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Coherent electron dynamics in a two-dimensional random system with mobility edges

2007/01/10 by F. A. B. F. de Moura, M. L. Lyra, F. Domínguez‐Adame +3
Mathematics · Physics and Astronomy · #Amplitude #Bloch oscillations #Condensed matter physics #Delocalized electron #Diagonal #Electric field #Electron #Lattice (music) #Mathematics #Physics #Quantum and electron transport phenomena #Quantum mechanics #Semiconductor Quantum Structures and Devices #Spectroscopy and Quantum Chemical Studies #Statistical physics #Wave packet #cond-mat.dis-nn

paper · pdf · doi:10.1088/0953-8984/19/5/056204

published as J. Phys.: Condens. Matter 19, 056204 (2007) · 8 pages, 4 figures, to appear in J. Phys.: Condens. Matter

arxiv created 2007/01/10 · openalex publication_date 2007/01/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study numerically the dynamics of a one-electron wavepacket in a two-dimensional random lattice with long-range correlated diagonal disorder in the presence of a uniform electric field. The time-dependent Schrödinger equation is used for this purpose. We find that the wavepacket displays Bloch-like oscillations associated with the appearance of a phase of delocalized states in the strong correlation regime. The amplitude of oscillations directly reflects the bandwidth of the phase and allows us to measure it. The oscillations reveal two main frequencies whose values are determined by the structure of the underlying potential in the vicinity of the wavepacket maximum.

Citations