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

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

2007-01-10

arxiv.org/abs/cond-mat/0701202v1

J. Phys.: Condens. Matter 19, 056204 (2007)

Physics

Condensed Matter

Disordered Systems and Neural Networks

8 pages, 4 figures, to appear in J. Phys.: Condens. Matter

Scientific paper

10.1088/0953-8984/19/5/056204

We study numerically the dynamics of a one-electron wave packet in a two-dimensional random lattice with long-range correlated diagonal disorder in the presence of a uniform electric field. The time-dependent Schr\"{o}dinger equation is used for this purpose. We find that the wave packet 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 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 wave packet maximum.

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