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Absence of localization on the 2d model with long-range correlated off-diagonal disorder

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Abstract

We study the one-electron eigenstates in a two-dimensional (2d) Anderson model with long-range correlated off-diagonal disorder, generated by a 2d discrete Fourier method. The dynamics of an initially localized wave packet is investigated by numerically solving the 2d time-dependent Schrödinger equation. In additional the participation number and its scaling behavior was obtained through direct diagonalization. Our numerical data suggest that the system exhibits a ballistic dynamics in the strongly correlated disorder regime. Moreover, the scaling analysis of mean participation number around the band center also indicates the presence of extended states for high degree of correlations.

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Authors and Affiliations

  1. Instituto de Física, Universidade Federal de Alagoas, 57072-970, Maceió, AL, Brazil

    F.A.B.F. de Moura

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  1. F.A.B.F. de Moura
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Correspondence to F.A.B.F. de Moura.

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de Moura, F. Absence of localization on the 2d model with long-range correlated off-diagonal disorder. Eur. Phys. J. B 78, 335–339 (2010). https://doi.org/10.1140/epjb/e2010-10579-8

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