We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. Starting from a kinetic model, based on spinorial Wigner functions, the derivation of the fluid model is based on the minimum entropy principle, which is exploited to close the moment system deduced from the Wigner equation. To this aim we make two main approximations: the usual semiclassical approximation (h << 1) and a new one, namely, the 'strongly mixed state' approximation, which allow to compute the closure explicitly. Particular solutions of the fluid-dynamic equations are discussed which are of physical interest because of their connection with the Klein paradox phenomenon.

Quantum electronic transport in graphene: a kinetic and fluid-dynamic approach / N. Zamponi; L. Barletti. - In: MATHEMATICAL METHODS IN THE APPLIED SCIENCES. - ISSN 0170-4214. - STAMPA. - 34:(2011), pp. 807-818. [10.1002/mma.1403]

Quantum electronic transport in graphene: a kinetic and fluid-dynamic approach

ZAMPONI, NICOLA;BARLETTI, LUIGI
2011

Abstract

We derive a fluid-dynamic model for electron transport near a Dirac point in graphene. Starting from a kinetic model, based on spinorial Wigner functions, the derivation of the fluid model is based on the minimum entropy principle, which is exploited to close the moment system deduced from the Wigner equation. To this aim we make two main approximations: the usual semiclassical approximation (h << 1) and a new one, namely, the 'strongly mixed state' approximation, which allow to compute the closure explicitly. Particular solutions of the fluid-dynamic equations are discussed which are of physical interest because of their connection with the Klein paradox phenomenon.
2011
34
807
818
N. Zamponi; L. Barletti
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/394743
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