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Nonuniversality of Anderson Localization in Short-Range Correlated Disorder.

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Nonuniversality of Anderson Localization in Short-Range Correlated Disorder. / Titov, M.; Schomerus, Henning.
In: Physical review letters, Vol. 95, No. 12, 09.2005, p. 126602.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Titov M, Schomerus H. Nonuniversality of Anderson Localization in Short-Range Correlated Disorder. Physical review letters. 2005 Sept;95(12):126602. doi: 10.1103/PhysRevLett.95.126602

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Titov, M. ; Schomerus, Henning. / Nonuniversality of Anderson Localization in Short-Range Correlated Disorder. In: Physical review letters. 2005 ; Vol. 95, No. 12. pp. 126602.

Bibtex

@article{fc83eed620884a809d41f58e918cbe65,
title = "Nonuniversality of Anderson Localization in Short-Range Correlated Disorder.",
abstract = "We provide an analytic theory of Anderson localization on a lattice with a weak short-range correlated disordered potential. Contrary to the general belief, we demonstrate that already next-neighbor statistical correlations in the potential can give rise to strong anomalies in the localization length and the density of states, and to the complete violation of single-parameter scaling. Such anomalies originate in additional symmetries of the lattice model in the limit of weak disorder. The results of numerical simulations are in full agreement with our theory, with no adjustable parameters.",
author = "M. Titov and Henning Schomerus",
year = "2005",
month = sep,
doi = "10.1103/PhysRevLett.95.126602",
language = "English",
volume = "95",
pages = "126602",
journal = "Physical review letters",
issn = "1079-7114",
publisher = "American Physical Society",
number = "12",

}

RIS

TY - JOUR

T1 - Nonuniversality of Anderson Localization in Short-Range Correlated Disorder.

AU - Titov, M.

AU - Schomerus, Henning

PY - 2005/9

Y1 - 2005/9

N2 - We provide an analytic theory of Anderson localization on a lattice with a weak short-range correlated disordered potential. Contrary to the general belief, we demonstrate that already next-neighbor statistical correlations in the potential can give rise to strong anomalies in the localization length and the density of states, and to the complete violation of single-parameter scaling. Such anomalies originate in additional symmetries of the lattice model in the limit of weak disorder. The results of numerical simulations are in full agreement with our theory, with no adjustable parameters.

AB - We provide an analytic theory of Anderson localization on a lattice with a weak short-range correlated disordered potential. Contrary to the general belief, we demonstrate that already next-neighbor statistical correlations in the potential can give rise to strong anomalies in the localization length and the density of states, and to the complete violation of single-parameter scaling. Such anomalies originate in additional symmetries of the lattice model in the limit of weak disorder. The results of numerical simulations are in full agreement with our theory, with no adjustable parameters.

U2 - 10.1103/PhysRevLett.95.126602

DO - 10.1103/PhysRevLett.95.126602

M3 - Journal article

VL - 95

SP - 126602

JO - Physical review letters

JF - Physical review letters

SN - 1079-7114

IS - 12

ER -