Physical Quantities

Symbol   Unit   Description
$ \ensuremath {\mathrm{q}}\chi_\mathrm{CNT}$   eV   Electron affinity of a CNT
$ \ensuremath {\mathrm{q}}\Phi_\mathrm{CNT}$   eV   Work function of a CNT
$ \ensuremath {\mathrm{q}}\Phi_\mathrm{M}$   eV   Work function of the metal
$ \ensuremath {\mathrm{q}}\Phi_\mathrm{Be}$   eV   Energy barrier height for electrons
$ \ensuremath {\mathrm{q}}\Phi_\mathrm{Bh}$   eV   Energy barrier height for holes
$ \phi$   V   Electrostatic potential
$ \hbar \omega $   eV   Phonon energy
$ D_\mathrm{OP}$   eV$ ^2$   Electron-optical-phonon coupling coefficient
$ D_\mathrm{AP}$   eV$ ^2$   Electron-acoustic-phonon coupling coefficient
$ E$   eV   Energy
$ E_\mathrm{f}$   eV   FERMI energy
$ E_\mathrm{c}$   eV   Conduction band edge energy
$ E_\mathrm{v}$   eV   Valence band edge energy
$ E_\mathrm{g}$   eV   Band gap energy
$ E_\mathrm{i}$   eV   Intrinsic energy
$ g$   m$ ^{-1}$eV$ ^{-1}$   Density of states
$ \mathbf{J}$   A   Current
$ k$   m$ ^{-1}$   Wave number
$ \mathbf{k}$   m$ ^{-1}$   Wave number vector
$ \varepsilon$   AsV$ ^{-1}$m$ ^{-1}$   Dielectric permittivity
$ L_\mathrm{GS}$   m   Gate-source spacer length
$ L_\mathrm{DS}$   m   Drain-source space length
$ m$   kg   Mass
$ \widetilde{M}_\mathrm{OP}$   eV/Å   Reduced matrix elements of electron-optical-phonon interaction
$ \widetilde{M}_\mathrm{AP}$   eV   Reduced matrix elements of electron-acoustic-phonon interaction
$ n_\mathrm{B}$   1   Bose-EINSTEIN distribution function
$ n_\mathrm{F}$   1   FERMI-DIRAC distribution function
$ n$   m$ ^{-1}$   Electron concentration
$ p$   m$ ^{-1}$   Hole concentration
$ \ensuremath {N_\mathrm{D}}$   m$ ^{-1}$   Concentration of donors
$ \ensuremath {N_\mathrm{A}}$   m$ ^{-1}$   Concentration of acceptors
$ \mathbf{r}$   m   Space vector
$ \varrho$   m$ ^{-1}$   Carrier concentration
$ t$   s   Time
$ T$   K   Temperature
$ U$   eV   Potential energy
$ V_\mathrm{GS}$   V   Gate-source voltage
$ V_\mathrm{DS}$   V   Drain-source voltage

M. Pourfath: Numerical Study of Quantum Transport in Carbon Nanotube-Based Transistors