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VLSI Design
Volume 13 (2001), Issue 1-4, Pages 375-380
http://dx.doi.org/10.1155/2001/42430

Dynamical Equation and Monte Carlo Simulation of the Two-time Wigner Function for Electron Quantum Transport

Istituto Nazionale per la Fisica della Materia, Dipartimento di Fisica, Universita' di Modena e Reggio Emilia, via Campi 213/A, Modena 1-41100, Italy

Copyright © 2001 Hindawi Publishing Corporation.

Abstract

Within the Wigner-function formalism for electron quantum transport in semiconductors a two-time Wigner function is defined starting from the Green-function formalism. After a proper Fourier transform a Wigner function depending on p and w as independent variables is obtained. This new Wigner function extends the Wigner formalism to the frequency domain and carries information related to the spectral density of the system. A Monte Carlo approach based on the generation of Wigner paths, already developed for the single-time Wigner function, has been extended to evaluate the momentum and energy-dependent Wigner function. Results will be shown for electrons subject to the action of an external field and in presence of scattering with optical phonons.