A unified theory of direct and indirect interband tunneling under a nonuniform electric field
| Autor: | Sumio Tanaka |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Physics
Condensed matter physics Perturbation (astronomy) Wannier equation Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Condensed Matter Physics WKB approximation Electronic Optical and Magnetic Materials Condensed Matter::Superconductivity Quantum electrodynamics Electric field Materials Chemistry Electrical and Electronic Engineering Coordinate space Wave function Unified field theory Quantum tunnelling |
| Zdroj: | Solid-State Electronics. 37:1543-1552 |
| ISSN: | 0038-1101 |
| Popis: | A theory of interband tunneling under a nonuniform electric field has been formulated for both direct and indirect transitions. The formulation starts from the Wannier equation, where the driving force of the transition is a non-diagonal interband matrix element. The Wannier equation is solved in real coordinate space to obtain unperturbed wave functions in the absence of the driving force. The unperturbed wave functions in the tunnel region are obtained by applying the WKB approximation, resulting in an integral form of the function of the electrostatic potential. The integral always exists independently of the complexity of the electrostatic potential. Thus, we always have unified tunneling probabilities for direct and indirect interband transitions by time dependent perturbation. General formulations for tunneling currents were obtained by integrating the probabilities over energy. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|