Electronic dynamics in chains with Ornstein–Uhlenbeck correlated disorder

J. L. S. Soares, R. D. dos Santos, F. J. S. Sousa, M. O. Sales and F. A. B. F. Moura
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J. L. S. Soares: Instituto de Fsica, Universidade Federal de Alagoas, Macei, AL, 57072-970, Brazil
R. D. dos Santos: #x2020;IFMA Campus São João dos Patos, rua Padre Santiago, s/n, Centro, São João dos Patos-MA, 65665-000, Brazil
F. J. S. Sousa: #x2020;IFMA Campus São João dos Patos, rua Padre Santiago, s/n, Centro, São João dos Patos-MA, 65665-000, Brazil
M. O. Sales: #x2020;IFMA Campus São João dos Patos, rua Padre Santiago, s/n, Centro, São João dos Patos-MA, 65665-000, Brazil
F. A. B. F. Moura: Instituto de Fsica, Universidade Federal de Alagoas, Macei, AL, 57072-970, Brazil

International Journal of Modern Physics C (IJMPC), 2020, vol. 31, issue 12, 1-7

Abstract: In this paper, we present a detailed study of the electronic dynamics in systems with correlated disorder generated from the Ornstein–Uhlenbeck process (OU). In short, we used numeric methods for solving the time-dependent Schrödinger equation. We apply a Taylor’s expansion of the evolution operator in order to solve the differential equation. We calculate some typical tools, such as the participation function ξ(t), the mean square displacement σ(t) and the probability of return R(t). In our analysis, we show that for low correlations the system behaves as in the standard Anderson model (i.e. all eigenstates are localized). For strong correlations, our results suggest the existence of a quasi-ballistic dynamics.

Keywords: Correlated disorder; localization; dynamics (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1142/S0129183120501764

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