A benchmark study of the Wigner Monte Carlo method

The Wigner equation is a promising full quantum model for the simulation of nanodevices. It is also a challenging numerical problem. Two basic Monte Carlo approaches to this model exist exploiting, in the time-dependent case, the so-called particle affinity and, in the stationary case, integer parti...

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Bibliographic Details
Published inMonte Carlo methods and applications Vol. 20; no. 1; pp. 43 - 51
Main Authors Sellier, Jean Michel, Nedjalkov, Mihail, Dimov, Ivan, Selberherr, Siegfried
Format Journal Article
LanguageEnglish
Published Berlin Walter de Gruyter GmbH 01.03.2014
Subjects
45K05
65C05
81S30
Monte Carlo methods
quantum mechanics
Schrödinger equation
Wigner equation
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Summary:The Wigner equation is a promising full quantum model for the simulation of nanodevices. It is also a challenging numerical problem. Two basic Monte Carlo approaches to this model exist exploiting, in the time-dependent case, the so-called particle affinity and, in the stationary case, integer particle signs. In this paper we extend the second approach for time-dependent simulations and present a validation against a well-known benchmark model, the Schrödinger equation. Excellent quantitative agreement is demonstrated by the compared results despite the very different numerical properties of the utilized stochastic and deterministic approaches.
ISSN:0929-9629
1569-3961
DOI:10.1515/mcma-2013-0018