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Bloch-Like Oscillations in a One-Dimensional Lattice with Long-Range Correlated Disorder

2003/09/30 by F. Domínguez‐Adame, F. Domínguez-Adame, В. А. Малышев +3 · 97 citations
Engineering · Physics and Astronomy · #Bloch oscillations #Condensed matter physics #Delocalized electron #Diagonal #Electron #Gaussian #Lattice (music) #Physics #Quantum and electron transport phenomena #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Terahertz technology and applications #cond-mat.dis-nn

paper · pdf · doi:10.1103/physrevlett.91.197402

published in Physical Review Letters 91(19), 197402 (American Physical Society) · 4 pages, 5 figures

openalex publication_date 2003/11/06 · arxiv created 2004/02/05 · arxiv updated 2016/08/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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) approximately 1/k(alpha) with alpha>0. de Moura and Lyra [Phys. Rev. Lett. 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 alpha>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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