Dynamical Equation and Monte Carlo Simulation of the Two-time Wigner Function for Electron Quantum Transport. Issue 1 (2001)

• Record Type: Journal Article
• Authors: Brunetti, R.; Bertoni, A.; Bordone, P.; Jacoboni, C.
• Is Part Of: VLSI design. Volume 13:Issue 1/4(2001)
• Page Start: 375
• Page End: 380
• Publication Date: 2001
• Subjects: Two-time Wigner function -- Wigner paths -- Quantum transport -- Quantum Monte Carlo procedure; Integrated circuits -- Very large scale integration -- Periodicals; 621.395
• DOI: 10.1155/2001/42430
• Languages: English
• ISSNs: 1065-514X

Abstract

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.