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

Szydłowski, Dominik; Wołoszyn, M.; Spisak, B. J.

doi:10.1088/0268-1242/28/10/105022

Cited by 8 publications

(4 citation statements)

References 55 publications

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“…¶ For numerical purposes a finite coherence length has been sometimes introduced in the potential term of the WF, see e.g. [30,31]. some coherence between two points at distance s. If a stationary system is considered, and we limit ourself to a single extended eigenstate ψ(x), the coherence length extends to infinity and the WF becomes an improper function.…”

Section: Finite Coherence Lengthmentioning

confidence: 99%

Wigner transport equation with finite coherence length

Jacoboni

Bordone

2013

J Comput Electron

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The use of the Wigner function for the study of\ud quantum transport in open systems is subject to severe criticisms.\ud Some of the problems arise from the assumption of\ud infinite coherence length of the electron dynamics outside\ud the system of interest. In the present work the theory of\ud the Wigner function is revised assuming a finite coherence\ud length. A new dynamical equation is found, corresponding\ud to move the Wigner momentum off the real axis, and a numerical\ud analysis is performed for the case of study of the\ud one-dimensional potential barrier. In quantum device simulations,\ud for a sufficiently long coherence length, the new formulation\ud does not modify the physics in any finite region of\ud interest but it prevents mathematical divergence problems

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Section: Finite Coherence Lengthmentioning

confidence: 99%

Wigner transport equation with finite coherence length

Jacoboni

Bordone

2013

J Comput Electron

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“…represent the time-dependent probability densities in terms of position and momentum, respectively. In contrast to the classical distribution functions the WDF can take negative values in some regions of the phasespace [14]. The negativity of the WDF is the reason for the non-classical character of this distribution function [15].…”

Section: Phase-space Representation Of Quantum State and Its Dynamicsmentioning

confidence: 95%

Dynamical localisation of conduction electrons in one-dimensional disordered systems

2015

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The phase-space approach based on the Wigner distribution function is applied to the description of dynamics of conduction electrons in finite one-dimensional systems with randomly distributed scattering centres. It is shown that the coherent multiple scattering of the carriers in the disordered environment leads to the slowdown of its dynamics due to the weak localisation. This quantum phenomenon can be treated as a source of the subdiffusion of the quantum particles.

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“…In the classical limit, the Wigner function can be approximated by the classical distribution function f (x, p, t) according to the formula [4]:…”

Section: Theory and Model Of The Systemmentioning

confidence: 99%