another process technology and subsequently being reduced in layout area. The term “scaling” generally also refers to downsizing layout and devices within the same technology node. The term “scaling” may also refer to adjusting (e.g., slowing down or speeding up—i.e. scaling down, or scaling up respectively) of a signal frequency relative to another parameter, for example, power supply level. The terms “substantially,” “close,” “approximately,” “near,” and “about,” generally refer to being within +/−10% of a target value. For example, unless otherwise specified in the explicit context of their use, the terms “substantially equal,” “about equal” and “approximately equal” mean that there is no more than incidental variation between among things so described. In the art, such variation is typically no more than +/−10% of a predetermined target value. Unless otherwise specified the use of the ordinal adjectives “first,” “second,” and “third,” etc., to describe a common object, merely indicate that different instances of like objects are being referred to, and are not intended to imply that the objects so described must be in a given sequence, either temporally, spatially, in ranking or in any other manner. For the purposes of the present disclosure, phrases “A and/or B” and “A or B” mean (A), (B), or (A and B). For the purposes of the present disclosure, the phrase “A, B, and/or C” means (A), (B), (C), (A and B), (A and C), (B and C), or (A, B and C). The terms “left,” “right,” “front,” “back,” “top,” “bottom,” “over,” “under,” and the like in the description and in the claims, if any, are used for descriptive purposes and not necessarily for describing permanent relative positions. For example, the terms “over,” “under,” “front side,” “back side,” “top,” “bottom,” “over,” “under,” and “on” as used herein refer to a relative position of one component, structure, or material with respect to other referenced components, structures or materials within a device, where such physical relationships are noteworthy. These terms are employed herein for descriptive purposes only and predominantly within the context of a device z-axis and therefore may be relative to an orientation of a device. Hence, a first material “over” a second material in the context of a figure provided herein may also be “under” the second material if the device is oriented upside-down relative to the context of the figure provided. In the context of materials, one material disposed over or under another may be directly in contact or may have one or more intervening materials. Moreover, one material disposed between two materials may be directly in contact with the two layers or may have one or more intervening layers. In contrast, a first material “on” a second material is in direct contact with that second material. Similar distinctions are to be made in the context of component assemblies. The term “between” may be employed in the context of the z-axis, x-axis or y-axis of a device. A material that is between two other materials may be in contact with one or both of those materials, or it may be separated from both of the other two materials by one or more intervening materials. A material “between” two other materials may therefore be in contact with either of the other two materials, or it may be coupled to the other two materials through an intervening material. A device that is between two other devices may be directly connected to one or both of those devices, or it may be separated from both of the other two devices by one or more intervening devices. Here, multiple non-silicon semiconductor material layers may be stacked within a single fin structure. The multiple non-silicon semiconductor material layers may include one or more “P-type” layers that are suitable (e.g., offer higher hole mobility than silicon) for P-type transistors. The multiple non-silicon semiconductor material layers may further include one or more “N-type” layers that are suitable (e.g., offer higher electron mobility than silicon) for N-type transistors. The multiple non-silicon semiconductor material layers may further include one or more intervening layers separating the N-type from the P-type layers. The intervening layers may be at least partially sacrificial, for example to allow one or more of a gate, source, or drain to wrap completely around a channel region of one or more of the N-type and P-type transistors. The multiple non-silicon semiconductor material layers may be fabricated, at least in part, with self-aligned techniques such that a stacked CMOS device may include both a high-mobility N-type and P-type transistor with a footprint of a single finFET. Here, the term “backend” generally refers to a section of a die which is opposite