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Dynamical Equation and Monte Carlo Simulationof the Two‐time Wigner Function for ElectronQuantum Transport

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.

Wiley

R. Brunetti A. Bertoni P. Bordone C. Jacoboni

VLSI Design

2007

Title: Dynamical Equation and Monte Carlo Simulationof the Two‐time Wigner Function for ElectronQuantum Transport

Description:

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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Dynamical Equation and Monte Carlo Simulationof the Two‐time Wigner Function for ElectronQuantum Transport

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