Simulation of two and three-dimensional disordered systems: Lifshitz tails and localization properties

Hans De Raedt; Pedro de Vries

doi:10.1007/BF01313668

Simulation of two and three-dimensional disordered systems: Lifshitz tails and localization properties

Hans De Raedt, Pedro de Vries

Zernike Institute for Advanced Materials

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Abstract

Very large two and three-dimensional realizations of the Anderson model for localization are studied by solving the time-dependent Schrödinger equation. The density of states is calculated and Lifshitz tails extracted. Eigenstates at various energies are computed and analyzed. The localization length is determined as a function of the strength of the disorder and energy. For moderate disorder substantial deviations from results obtained by the strip-and-rod technique are found.

Original language	English
Number of pages	9
Journal	Zeitschrift für Physik. B: Condensed Matter
Volume	77
Issue number	2
DOIs	https://doi.org/10.1007/BF01313668
Publication status	Published - 1989

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title = "Simulation of two and three-dimensional disordered systems: Lifshitz tails and localization properties",

abstract = "Very large two and three-dimensional realizations of the Anderson model for localization are studied by solving the time-dependent Schr{\"o}dinger equation. The density of states is calculated and Lifshitz tails extracted. Eigenstates at various energies are computed and analyzed. The localization length is determined as a function of the strength of the disorder and energy. For moderate disorder substantial deviations from results obtained by the strip-and-rod technique are found.",

author = "Raedt, {Hans De} and Vries, {Pedro de}",

note = "Relation: http://www.rug.nl/zernike/ date_submitted:2007 Rights: University of Groningen. Zernike Institute for Advanced Materials",

year = "1989",

doi = "10.1007/BF01313668",

language = "English",

volume = "77",

journal = "Zeitschrift f{\"u}r Physik. B: Condensed Matter",

issn = "1431-584X",

number = "2",

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TY - JOUR

T1 - Simulation of two and three-dimensional disordered systems

T2 - Lifshitz tails and localization properties

AU - Raedt, Hans De

AU - Vries, Pedro de

N1 - Relation: http://www.rug.nl/zernike/ date_submitted:2007 Rights: University of Groningen. Zernike Institute for Advanced Materials

PY - 1989

Y1 - 1989

N2 - Very large two and three-dimensional realizations of the Anderson model for localization are studied by solving the time-dependent Schrödinger equation. The density of states is calculated and Lifshitz tails extracted. Eigenstates at various energies are computed and analyzed. The localization length is determined as a function of the strength of the disorder and energy. For moderate disorder substantial deviations from results obtained by the strip-and-rod technique are found.

AB - Very large two and three-dimensional realizations of the Anderson model for localization are studied by solving the time-dependent Schrödinger equation. The density of states is calculated and Lifshitz tails extracted. Eigenstates at various energies are computed and analyzed. The localization length is determined as a function of the strength of the disorder and energy. For moderate disorder substantial deviations from results obtained by the strip-and-rod technique are found.

U2 - 10.1007/BF01313668

DO - 10.1007/BF01313668

M3 - Article

SN - 1431-584X

VL - 77

JO - Zeitschrift für Physik. B: Condensed Matter

JF - Zeitschrift für Physik. B: Condensed Matter

IS - 2

ER -

Simulation of two and three-dimensional disordered systems: Lifshitz tails and localization properties

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