of a “frontend” and where an IC (integrated circuit) package couples to IC die bumps. For example, high level metal layers (e.g., metal layer 6 and above in a ten-metal stack die) and corresponding vias that are closer to a die package are considered part of the backend of the die. Conversely, the term “frontend” generally refers to a section of the die that includes the active region (e.g., where transistors are fabricated) and low-level metal layers and corresponding vias that are closer to the active region (e.g., metal layer 5 and below in the ten-metal stack die example). For the purposes of present disclosure, the terms “spin” and “magnetic moment” are used equivalently. More rigorously, the direction of the spin is opposite to that of the magnetic moment, and the charge of the particle is negative (such as in the case of electron). It is pointed out that those elements of the figures having the same reference numbers (or names) as the elements of any other figure can operate or function in any manner similar to that described, but are not limited to such. In some embodiments, FM 101 is formed of CFGG (i.e., Cobalt (Co), Iron (Fe), Germanium (Ge), or Gallium (Ga) or a combination of them). In some embodiments, FM 101 comprises one or more of Co, Fe, Ni alloys and multilayer hetero-structures, various oxide ferromagnets, garnets, or Heusler alloys. Heusler alloys are ferromagnetic metal alloys based on a Heusler phase. Heusler phases are intermetallic with certain composition and face-centered cubic crystal structure. The ferromagnetic property of the Heusler alloys are a result of a double-exchange mechanism between neighboring magnetic ions. In some embodiments, the Heusler alloy includes one of: Cu2MnAl, Cu2MnIn, Cu2MnSn, Ni2MnAl, Ni2MnIn, Ni2MnSn, Ni2MnSb, Ni2MnGa Co2MnAl, Co2MnSi, Co2MnGa, Co2MnGe, Pd2MnAl, Pd2MnIn, Pd2MnSn, Pd2MnSb, Co2FeSi, Co2FeAl, Fe2VAl, Mn2VGa, Co2FeGe, MnGa, or MnGaRu. In some embodiments, paramagnet 121 comprises a material which includes one or more of: Platinum (Pt), Palladium (Pd), Tungsten (W), Cerium (Ce), Aluminum (Al), Lithium (Li), Magnesium (Mg), Sodium (Na), Cr2O3(chromium oxide), CoO (cobalt oxide), Dysprosium (Dy), Dy2O (dysprosium oxide), Erbium (Er), Er2O3(Erbium oxide), Europium (Eu), Eu2O3(Europium oxide), Gadolinium (Gd), Gadolinium oxide (Gd2O3), FeO and Fe2O3(Iron oxide), Neodymium (Nd), Nd2O3(Neodymium oxide), KO2(potassium superoxide), praseodymium (Pr), Samarium (Sm), Sm2O3(samarium oxide), Terbium (Tb), Tb2O3(Terbium oxide), Thulium (Tm), Tm2O3(Thulium oxide), or V2O3(Vanadium oxide). In some embodiments, paramagnet 121 comprises dopants which include one or more of: Ce, Cr, Mn, Nb, Mo, Tc, Re, Nd, Gd, Tb, Dy, Ho, Er, Tm, or Yb. In various embodiments, the magnet can be either a FM or a paramagnet. In some embodiments, MESO logic 200 comprises a first magnet 201, a stack of layers (e.g., layers 202, 203, and 204, also labeled as 202 In some embodiments, the first and second magnets 201 and 207, respectively, have in-plane magnetic anisotropy. In some embodiments, first magnet 201 comprises first and second portions, wherein the first portion of first magnet 201 is adjacent to the stack of layers (e.g., layers 202 In some embodiments, conductor 205 (or charge interconnect) is coupled to at least a portion of the stack of layers (e.g., one of layers 202 In some embodiments, the stack of layers (e.g., layers 202 In some embodiments, the charge current Iccharges the capacitor around ME layer 206 In this example, the length of first magnet 201 is Lm, the width of conductor 205 is Wc, the length of conductor 205 from the interface of layer 204 In some embodiments, the input and output charge conductors (211 In some embodiments, an output interconnect 211 In some embodiments, ME layer 206 In some embodiments, first magnet 201 injects a spin polarized current into the high spin-orbit coupling (SOC) material stack (e.g., layers 202 In some embodiments, the stack comprises: i) an interface 203 Here, sufficiently matched atomistic crystalline layers refer to matching of the lattice constant ‘a’ within a threshold level above which atoms exhibit dislocation which is harmful to the device (for instance, the number and character of dislocations lead to a significant (e.g., greater than 10%) probability of spin flip while an electron traverses the interface layer). For example, the threshold level is within 5% (i.e., threshold levels in the range of 0% to 5% of the relative difference of the lattice constants). As the matching improves (i.e., matching gets closer to perfect matching), spin injection efficiency from spin transfer from first magnet 201 to first ISHE/ISOC stacked layer increases. Poor matching (e.g., matching worse than 