List of Symbols

T temperature
m0 electron rest mass
a lattice constant
c speed of light
U confinement potential
V bulk crystal potential
H Hamiltonian
σxyz Pauli matrices
t film thickness
K wave vector
EF Fermi energy
T() spin-up (spin-down) transmission probability
G conductance
P spin polarization
B magnetic field
g LandŽe factor
z strength of the Schottky barriers
h0 exchange splitting energy
αR strength of the spin-orbit interaction (Rashba-like)
β strength of the spin-orbit interaction (Dresselhaus-like)
μB Bohr magneton
δEC subband mismatch between ferromagnetic region and channel
mf* effective mass for the ferromagnetic region
ms* effective mass for the semiconductor region
τ momentum (spin) lifetime
εxy shear strain component
mt transversal silicon effective mass
ml longitudinal silicon effective mass
θ polar angle defining the orientation of the injected spin
φ azimuth angle defining the orientation of the injected spin
ϵ dielectric permittivity
L autocorrelation length
Δ mean square value of the surface roughness fluctuations
E electron energy
ρ density
ΔEC conduction band offset
ΔΓ splitting at the Γ-point
ΔSO spin-orbit splitting
k0 position of the valley minimum relative to the X-point in unstrained silicon
k position of the valley minimum relative to the Γ-point in unstrained silicon
ωop frequency of the optical phonons
D shear strain deformation potential
Ξ acoustic deformation potential
Dop optic deformation potential