Transient Oscillation of Currents in Quantum Hall Effect of Bloch Electrons

Details Transient Oscillation of Currents in Quantum Hall Effect of Bloch Electrons Transient Oscillation of Currents in Quantum Hall Effect of Bloch Electrons

2007-12-10

arxiv.org/abs/0712.1387v1

J. Phys. Soc. Jpn. 77 (2008) 024713

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

16 pages and 8 figures

Scientific paper

10.1143/JPSJ.77.024713

We consider the quantum Hall effect of two-dimensional electrons with a
periodic potential and study the time dependence of the Hall and longitudinal
currents when the electric field is applied abruptly. We find that the currents
oscillate in time with very large frequencies because of quantum fluctuation
and the oscillations eventually vanish, for their amplitudes decay as 1/t.

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