Quantum Transport: Atom to Transistor

| q | electronic charge | 1.602 10 ?19 C |
| h | Planck constant | 6.626 10 ?34 Js |
| ? | h/2 ? | 1.055 10 ?34 Js |
| m | free electron mass | 9.11 10 ?31 kg |
| ? 0 | permittivity of free space | 8.854 10 ?12 F/m |
| a 0 | Bohr radius, 4 ? ? 0 ? 2/ mq 2 | 0.0529 nm |
| G 0 = q 2/ h | conductance quantum | 38.7 10 ?6 S (S = 1/ ? = A/V) = 1/(25.8 10 3 ?) |
We will use rationalized MKS units throughout the book, with energy in electron-volts: 1 eV = 1.602 10 ?19 J.
| E 0 | q 2/8 ? ? 0 a 0 | 13.6 eV |
| Units | ||
| I | current (external) | amperes (A) |
| J | current (internal) | amperes (A) |
| V | voltage | volts (V) |
| R | resistance | ohms ( ? = V/A) |
| G | conductance | siemens (S = A/V) |
| a | lattice constant | meters (m) |
| t 0 | ? 2/2 m* a 2 | electron-volts (eV) |
| t | time | seconds (s) |
| m* | effective mass | kilograms (kg) |
| m c | conduction band effective mass | kilograms (kg) |
| ? 1, 2, 3 | Luttinger parameters | dimensionless |
| ? r | relative permittivity | dimensionless |
| | electric field | V/m |
| L | channel length | m |
| S | cross-sectional area | m 2 |
| | wavevector | /m |
| | velocity | m/s |
| n S | electron density per unit area | /m 2 |
| n L | electron density per unit length | /m |
| N | number of... |