5%) implies dislocation of atoms that is harmful for the device. Table 1 summarizes transduction mechanisms for converting magnetization to charge current and charge current to magnetization for bulk materials and interfaces. In some embodiments, a transistor (e.g., n-type transistor MN1) is coupled to first contact 209 In some embodiments, along with the n-type transistor MN1 connected to Vdd, an n-type transistor MN2 is provided, which couples layer 203 In some embodiments, n-type transistor MN3 is provided which is operable to couple power supply Vddto second contact 209 In some embodiments, along with the n-type transistor MN4 connected to Vdd, an n-type transistor MN4 is provided which couples layer 204 For purposes of explaining MESO logic device 200, MESO logic device can be considered to have two portions or sections. The first portion/section (or MESO input cell) comprises components/layers from 211 In some embodiments, transistors MN1 and MN2 of the first section are in series with the nanomagnet 201 and SOC stack (202 In this example, in the first MESO section, IIN(or Icharge(IN)) from input conductor 211 The following section describes the spin to charge and charge to spin dynamics. In some embodiments, the spin-orbit mechanism responsible for spin-to-charge conversion is described by the inverse Rashba-Edelstein effect in 2D electron gases. The Hamiltonian (energy) of spin-orbit coupling electrons in a 2D electron gas is:
The spin polarized electrons with direction of polarization in-plane (e.g., in the xy-plane) experience an effective magnetic field dependent on the spin direction: This results in the generation of a charge current Icin interconnect 205 proportional to the spin current Ic(or Js). The spin-orbit interaction by Ag and Bi interface layers 202 and 204 (e.g., the Inverse Rashba-Edelstein Effect (IREE)) produces a charge current Icin the horizontal direction given as: Alternatively, the Inverse Spin Hall Effect in Ta, W, or Pt layer 203 Both IREE and ISHE effects produce spin-to-charge current conversion around 0.1 with existing materials at 10 nm (nanometers) magnet width. For scaled nanomagnets (e.g., 5 nm wide magnets) and exploratory SHE materials such as Bi2Se3, the spin-to-charge conversion efficiency can be between 1 and 2.5. The net conversion of the drive charge current Idriveto magnetization dependent charge current is given as: The charge current Ic, carried by interconnect 205, produces a voltage on the capacitor of ME layer 206 For the following parameters of the magnetoelectric capacitor: thickness tME=5 nm, dielectric constant ε=500, area A=60 nm×20 nm. Then the capacitance is given as: Demonstrated values of the magnetoelectric coefficient is αME˜10/c, where the speed of light is c. This translates to the effective magnetic field exerted on second semi-insulating magnet 207, which is expressed as: The charge on the capacitor of ME layer 206 In some embodiments, materials for first and second magnets 201 and 207 have saturated magnetization Msand effective anisotropy field Hk. Saturated magnetization Msis generally the state reached when an increase in applied external magnetic field H cannot increase the magnetization of the material. Anisotropy Hkgenerally refers material properties that are highly directionally dependent. In some embodiments, materials for first and second magnets 201 and 207, respectively, are non-ferromagnetic elements with strong paramagnetism which have a high number of unpaired spins but are not room temperature ferromagnets. A paramagnet, as opposed to a ferromagnet, exhibits magnetization when a magnetic field is applied to it. Paramagnets generally have magnetic permeability greater or equal to one and hence are attracted to magnetic fields. In some embodiments, magnet contacts 209 In some embodiments, first and second magnets 201 and 207, respectively, are ferromagnets. In some embodiments, first and second magnets 201 and 207, respectively, comprise one or a combination of materials which includes one or more of: a Heusler alloy, Co, Fe, Ni, Gd, B, Ge, Ga, permalloy, or Yttrium Iron Garnet (YIG), and wherein the Heusler alloy is a material which includes one or more of: Cu, Mn, Al, In, Sn, Ni, Sb, Ga, Co, Fe, Si, Pd, Sb, V, Ru, Cu2MnAl, Cu2MnIn, Cu2MnSn, Ni2MnAl, Ni2MnIn, Ni2MnSn, Ni2MnSb, Ni2MnGa Co2MnAl, Co2MnSi, Co2MnGa, Co2MnGe, Pd2MnAl, Pd2MnIn, Pd2MnSn, Pd2MnSb, Co2FeSi, Co2FeAl, Fe2VAl, Mn2VGa, Co2FeGe, MnGa, MnGaRu, or Mn3X, where ‘X’ is one of Ga or Ge. In some embodiments, the stack of layers providing spin orbit coupling comprises: a first layer 202 ME materials may be divided into three categories. The first category of materials provide polarization and anti-ferromagnetization. These materials include Bismuth