scholarly journals Application of the Wigner-Function Formulation to Mesoscopic Systems in Presence of Electron-Phonon Interaction

VLSI Design ◽  
1998 ◽  
Vol 8 (1-4) ◽  
pp. 185-190 ◽  
Author(s):  
C. Jacoboni ◽  
A. Abramo ◽  
P. Bordone ◽  
R. Brunetti ◽  
M. Pascoli

A theoretical and computational analysis of the quantum dynamics of charge carriers in presence of electron-phonon interaction based on the Wigner function is here applied to the study of transport in mesoscopic systems. Numerical applications are shown for a) a wave packet scattering with phonons while crossing a potential profile and b) electrons scattering with phonons in a finite device with open boundary conditions.

2007 ◽  
Vol 17 (03) ◽  
pp. 475-484
Author(s):  
HANS KOSINA

Coherent transport in mesoscopic devices is well described by the Schrödinger equation supplemented by open boundary conditions. When electronic devices are operated at room temperature, however, a realistic transport model needs to include carrier scattering. In this work the kinetic equation for the Wigner function is employed as a model for dissipative quantum transport. Carrier scattering is treated in an approximate manner through a Boltzmann collision operator. A Monte Carlo technique for the solution of this kinetic equation has been developed, based on an interpretation of the Wigner potential operator as a generation term for numerical particles. Including a multi-valley semiconductor model and a self-consistent iteration scheme, the described Monte Carlo simulator can be used for routine device simulations. Applications to single barrier and double barrier structures are presented. The limitations of the numerical Wigner function approach are discussed.


1997 ◽  
Vol 204 (1) ◽  
pp. 303-305 ◽  
Author(s):  
P. Bordone ◽  
A. Abramo ◽  
R. Brunetti ◽  
M. Pascoli ◽  
C. Jacoboni

2018 ◽  
Vol 30 (12) ◽  
pp. 3-16
Author(s):  
A. Berezin ◽  
◽  
Yu. Volkov ◽  
M. Markov ◽  
I. Tarakanov ◽  
...  

1989 ◽  
Vol 162 (3) ◽  
pp. 217-220 ◽  
Author(s):  
S. Saikan ◽  
A. Imaoka ◽  
Y. Kanematsu ◽  
T. Kishida

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