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VLSI Design
Volume 8 (1998), Issue 1-4, Pages 197-202

A Generalized Monte Carlo Approach for the Analysis of Quantum-Transport Phenomena in Mesoscopic Systems: Interplay Between Coherence and Relaxation

1Istituto Nazionale Fisica della Materia (INFM) and Dipartimento di Fisica, Universitá di Modena, Modena I-41100, Italy
2INFM and Dipartimento di Ingegneria Elettroniea, Università di Roma “;Tor Vergata”, Roma I-00133, Italy

Copyright © 1998 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


A theoretical investigation of quantum-transport phenomena in mesoscopic systems is presented. In particular, a generalization to “open systems” of the well-known Semiconductor Bloch equations is proposed. Compared to the conventional Bloch theory, the presence of spatial boundary conditions manifest itself through self-energy corrections and additional source terms in the kinetic equations, which are solved by means of a generalized Monte Carlo simulation.The proposed numerical approach is applied to the study of the scattering-induced suppression of Bloch oscillations in semiconductor superlattices as well as to the analysis of quantum-transport phenomena in double-barrier structures.