ferrite (BFO), Lithium Iron Oxide (LFO) super lattice. The second category of materials also provides polarization and anti-ferromagnetization, but at low temperatures. These materials include TbMnO3and similar multiferroic materials. The third category of materials are magnetoelectric para-electrics. These magnetoelectric para-electrics materials lack polarization, but provide anti-ferromagnetization. The magnetoelectric para-electrics materials include chromia (Cr2O3). In some embodiments, ME layer 206 In some embodiments, first contact 209 In some embodiments, first semi-insulating magnet 209 In some embodiments, first and second semi-insulating magnets 209 In some embodiments, the magnetization of first semi-insulating magnet 209 While various embodiments are illustrated with n-type transistors MN1, MN2, MN3, and MN3, p-type transistors can be used instead and the switching gate signals can be logically inversed. In some embodiments, a combination of n-type and p-type transistors are used. For example, the transistors coupled to power supply Vddare p-type transistors while the transistors coupled to ground are n-type transistors. Appropriate logic change can be made to the driving gate signals to achieve the same technical effect (e.g., unidirectionality) as achieved by the n-type transistors MN1, MN2, MN3, and MN3. In some embodiments, a combination of n-type and p-type devices (e.g., transmission gates) can be used instead of n-type transistors MN1, MN2, MN3, and MN3. LK model 400 illustrates a circuit that provides ferroelectric voltage VFEand comprises capacitor C0 in parallel with a series coupled resistance p and internal capacitance CF(QFE) that provides internal voltage Vint. Here, ‘A’ is the area of capacitor C0, ‘d’ is the distance between the plates of capacitor C0, and E0 is the dielectric constant. Plot 420 shows the capacitance behavior of a ferroelectric capacitor (FE-Cap) when connected with a load capacitor. Here, x-axis is the internal voltage Vintin volts, while the y-axis is charge from the ferroelectric capacitor when connected with a load capacitor. The dotted region in plot 420 represents the negative capacitance region between the coercive voltage bounds. When a voltage source drives the FE-Cap connected with a load capacitor, the operating region of an FE-cap is biased by the load capacitance. When the FE-Cap is biased at the negative capacitance region (e.g., charge on FE-cap is positive while the voltage across the FE-cap is negative, and vice versa), the voltage across the load capacitance can be higher than the input voltage, owning to the ferroelectric polarity charge induced voltage amplification effect. On the other hand, when the FE-Cap is biased at the positive capacitance region, it operates as a regular capacitor. The negative capacitance effect has been mainly utilized for transistor gate stack enhancement (e.g., negative capacitance FETs) for low-voltage transistors. Some embodiments use the concept of negative capacitance to a MESO logic to enhance the switching of magnets via the magnetoelectric layer. In some embodiments, Vclk3is applied to control the input drivers (gates of transistors MN1 and MN2) of MESO stage 501. In some embodiments, the input driver provides a positive current IN to the first ferroelectric capacitor 206 During time t0 (e.g., 5 ns to 7 ns), Vclk1=Vclk3=1, Vclk1=0, ISUPPLYof MESO stage 501 is on while ISUPPLYof MESO stage 502 is off. The ferroelectric 206 During time t1 (e.g., 7 ns to 9 ns), Vclk3=Vclk2=0, Vclk1=1, ferroelectrics 206 In The operation principle of the MESO minority gate 900 is as follows. When states A and B of input MESO cell 901 and 902 are in State “0” (−QF, magnetization in +y-axis direction) and state C of input MESO cell 903 is in State “1” (+QF, magnetization in −y-axis direction), MESO cells 901 and 902 generate output current Ich1and Ich2, respectively, along +x-axis direction, MESO cell 903 generates −x-axis direction. The summation of the output current of MESO devices 901, 902, and 903 generates a current Icharge(IN4)in the same direction (e.g., +x-axis direction) as the output current of MESO 901 or 902, assuming near symmetric output current magnitude for State “1” and State “0”. The summation of the output current from conductors 2051-3Icharge(IN4)then deposits positive charge in MESO device 905 at its input node (or interconnect) 904, switching magnet 207 of MESO 905 to State “1”. The resulting MESO 905's state is the same state C of MESO 903, which is the “minority” state among A, B and C. The truth table of the 3-input MESO minority gate is shown in For MESO input cell 901, the input magnet 201 is coupled to supply Vddvia contact 209 During time t0, Vclk1=1 and Vclk2=0, ISUPPLYof