A benchmark study of the Wigner Monte Carlo method

Sellier Jean Michel (), Nedjalkov Mihail (), Dimov Ivan () and Selberherr Siegfried ()
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Sellier Jean Michel: IICT, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. 25A, 1113 Sofia, Bulgaria
Nedjalkov Mihail: Institute for Microelectronics, TU Wien, Gußhausstraße 27–29/E360, 1040 Wien, Austria
Dimov Ivan: IICT, Bulgarian Academy of Sciences, Acad. G. Bonchev Str. 25A, 1113 Sofia, Bulgaria
Selberherr Siegfried: Institute for Microelectronics, TU Wien, Gußhausstraße 27–29/E360, 1040 Wien, Austria

Monte Carlo Methods and Applications, 2014, vol. 20, issue 1, 43-51

Abstract: 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.

Keywords: Wigner equation; Monte Carlo methods; quantum mechanics; Schrödinger equation (search for similar items in EconPapers)
Date: 2014
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Citations: View citations in EconPapers (2)

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DOI: 10.1515/mcma-2013-0018

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