In this work we present a one-dimensional model of quantum electron transport in semiconductors that makes use of the Wigner function formalism and that takes into account the full band structure of the medium for energy bands of any shape. We introduce a multi-band Wigner function and derive the evolution equations for each component, with and without external fields, by using a Bloch states representation of the density matrix.
Wigner function for multiband transport in semiconductors / L. DEMEIO; L. BARLETTI; P. BORDONE; C. JACOBONI. - In: TRANSPORT THEORY AND STATISTICAL PHYSICS. - ISSN 0041-1450. - STAMPA. - 32(3/4):(2003), pp. 307-325. [10.1081/TT-120024766]
Wigner function for multiband transport in semiconductors
BARLETTI, LUIGI;
2003
Abstract
In this work we present a one-dimensional model of quantum electron transport in semiconductors that makes use of the Wigner function formalism and that takes into account the full band structure of the medium for energy bands of any shape. We introduce a multi-band Wigner function and derive the evolution equations for each component, with and without external fields, by using a Bloch states representation of the density matrix.
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