MESO inputs cells 901, 902, and 903 is on while ISUPPLYof MESO output cell stage 905 is off. The ferroelectric 206 During time t1 after t0, Vclk2=0 and Vclk1=1, a transient current path exists from Vddof MESO stage 905 to ground of MESO stage 905. This allows the MESO output cell 905 to provide the minority logic function output. When phases of VCLK1and VCLK2overlap, MESO input cells 901, 902, and 903 drive MESO 905 and generates an input current to MESO 905 based on the summation of output currents on interconnect 904. The minority function is completed by MESO output cell 905, where its state follows the minority among states of MESO input cells 901, 902, and 903. In the example of While two clocks are shown for MESO device 1000, more than two clocks may be used. For example, each MESO input cell may operate on its own clock such that there is small overlap between the clocks of the MESO input cells. Since MESO minority function is based on the current summation at each input node of the MESO device, the symmetrical output current magnitude for State “1” and State “0” in the MESO devices is used for minority function. Moreover, the MESO supply current determines the output current magnitude, the peripheral CMOS circuit to generate the supply current for MESO minority gate is used in MESO minority function. As discussed with reference to The ME structure 206 The ME is a ferroelectric capacitor CFEcomprising of a metal plate, ferroelectric dielectric and a ferro-magnet. A hardware transfer language such as Verilog-A can be used to model the ferroelectric switching characteristics. The ferro-magnet state represents the MESO state, where the state “1” and state “0” are corresponding to positive polarization charge (+Q) and negative polarization charge (−Q) stored on CFE, respectively. The SO (converting spin current to output current) is a current controlled current source. For 100% conversion efficiency, the generated 2D electron gas IISOCequals to current through the ISOC stack (IRS1), and the direction of the current is determined by the ferro-magnet state (modelled by the normalized polarization state QFEnorm). If +Q is stored in CFE(state “1”), IOUTPUTis in the opposite direction compared to IINPUT. The simulation results use the following MESO parameters: Rs1=Rs2=100 Ohm, RFM=RIC=1 kOhm, RISOC=5 k Ohm, CFEis 320 aC polarization charge with Vdd=150 mV, 2 fins for both NMOS devices, VCLK1and VCLK2are at 1V. Note that MESO energy scales linearly with ferroelectric charge. At 32 aC polarization charge, Vdd=100 mV, the switching of a single stage MESO device is 10 aJ. The path to 1 aJ/bit is feasible with 1 uC/cm2ferroelectrics operating at 100 mV supply voltage. The header and footer NMOS transistors (MN11-3, MN3, and MN21-3, MN4) at each MESO device are applied to synchronize the switching operation and provide the supply current. Since MESO devices are in the interconnect metal layer of a die, the peripheral CMOS transistors are in the device layer that connect to MESO through metal vias. For example, MESO devices can be formed in the backend while the transistors can be formed in the frontend of the die. For input stages 1401 Similar as the cascaded MESO design of The usage of the current mirror (1600) ensures consistent drive current Idrivethrough every MESO device regardless of the states. For example, when VCLK1is ON, MESO cells 1601 For example, assuming different MESO states of 1601 At block 2401, a magnet 201 is formed having a first portion and a second portion. At block 2402, a stack of layers (202 In some embodiments, the method comprises forming an output MESO device, which comprises a second magnet 207 having a first portion and a second portion. In some embodiments, the method comprises forming a second stack of layers (202 At least two more MESO input cells are fabricated (e.g., blocks 2401 through 2407) and then coupled to the MESO output cell. Each MESO input cell receives a separate input, wherein the MESO output cell performs a minority function on the inputs received by the MESO input cells. In some embodiments, the first clock (Vclk1) has a first phase, wherein the second clock (Vclk1) has a second phase, and wherein the first phase is different from the second phase. For example, the first phase overlaps the second phase of ⅓. In some embodiments, the first, second, third, and fourth devices have the same conductivity type (e.g., n-type conductivity). In some embodiments, the first and third devices have a first conductivity type (e.g., p-type conductivity), and wherein the second and fourth devices have a second conductivity type (e.g., n-type conductivity). In some embodiments, the first layer and the second layer include one or more of: Cr, O, or multiferroic