1D Anderson model revisited: Band center anomaly for correlated disorder

We study the band-center anomaly in the one-dimensional Anderson model with the disorder characterized by short-range positive correlations. Using the Hamiltonian map approach, we obtain analytical expressions for the localization length and the invariant measure of the phase variable. The analytica...

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Published in:Физика низких температур
Date:2017
Main Authors: Herrera-González, I.F., Izrailev, F.M., Makarov, N.M., Tessieri, L.
Format: Article
Language:English
Published: Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України 2017
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Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/129379
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:1D Anderson model revisited: Band center anomaly for correlated disorder / I.F. Herrera-González, F.M. Izrailev, N.M. Makarov, L. Tessieri // Физика низких температур. — 2017. — Т. 43, № 2. — С. 347-352. — Бібліогр.: 20 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Herrera-González, I.F.
Izrailev, F.M.
Makarov, N.M.
Tessieri, L.
author_facet Herrera-González, I.F.
Izrailev, F.M.
Makarov, N.M.
Tessieri, L.
citation_txt 1D Anderson model revisited: Band center anomaly for correlated disorder / I.F. Herrera-González, F.M. Izrailev, N.M. Makarov, L. Tessieri // Физика низких температур. — 2017. — Т. 43, № 2. — С. 347-352. — Бібліогр.: 20 назв. — англ.
collection DSpace DC
container_title Физика низких температур
description We study the band-center anomaly in the one-dimensional Anderson model with the disorder characterized by short-range positive correlations. Using the Hamiltonian map approach, we obtain analytical expressions for the localization length and the invariant measure of the phase variable. The analytical expressions are complemented by numerical data.
first_indexed 2025-12-07T18:49:50Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-12-07T18:49:50Z
publishDate 2017
publisher Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
record_format dspace
spelling Herrera-González, I.F.
Izrailev, F.M.
Makarov, N.M.
Tessieri, L.
2018-01-19T14:25:54Z
2018-01-19T14:25:54Z
2017
1D Anderson model revisited: Band center anomaly for correlated disorder / I.F. Herrera-González, F.M. Izrailev, N.M. Makarov, L. Tessieri // Физика низких температур. — 2017. — Т. 43, № 2. — С. 347-352. — Бібліогр.: 20 назв. — англ.
0132-6414
PACS: 71.23.An, 72.15.Rn, 05.40.–a, 42.25.Dd
https://nasplib.isofts.kiev.ua/handle/123456789/129379
We study the band-center anomaly in the one-dimensional Anderson model with the disorder characterized by short-range positive correlations. Using the Hamiltonian map approach, we obtain analytical expressions for the localization length and the invariant measure of the phase variable. The analytical expressions are complemented by numerical data.
I. F. H.-G., F. M. I. and N.M.M. acknowledge support
 from the CONACYT (México) under grant No. CB-2011-
 01-166382. L. T. acknowledges the support of CICUMSNH
 grant for the years 2016-2017.
en
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
Физика низких температур
К 100-летию со дня рождения И.М. Лифшица
1D Anderson model revisited: Band center anomaly for correlated disorder
Article
published earlier
spellingShingle 1D Anderson model revisited: Band center anomaly for correlated disorder
Herrera-González, I.F.
Izrailev, F.M.
Makarov, N.M.
Tessieri, L.
К 100-летию со дня рождения И.М. Лифшица
title 1D Anderson model revisited: Band center anomaly for correlated disorder
title_full 1D Anderson model revisited: Band center anomaly for correlated disorder
title_fullStr 1D Anderson model revisited: Band center anomaly for correlated disorder
title_full_unstemmed 1D Anderson model revisited: Band center anomaly for correlated disorder
title_short 1D Anderson model revisited: Band center anomaly for correlated disorder
title_sort 1d anderson model revisited: band center anomaly for correlated disorder
topic К 100-летию со дня рождения И.М. Лифшица
topic_facet К 100-летию со дня рождения И.М. Лифшица
url https://nasplib.isofts.kiev.ua/handle/123456789/129379
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