In this letter, we shall present a generalization to quantum transport of the self-scattering technique commonly used in semi-classical transport simulations. The proposed Quantum Monte Carlo method originates from a perturbative expansion of the Liouville-von Neumann equation. Following the lines of Chambers' approach to semi-classical transport, an approximate imaginary self-energy hBAR/tau-0 is introduced which plays a role analogous to that of the maximum scattering rate in the traditional Monte Carlo method. At each perturbative order, the exact correction to 1/tau-0 is evaluated. The corresponding Monte Carlo algorithm for the study of quantum transport results to be very similar to the traditional one: by means of this <<quantum self-scattering>> technique, we again deal with the generation of <<free flights>> and <<interaction processes>>, as in the semi-classical case. In particular, these similarities are found to be very useful for the analysis of quantum phenomena which give rise to deviations from semi-classical results.
Self-Scattering in Monte Carlo Simulation of Quantum Transport / Rossi, Fausto; Jacoboni, C.. - In: EUROPHYSICS LETTERS. - ISSN 0295-5075. - 18:2BIS(1992), pp. 169-173. [10.1209/0295-5075/18/2/014]
|Titolo:||Self-Scattering in Monte Carlo Simulation of Quantum Transport|
|Data di pubblicazione:||1992|
|Digital Object Identifier (DOI):||http://dx.doi.org/10.1209/0295-5075/18/2/014|
|Appare nelle tipologie:||1.1 Articolo in rivista|
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