ABSTRACT. We derive semiclassical diffusive equations for the densities of electrons in the two energy bands of a semiconductor, as described by a k·p Hamiltonian. The derivation starts from a quantum kinetic (Wigner) description and resorts to the Chapman-Enskog method as well as to the quantum version of the minimum entropy principle. Four different regimes are investigated, according to different scalings of the k·p band-coupling and band-gap parameters with respect to the scaled Planck constant. Keywords: Quantum drift-diffusion · k·p model · Quantum entropy principle

Diffusive limit of the two-band k.p model for semiconductors / L. BARLETTI; G. FROSALI. - In: JOURNAL OF STATISTICAL PHYSICS. - ISSN 0022-4715. - STAMPA. - 139:(2010), pp. 280-306. [10.1007/s10955-010-9940-9]

Diffusive limit of the two-band k.p model for semiconductors

BARLETTI, LUIGI;FROSALI, GIOVANNI
2010

Abstract

ABSTRACT. We derive semiclassical diffusive equations for the densities of electrons in the two energy bands of a semiconductor, as described by a k·p Hamiltonian. The derivation starts from a quantum kinetic (Wigner) description and resorts to the Chapman-Enskog method as well as to the quantum version of the minimum entropy principle. Four different regimes are investigated, according to different scalings of the k·p band-coupling and band-gap parameters with respect to the scaled Planck constant. Keywords: Quantum drift-diffusion · k·p model · Quantum entropy principle
139
280
306
L. BARLETTI; G. FROSALI
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2158/373655
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