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Bloch-like oscillations in a one-dimensional lattice with long-range correlated disorder

F. Domínguez-Adame·V. A. Malyshev·F. A. B. F. de Moura·M. L. Lyra
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Abstract

We study the dynamics of an electron subjected to a uniform electric field within a tight-binding model with long-range-correlated diagonal disorder. The random distribution of site energies is assumed to have a power spectrum $S(k) \sim 1/k^α$ with $α> 0$. Moura and Lyra [Phys. Rev. Lett. {\bf 81}, 3735 (1998)] predicted that this model supports a phase of delocalized states at the band center, separated from localized states by two mobility edges, provided $α> 2$. We find clear signatures of Bloch-like oscillations of an initial Gaussian wave packet between the two mobility edges and determine the bandwidth of extended states, in perfect agreement with the zero-field prediction.

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F. Domínguez-Adame, V. A. Malyshev, F. A. B. F. de Moura, M. L. Lyra. 2004-02-05. Bloch-like oscillations in a one-dimensional lattice with long-range correlated disorder. https://doi.org/10.1103/physrevlett.91.197402

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