Physical Quantities
Symbol |
| Unit |
| Description |
τ_{i} |
| s |
| Lifetime of i-th state |
τ_{tunnel} |
| s |
| Tunneling time |
ΔE |
| eV |
| Energy separation |
Ψ |
| m^{-3∕2} |
| Wave function in three dimensions |
A |
| m^{2} |
| Cross-sectional area of the the quantum well structure |
k_{∥} |
| m^{-1} |
| In-plane wave vector |
Φ_{νλ}^{η} |
| m^{-1∕2} |
| Electron envelope function of ν-th subband, valley η and stage λ |
Ĥ |
| eV |
| Total Hamiltonian of the system |
E_{α} |
| eV |
| Energy of the α-th state |
m^{⋆} |
| kg |
| Effective electron mass |
V_{0} |
| eV |
| Conduction band offset |
F |
| Vm^{-1} |
| External bias field |
φ |
| V |
| Electrostatic potential |
D |
| Cm^{-2} |
| Electric displacement field |
ε_{s} |
| AsV^{-1}m^{-1} |
| Static dielectric permittivity |
n |
| m^{-3} |
| Electron concentration |
E_{ F } |
| eV |
| Quasi Fermi level |
Symbol |
| Unit |
| Description |
N_{s} |
| m^{-2} |
| Electron sheet density |
E_{νλ}^{η} |
| eV |
| Energy level of ν-th subband in the valley η and stage λ |
T |
| K |
| Lattice temperature |
R_{α} |
| 1 |
| Reflexion coefficient of state α |
T_{α} |
| 1 |
| Transmission coefficient of state α |
| eV |
| Liouville operator | |
| s^{-1} |
| Scattering rate between the states α^{′} and α | |
J |
| Am^{-2} |
| Current density |
F_{α′ }^{α } |
| 1 |
| Form factor between the states α^{′} and α |
I_{α }^{α′ } |
| m^{-1} |
| Overlap integral between the states α^{′} and α |