material. In some embodiments, the multiferroic material includes one of: BiFeO3, LuFeO2, LuFe2O4, or La doped BiFeO3, or wherein the multiferroic material includes one of: Bi, Fe, O, Lu, or La. In some embodiments, the first stack of layers and the second stack of layers comprise a material which includes one or more of: β-Ta, β-W, W, Pt, Cu doped with Iridium, Cu doped with Bismuth, or Cu doped an element of 3d, 4d, 5d, 4f, or 5f of periodic table groups. In some embodiments, the first and second magnets comprise a paramagnet or a ferromagnet, or wherein the first and second magnets comprises a material which includes one or more of: Pt, Pd, W, Ce, Al, Li, Mg, Na, Cr, O, Co, Dy, Er, Eu, Gd, Fe, Nd, K, Pr, Sm, Tb, Tm, or V. In some embodiments, the first and second magnets comprise one or a combination of materials which includes one or more of: a Heusler alloy, Co, Fe, Ni, Gd, B, Ge, Ga, permalloy, or Yttrium Iron Garnet (YIG), and wherein the Heusler alloy is a material which includes one or more of: Cu, Mn, Al, In, Sn, Ni, Sb, Ga, Co, Fe, Si, Pd, Sb, V, Ru. In some embodiments, computing device 1600 includes first processor 1610 with MESO minority gate device, according to some embodiments discussed. Other blocks of the computing device 1600 may also include a MESO minority gate device, according to some embodiments. The various embodiments of the present disclosure may also comprise a network interface within 1670 such as a wireless interface so that a system embodiment may be incorporated into a wireless device, for example, cell phone or personal digital assistant. In some embodiments, processor 1610 can include one or more physical devices, such as microprocessors, application processors, microcontrollers, programmable logic devices, or other processing means. The processing operations performed by processor 1610 include the execution of an operating platform or operating system on which applications and/or device functions are executed. The processing operations include operations related to I/O (input/output) with a human user or with other devices, operations related to power management, and/or operations related to connecting the computing device 1600 to another device. The processing operations may also include operations related to audio I/O and/or display I/O. In some embodiments, computing device 1600 includes audio subsystem 1620, which represents hardware (e.g., audio hardware and audio circuits) and software (e.g., drivers, codecs) components associated with providing audio functions to the computing device. Audio functions can include speaker and/or headphone output, as well as microphone input. Devices for such functions can be integrated into computing device 1600, or connected to the computing device 1600. In one embodiment, a user interacts with the computing device 1600 by providing audio commands that are received and processed by processor 1610. In some embodiments, computing device 1600 comprises display subsystem 1630. Display subsystem 1630 represents hardware (e.g., display devices) and software (e.g., drivers) components that provide a visual and/or tactile display for a user to interact with the computing device 1600. Display subsystem 1630 includes display interface 1632, which includes the particular screen or hardware device used to provide a display to a user. In one embodiment, display interface 1632 includes logic separate from processor 1610 to perform at least some processing related to the display. In one embodiment, display subsystem 1630 includes a touch screen (or touch pad) device that provides both output and input to a user. In some embodiments, computing device 1600 comprises I/O controller 1640. I/O controller 1640 represents hardware devices and software components related to interaction with a user. I/O controller 1640 is operable to manage hardware that is part of audio subsystem 1620 and/or display subsystem 1630. Additionally, I/O controller 1640 illustrates a connection point for additional devices that connect to computing device 1600 through which a user might interact with the system. For example, devices that can be attached to the computing device 1600 might include microphone devices, speaker or stereo systems, video systems or other display devices, keyboard or keypad devices, or other I/O devices for use with specific applications such as card readers or other devices. As mentioned above, I/O controller 1640 can interact with audio subsystem 1620 and/or display subsystem 1630. For example, input through a microphone or other audio device can provide input or commands for one or more applications or functions of the computing device 1600. Additionally, audio output can be provided instead of, or in addition to display