In this article we study a simple model for describing the electron behavior in a heterogeneous material characterized by two energy bands. The model, the so-called Kane system, is composed of two Schrodinger-like equations coupled by a k - P term which describes the interband tunneling. We give a physical justification of the Kane system and reformulate it in terms of Wigner functions. The well-posedness of the corresponding Wigner system is investigated in a suitable Hilbert space.
Wigner approach to the two-band Kane model for a tunneling diode / G. FROSALI; G. BORGIOLI; P. ZWEIFEL. - In: TRANSPORT THEORY AND STATISTICAL PHYSICS. - ISSN 0041-1450. - STAMPA. - 32 (3-4):(2003), pp. 347-366. [10.1081/TT-120024768]
Wigner approach to the two-band Kane model for a tunneling diode
FROSALI, GIOVANNI;BORGIOLI, GIOVANNI;
2003
Abstract
In this article we study a simple model for describing the electron behavior in a heterogeneous material characterized by two energy bands. The model, the so-called Kane system, is composed of two Schrodinger-like equations coupled by a k - P term which describes the interband tunneling. We give a physical justification of the Kane system and reformulate it in terms of Wigner functions. The well-posedness of the corresponding Wigner system is investigated in a suitable Hilbert space.File | Dimensione | Formato | |
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