ABSTRACT. We present amathematical study of a two-band quantum kinetic transport model. The multiband model, derived in the envelope function theory, is designed to describe the dynamics in semiconductor devices when the interband conduction-valence transition cannot be neglected. The Wigner formulation consists of a four-by-four system, containing two effective mass Wigner equations (one for the electron in conduction band and one for the valence band) coupled by pseudo-differential operators arising from the electric field in the semiconductor. The existence and uniqueness of a solution to the initial value problem are proved in a L2-setting for sufficiently regular electric potentials. An extension of the single band splitting-scheme algorithm is presented to solve the one-dimensional system for a bounded domain. Finally, we show some numerical results concerning the simulation of an interband resonant diode. Keywords: Multiband transport, Wigner formulation, Interband resonant diode

A quantum kinetic approach for modeling a two-band resonant tunneling diode / G. FROSALI; O. MORANDI. - In: TRANSPORT THEORY AND STATISTICAL PHYSICS. - ISSN 0041-1450. - STAMPA. - 36:(2007), pp. 159-177. [10.1080/00411450701456907]

A quantum kinetic approach for modeling a two-band resonant tunneling diode

FROSALI, GIOVANNI;O. MORANDI
2007

Abstract

ABSTRACT. We present amathematical study of a two-band quantum kinetic transport model. The multiband model, derived in the envelope function theory, is designed to describe the dynamics in semiconductor devices when the interband conduction-valence transition cannot be neglected. The Wigner formulation consists of a four-by-four system, containing two effective mass Wigner equations (one for the electron in conduction band and one for the valence band) coupled by pseudo-differential operators arising from the electric field in the semiconductor. The existence and uniqueness of a solution to the initial value problem are proved in a L2-setting for sufficiently regular electric potentials. An extension of the single band splitting-scheme algorithm is presented to solve the one-dimensional system for a bounded domain. Finally, we show some numerical results concerning the simulation of an interband resonant diode. Keywords: Multiband transport, Wigner formulation, Interband resonant diode
2007
36
159
177
G. FROSALI; O. MORANDI
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Utilizza questo identificatore per citare o creare un link a questa risorsa: https://hdl.handle.net/2158/310647
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