Dynamical equation and Monte Carlo simulation of the two-time Wigner function for electron quantum transport

2002 ◽  
Author(s):  
R. Brunetti ◽  
A. Bertoni ◽  
P. Bordone ◽  
C. Jacoboni
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Wigner Function ◽  
Quantum Transport ◽  
Dynamical Equation ◽  
Electron Quantum

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

VLSI Design ◽  
2001 ◽  
Vol 13 (1-4) ◽  
pp. 375-380
Author(s):  
R. Brunetti ◽  
A. Bertoni ◽  
P. Bordone ◽  
C. Jacoboni
Keyword(s):  
Monte Carlo ◽  
Wigner Function ◽  
Quantum Transport ◽  
Dynamical Equation ◽  
Independent Variables ◽  
System A ◽  
Function Formalism ◽  
Electron Quantum ◽  
The Green Function ◽  
Energy Dependent

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.

QUANTUM TRANSPORT AND ITS SIMULATION WITH THE WIGNER-FUNCTION APPROACH

2001 ◽  
Vol 11 (02) ◽  
pp. 387-423 ◽  
Author(s):  
CARLO JACOBONI ◽  
ROSSELLA BRUNETTI ◽  
PAOLO BORDONE ◽  
ANDREA BERTONI
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Green Function ◽  
Transport Equation ◽  
Wigner Function ◽  
Quantum Transport ◽  
Dynamical Equation ◽  
Phonon Scattering ◽  
Quantum Effects ◽  
Function Approach

In this paper a review of the research performed in recent years by the group of the authors is presented. The definition and basic properties of the Wigner function are first given. Several forms of its dynamical equation are then derived with the inclusion of potential and phonon scattering. For the case of a potential V(r) the effect of the classical force, for any form of V(r), is separated from quantum effects due to rapidly varying potentials. An elaboration of the dynamical equation is introduced that leads to Wigner paths formed by free flights and scattering events. These are especially suitable for a Monte Carlo solution of the transport equation for the Wigner function very similar to the semiclassical traditional Monte carlo simulation. The Monte Carlo simulation can be extended also to the momentum and frequency dependent Wigner function based on a two-time Green function. Several numerical results are presented throuhout the paper.

Particle Monte Carlo simulation of Wigner function tunneling

2001 ◽  
Vol 285 (3-4) ◽  
pp. 217-221 ◽  
Author(s):  
L. Shifren ◽  
D.K. Ferry
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Wigner Function

Wigner Monte Carlo Simulation of CNTFET: Comparison Between Semi-Classical and Quantum Transport

2009 ◽  
Author(s):  
Huu-Nha Nguyen ◽  
Damien Querlioz ◽  
Sylvie Galdin-Retailleau ◽  
Arnaud Bournel ◽  
Philippe Dollfus
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Quantum Transport

Quantum transport in ultra-scaled double-gate MOSFETs: A Wigner function-based Monte Carlo approach

2005 ◽  
Vol 49 (9) ◽  
pp. 1510-1515 ◽  
Author(s):  
V. Sverdlov ◽  
A. Gehring ◽  
H. Kosina ◽  
S. Selberherr
Keyword(s):  
Monte Carlo ◽  
Wigner Function ◽  
Quantum Transport ◽  
Double Gate ◽  
Monte Carlo Approach
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