output. In another example, if display subsystem 1630 includes a touch screen, the display device also acts as an input device, which can be at least partially managed by I/O controller 1640. There can also be additional buttons or switches on the computing device 1600 to provide I/O functions managed by I/O controller 1640. In some embodiments, I/O controller 1640 manages devices such as accelerometers, cameras, light sensors or other environmental sensors, or other hardware that can be included in the computing device 1600. The input can be part of direct user interaction, as well as providing environmental input to the system to influence its operations (such as filtering for noise, adjusting displays for brightness detection, applying a flash for a camera, or other features). In some embodiments, computing device 1600 includes power management 1650 that manages battery power usage, charging of the battery, and features related to power saving operation. Memory subsystem 1660 includes memory devices for storing information in computing device 1600. Memory can include nonvolatile (state does not change if power to the memory device is interrupted) and/or volatile (state is indeterminate if power to the memory device is interrupted) memory devices. Memory subsystem 1660 can store application data, user data, music, photos, documents, or other data, as well as system data (whether long-term or temporary) related to the execution of the applications and functions of the computing device 1600. Elements of embodiments are also provided as a machine-readable medium (e.g., memory 1660) for storing the computer-executable instructions (e.g., instructions to implement any other processes discussed herein). The machine-readable medium (e.g., memory 1660) may include, but is not limited to, flash memory, optical disks, CD-ROMs, DVD ROMs, RAMs, EPROMs, EEPROMs, magnetic or optical cards, phase change memory (PCM), or other types of machine-readable media suitable for storing electronic or computer-executable instructions. For example, embodiments of the disclosure may be downloaded as a computer program (e.g., BIOS) which may be transferred from a remote computer (e.g., a server) to a requesting computer (e.g., a client) by way of data signals via a communication link (e.g., a modem or network connection). In some embodiments, computing device 1600 comprises connectivity 1670. Connectivity 1670 includes hardware devices (e.g., wireless and/or wired connectors and communication hardware) and software components (e.g., drivers, protocol stacks) to enable the computing device 1600 to communicate with external devices. The computing device 1600 could be separate devices, such as other computing devices, wireless access points or base stations, as well as peripherals such as headsets, printers, or other devices. Connectivity 1670 can include multiple different types of connectivity. To generalize, the computing device 1600 is illustrated with cellular connectivity 1672 and wireless connectivity 1674. Cellular connectivity 1672 refers generally to cellular network connectivity provided by wireless carriers, such as provided via GSM (global system for mobile communications) or variations or derivatives, CDMA (code division multiple access) or variations or derivatives, TDM (time division multiplexing) or variations or derivatives, or other cellular service standards. Wireless connectivity (or wireless interface) 1674 refers to wireless connectivity that is not cellular, and can include personal area networks (such as Bluetooth, Near Field, etc.), local area networks (such as Wi-Fi), and/or wide area networks (such as WiMax), or other wireless communication. In some embodiments, computing device 1600 comprises peripheral connections 1680. Peripheral connections 1680 include hardware interfaces and connectors, as well as software components (e.g., drivers, protocol stacks) to make peripheral connections. It will be understood that the computing device 1600 could both be a peripheral device (“to” 1682) to other computing devices, as well as have peripheral devices (“from” 1684) connected to it. The computing device 1600 commonly has a “docking” connector to connect to other computing devices for purposes such as managing (e.g., downloading and/or uploading, changing, synchronizing) content on computing device 1600. Additionally, a docking connector can allow computing device 1600 to connect to certain peripherals that allow the computing device 1600 to control content output, for example, to audiovisual or other systems. In addition to a proprietary docking connector or other proprietary connection hardware, the computing device 1600 can make peripheral connections 1680 via common or standards-based