MOSFET | metal-oxide-semiconductor field-effect transistor |
CMOS | complementary MOSFET |
SOI | silicon on insulator |
GMR | giant magnetoresistance |
TMR | tunnel magnetoresistance |
MRAM | magnetoresistive random-access memory |
SpinFET | spin field-effect transistor |
FinFET | fin-shaped field-effect transistor |
MTJ | magnetic tunnel junction |
STT | spin transfer torque |
UTB | ultra-thin body |
SOC | spin-orbit coupling |
SOF | effective spin-orbit field |
EY | Elliot-Yafet mechanism |
DP | D’yakonov-Perel’ mechanism |
DOS | density of states |
FMS | ferromagnetic semiconductor |
TCAD | technology computer aided design |
q | fundamental charge |
me | electron rest mass |
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ϵ0 | vacuum permittivity |
ϵSi | silicon permittivity |
a | silicon lattice constant |
KB | Boltzmann constant |
ℏ | reduced Planck constant |
EF | Fermi level |
k | wave vector |
p | momentum vector |
k0 | position of the valley minimum relative to the X-point in unstrained silicon |
k0Γ | position of the valley minimum relative to the Γ-point in unstrained silicon |
mt | transversal effective mass of silicon |
ml | longitudinal effective mass of silicon |
Ũ(z) | confinement potential |
c | speed of light |
E | electron energy |
| electron effective mass |
σx,y,z | Pauli matrices |
T | temperature |
t | film thickness |
△SO | spin-orbit splitting |
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εxy | shear strain component |
NS | electron concentration |
L | autocorrelation length |
△ | mean square value of the surface roughness fluctuations |
D | shear deformation potential |
Ξ | acoustic deformation potential |
DOP | optical deformation potential |
νTA | transversal acoustic phonon velocity |
νLA | longitudinal acoustic phonon velocity |
ωop | frequency of the optical phonons |
τs | spin lifetime |
τm | momentum relaxation time |
Θ | polar angle defining the spin injection orientation in (001) plane |
Φ | azimuthal angle defining the spin injection orientation in (001) plane |
ΔΓ | splitting at Γ-point in unstrained silicon |
Jn | electron current density vector |
Jp | hole current density vector |
μn | electron mobility |
μp | hole mobility |
Dn | electron diffusion coefficient |
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Ẽ | electric field vector |
V | electric potential |
ND | donor doping concentration per unit volume |
NC | effective density of states in the conduction band |
∇ | nabla operator |
| time |
VT | thermal potential |
n↑ | up-spin electron concentration per unit volume |
n↓ | down-spin electron concentration per unit volume |
s | spin concentration per unit volume |
M↑ | up-spin chemical potential |
M↓ | down-spin chemical potential |
G | spin chemical potential drop |
P | bulk spin polarization (ferromagnet) |
Js | spin current density vector |
Li | intrinsic spin diffusion length |
λD | Debye charge screening length |
Lu | up-stream spin diffusion length |
Ld | down-stream spin diffusion length |
α | polarization for spin current density |
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β | polarization for spin density |
α0 | polarization for spin current density at the boundary |
β0 | polarization for spin density at the boundary |
B(x) | Bernoulli function |
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