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VLSI Design
Volume 13 (2001), Issue 1-4, Pages 375-380

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. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.