Nomenclature

Acronyms and Abbreviations

BDFT

Box discrete Fourier transform

BTE

Boltzmann transport equation

DD

Drift-diffusion

DFT

Discrete Fourier transform

DOS

Density of states

EDA

Electronic design automation

ET

Energy transport

FD

Finite difference

FET

Field-effect transistor

FFT

Fast Fourier transform

ICFE

Intra-collisional field effect

LHS

Left-hand side

MFP

Mean free path

MOSFET

Metal-oxide-semiconductor field-effect transistor

MPI

Message passing interface

NEGF

Non-equilibrium Green’s function

PRL

Phase relaxation length

QTBM

Quantum transmitting boundary method

RF

Radio frequency

RHS

Right-hand side

RTD

Resonant tunnelling diode

RTD

Resonant tunnelling diode

TCAD

Technology computer-aided design

UTB-SOI

Ultra-thin base silicon-on-insulator

WBE

Wigner-Boltzmann equation

WEMC

Wigner ensemble Monte Carlo

WMC

Wigner Monte Carlo

WP

Wigner potential

Globally Defined Mathematical Symbols

B

Magnetic field

d

Dimensionality of position space

d′

Dimensionality of wavevector

E

Electric field

e

Magnitude of elementary charge

E

Energy

F

Force

f_w

Wigner function

ℏ

Reduced Planck constant

k

Wavevector

κ

Dielectric permittivity

L

Coherence length

m^*

Effective mass of an electron

p

Momentum

q

Integer multi-index for discretized wavevector

r

Position

V

Electrostatic potential

v_g

Group velocity

V _w

Wigner potential