Quantum Theory of Electron Transport in Mesoscopic Systems.
Abstract
We have developed an approach for numerical Monte Carlo solution of the Wigner transport equation for a mesoscopic system. In particular the Wigner function formalism has been used to analyze the quantum dynamics of charge carriers in presence of electron-phonon interaction in open mesoscopic systems, making use of the perturbation theory with the external fields incorporated into the unperturbed Hamiltonian. Wigner trajectories have been identified both for the ballistic propagation and for the case in which electron-phonon scattering is included. An equation for the Wigner function in a finite region inside given boundaries, using suitable boundaries - conditions, has been derived. As a case of study a step potential profile has been considered. The current as a function of the step potential as obtained with the Wigner function corrected by the effect of an electron-phonon scattering process is presented. On the coherent transport standpoint, the role of the magnetic field on the conductance of wells has been investigated.
Document Details
- Document Type
- Technical Report
- Publication Date
- Sep 30, 1997
- Accession Number
- ADA331536
Entities
People
- Antonio Abramo
- Carlo Jacoboni
- Marco Pascoli
- Paolo Bordone