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Licensed Unlicensed Requires Authentication Published by De Gruyter February 18, 2014

A benchmark study of the Wigner Monte Carlo method

Jean Michel Sellier, Mihail Nedjalkov, Ivan Dimov and Siegfried Selberherr


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.

Funding source: AComIn

Award Identifier / Grant number: FP7-REGPOT-2012-2013-1

Funding source: Bulgarian NSF

Award Identifier / Grant number: SuperCA++

Funding source: Austrian Science Fund Project

Award Identifier / Grant number: FWF-P21685-N22

Received: 2013-07-26
Accepted: 2014-02-14
Published Online: 2014-02-18
Published in Print: 2014-03-01

© 2014 by Walter de Gruyter Berlin/Boston

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