connectors. Common types can include a Universal Serial Bus (USB) connector (which can include any of a number of different hardware interfaces), DisplayPort including MiniDisplayPort (MDP), High Definition Multimedia Interface (HDMI), Firewire, or other types. Reference in the specification to “an embodiment,” “one embodiment,” “some embodiments,” or “other embodiments” means that a particular feature, structure, or characteristic described in connection with the embodiments is included in at least some embodiments, but not necessarily all embodiments. The various appearances of “an embodiment,” “one embodiment,” or “some embodiments” are not necessarily all referring to the same embodiments. If the specification states a component, feature, structure, or characteristic “may,” “might,” or “could” be included, that particular component, feature, structure, or characteristic is not required to be included. If the specification or claim refers to “a” or “an” element, that does not mean there is only one of the elements. If the specification or claims refer to “an additional” element, that does not preclude there being more than one of the additional element. Furthermore, the particular features, structures, functions, or characteristics may be combined in any suitable manner in one or more embodiments. For example, a first embodiment may be combined with a second embodiment anywhere the particular features, structures, functions, or characteristics associated with the two embodiments are not mutually exclusive. While the disclosure has been described in conjunction with specific embodiments thereof, many alternatives, modifications and variations of such embodiments will be apparent to those of ordinary skill in the art in light of the foregoing description. The embodiments of the disclosure are intended to embrace all such alternatives, modifications, and variations as to fall within the broad scope of the appended claims. In addition, well known power/ground connections to integrated circuit (IC) chips and other components may or may not be shown within the presented figures, for simplicity of illustration and discussion, and so as not to obscure the disclosure. Further, arrangements may be shown in block diagram form in order to avoid obscuring the disclosure, and also in view of the fact that specifics with respect to implementation of such block diagram arrangements are highly dependent upon the platform within which the present disclosure is to be implemented (i.e., such specifics should be well within purview of one skilled in the art). Where specific details (e.g., circuits) are set forth in order to describe example embodiments of the disclosure, it should be apparent to one skilled in the art that the disclosure can be practiced without, or with variation of, these specific details. The description is thus to be regarded as illustrative instead of limiting. An abstract is provided that will allow the reader to ascertain the nature and gist of the technical disclosure. The abstract is submitted with the understanding that it will not be used to limit the scope or meaning of the claims. The following claims are hereby incorporated into the detailed description, with each claim standing on its own as a separate embodiment.BACKGROUND
BRIEF DESCRIPTION OF THE DRAWINGS
DETAILED DESCRIPTION
Transduction mechanisms for Spin to Charge and Charge to Spin Conversion Spin → Charge Charge → Spin Bulk Inverse Spin Hall Effect Magnetoelectric effect Interface Inverse Rashba-Edelstein Effect Magnetoelectric effect
where αRis the Rashba-Edelstein coefficient, ‘k’ is the operator of momentum of electrons, {circumflex over (z)} is a unit vector perpendicular to the 2D electron gas, and {grave over (σ)} is the operator of spin of electrons.
where μBis the Bohr magneton.
where Wmis width of the input magnet 201, and λIREEis the IREE constant (with units of length) proportional to αR.
where ‘P’ is the dimensionless spin polarization. For this estimate, the drive current Idriveand the charge current Ic=Id=100 μA is set. As such, when estimating the resistance of the ISHE interface to be equal to R=100Ω, then the induced voltage is equal to VISHE=10 mV.
This is a strong field sufficient to switch magnetization.
and the time to fully charge it to the induced voltage is
(with the account of decreased voltage difference as the capacitor charges). If the driving voltage is Vd=100 mV, then the energy Eswto switch is expressed as:
which is comparable to the switching energy of CMOS transistors. Note that the time to switch tswmagnetization remains much longer than the charging time and is determined by the magnetization precession rate. The micro-magnetic simulations predict this time to be tsw˜100 ps, for example.