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Spin
Intrinsic angular momentum of an electron, typically described as spin-up (+1/2) or spin-down (−1/2)
Spin Polarization
An imbalance between spin-up and spin-down electrons
Spin Current
Flow of spin angular momentum through a material
Charge Current
Flow of electric charge through a material
Spin Hall Effect (SHE)
A charge current generates a transverse spin current due to spin-orbit coupling
Inverse Spin Hall Effect (ISHE)
A spin current generates a transverse charge current or voltage
Spin Accumulation
Build-up of spins at the edges or interfaces of a material
Spin Diffusion Length
Characteristic distance over which spin polarization survives before decaying
Spin Relaxation Time
Average time before electron spins randomize
Momentum Relaxation Time
Average time between electron scattering events
Spin-orbit Coupling
Interaction between an electron’s spin and its motion through a material
Spin Hall Angle
Measure of how efficiently charge current converts into spin current
Spin-transfer Torque
Torque on a magnetic layer caused by spin-polarized current flowing directly through it
Spin-orbit Torque
Torque generated by spin accumulation from spin-orbit effects in an adjacent layer
Torque
A force that causes magnetization to rotate or precess
Magnetization Precession
Rotational motion of magnetization around an effective magnetic field
Ferromagnet
Material with aligned magnetic moments and spontaneous magnetization
Magnetic Anisotropy
Preference of magnetization to point in a certain direction
Perpendicular Magnetic Anisotropy (PMA)
Magnetization prefers pointing out-of-plane
Topological Insulator
Material insulating in the bulk but conductive at the surface with strong spin-orbit effects
Transition Metal Dichalcogenide (TMD)
2D material with formula MX₂ often showing strong spin-orbit coupling.
Berry Phase
Geometric phase accumulated by a quantum state during cyclic evolution
Berry Curvature
Momentum-space quantity acting like an effective magnetic field for electrons
Fermi Velocity
Velocity of electrons near the Fermi level
Drift Velocity
Average electron velocity caused by an electric field
Anomalous Hall Effect
Transverse voltage caused by spin-orbit coupling and magnetization
Hall Voltage
Voltage generated perpendicular to current flow
Spin Pumping
Generation of spin current from a precessing magnet
Spin Mixing Conductance
Measure of spin transfer efficiency across an interface
Gilbert Damping
Dissipation term describing loss of magnetization precession energy
Heavy Metal
Material with strong spin-orbit coupling used for spin current generation
Spin Texture
Spatial arrangement of spin directions in momentum or real space
Cyclic Evolution
Process by which a quantum state accumulates a geometric phase while undergoing periodic changes
Current in x-direction → SHE produces what?
Spin current in y-direction with spins polarized along z
Where does spin accumulate during SHE?
At opposite edges of the sample/channel
Top edge spin direction in SHE?
+z polarization.
Bottom edge spin direction in SHE?
-z polarization.
ISHE geometry
Spin current + spin polarization generate transverse charge current
Transverse response
A current, voltage, or spin accumulation appearing perpendicular to the applied input
Cross product rule in spintronics
Generated response is perpendicular to both current direction and spin direction
DRAM
Dynamic RAM storing charge in capacitors; volatile because charge leaks over time
Volatile memory
Memory requiring power to retain information
Non-volatile memory
Memory retaining information without power
MRAM
Magnetic RAM using magnetic states to store bits
Magnetic tunnel junction (MTJ)
Two magnetic layers separated by a thin insulating barrier
Tunnel magnetoresistance (TMR)
Resistance change depending on relative magnetic alignment of layers
Parallel magnetic alignment
Lower resistance state
Antiparallel magnetic alignment
Higher resistance state
Free layer
Magnetic layer whose magnetization switches
Reference layer
Fixed magnetic layer used for comparison
Spin Hall material
Material used to efficiently generate spin current from charge current
SOT-MRAM
MRAM using spin-orbit torque switching instead of direct current through the MTJ
Radiation hardness
Resistance of electronics to radiation damage
Bi₂Se₃
Topological insulator with strong spin-orbit coupling
Bi₂Te₃
Topological insulator commonly studied for spin transport
WTe₂
TMD with strong spin-orbit effects and broken symmetry
PtTe₂
Transition metal dichalcogenide with strong SOC
TaIrTe₄
Weyl semimetal candidate with strong spin effects
CrTe₂
Magnetic layered material used in spintronics research
Pt (Platinum)
Heavy metal commonly used for SHE experiments
Ta (Tantalum)
Heavy metal often used in SOT devices
MBE (Molecular Beam Epitaxy)
Ultra-high vacuum thin-film growth method using atomic beams
Ultra-high vacuum (UHV)
Extremely low-pressure environment minimizing contamination
Epitaxy
Growth of a crystalline film aligned with the substrate crystal structure
Thin film
Material layer with thickness from atomic scale to microns
Substrate
Base material on which films are grown
Flux (MBE)
Rate at which atoms arrive at the substrate
Effusion cell
Heated source evaporating material during MBE growth
Reflection High-Energy Electron Diffraction (RHEED)
Used for monitoring surface growth in real time
Base pressure
Lowest pressure achieved in a vacuum system
Deposition rate
Speed at which material is deposited onto a substrate
Annealing
Controlled heating to improve crystal quality or interfaces
X-ray diffraction (XRD)
Technique used to determine crystal structure and orientation
Bragg’s Law
Relationship describing constructive interference of x-rays from crystal planes
X-ray reflectivity (XRR)
Technique measuring thin-film thickness and interface quality
Atomic force microscopy (AFM)
Surface imaging technique using a nanoscale probe tip
Scanning electron microscopy (SEM)
Electron imaging technique for surface morphology
Transmission electron microscopy (TEM)
High-resolution imaging through thin samples
Energy dispersive spectroscopy (EDS/EDX)
Elemental analysis using emitted x-rays
Hall measurement
Electrical measurement used to determine carrier density and mobility
Harmonic Hall measurement
Technique for measuring spin-orbit torque strength
SQUID magnetometry
Extremely sensitive magnetization measurement technique
VSM (Vibrating Sample Magnetometry)
Measures magnetic moment using induced voltage
Photolithography
Patterning process using light and photoresist
Photoresist
Light-sensitive material used for lithography
Positive photoresist
Exposed regions become soluble in developer
Negative photoresist
Exposed regions become insoluble
Spin coating
Spreading photoresist uniformly by rapid rotation
Soft bake
Heating step to remove solvent from photoresist
Mask alignment
Aligning photomask pattern with substrate
UV exposure
Exposing resist to ultraviolet light through a mask
Development
Removing soluble regions of photoresist
Hard bake
Post-development bake improving resist durability
Lift-off
Removing resist to leave patterned deposited material behind
Etching
Removing material selectively from exposed regions
Wet etching
Chemical liquid-based material removal
Dry etching
Plasma-based material removal
Ion milling
Physical sputtering process used for etching
Cleanroom
Controlled environment minimizing particles and contamination
Class 100 cleanroom
Fewer than 100 particles (>0.5 μm) per cubic foot of air