Low Temperature Physics: 43, 284 (2017); https://doi.org/10.1063/1.4976635
Физика Низких Температур: Том 43, Выпуск 2 (Февраль 2017), c. 347-352    ( к оглавлению , назад )

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

I.F. Herrera-González1, F.M. Izrailev1, N.M. Makarov2, and L. Tessieri3

1Instituto de Fisica, Benemérita Universidad Autónoma de Puebla, Apartado Postal J-48, Puebla 72570, México

2Instituto de Ciencias, Benemérita Universidad Autónoma de Puebla, Edificio IC10, Ciudad Universitaria, Col. San Manuel, Puebla, Pue. 72570, México
E-mail: makarov.n@gmail.com

3Instituto de Fisica, y Matemáticas, Universidad Michoacana de San Nicolás de Hidalgo, Morelia 58060, México

Received 27 August, 2016


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.

PACS: 71.23.An Theories and models; localized states;
PACS: 72.15.Rn Localization effects (Anderson or weak localization);
PACS: 05.40.–a Fluctuation phenomena, random processes, noise, and Brownian motion;
PACS: 42.25.Dd Wave propagation in random media.

Ключевые слова: Anderson localization, band-center anomaly.

Published online: December 26, 2016