An elementary aspect of the Weyl‐Wigner representation

Dahl, Jens Peder; Schleich, Wolfgang P.

doi:10.1002/prop.200310007

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Phase-space Description Of Electronic Transport1

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“…One of the advantages of using the phase-space methods based on the WDF is that one can easily calculate the expectation value of any Hermitian operator by averaging the WDF with the Weyl's form of the corresponding classical expression over the phase-space [48].…”

Section: Phase-space Description Of Electronic Transportmentioning

confidence: 99%

Phase-space description of wave packet approach to electronic transport in nanoscale systems

Szydłowski¹,

Wołoszyn²,

Spisak³

2013

Semicond. Sci. Technol.

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The dynamics of conduction electrons in resonant tunnelling nanosystems is studied within the phase-space approach based on the Wigner distribution function. The time evolution of the distribution function is calculated from the time-dependent quantum kinetic equation for which an effective numerical method is presented. Calculations of the transport properties of a double-barrier resonant tunnelling diode are performed to illustrate the proposed techniques. Additionally, analysis of the transient effects in the nanosystem is carried out and it is shown that for some range of the bias voltage the temporal variations of electronic current can take negative values. The explanation of this effect is based on the analysis of the time changes of the Wigner distribution function. The decay time of the temporal current oscillations in the nanosystem as a function of the bias voltage is determined.

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Section: Phase-space Description Of Electronic Transportmentioning

confidence: 99%