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

R. Brunetti | Zendy; Andrea Bertoni | Zendy; Paolo Bordone | Zendy; Carlo Jacoboni | Zendy

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

Author(s) -

R. Brunetti,

Andrea Bertoni,

Paolo Bordone,

Carlo Jacoboni

Publication year - 2001

Publication title -

vlsi design

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.123

H-Index - 24

eISSN - 1065-514X

pISSN - 1026-7123

DOI - 10.1155/2001/42430

Subject(s) - wigner distribution function , physics , quantum mechanics , fourier transform , monte carlo method , quantum monte carlo , statistical physics , formalism (music) , electron , quantum , mathematics , art , musical , statistics , visual arts

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.

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