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Transient Oscillation of Currents in Quantum Hall Effect of Bloch Electrons
Manabu Machida,
Jun Goryo1, and
Naomichi Hatano
Institute of Industrial Science, The University of Tokyo, Komaba, Meguro, Tokyo 153-8505
1Department of Physics and Mathematics, Aoyama Gakuin University, 5-10-1 Fuchinobe, Sagamihara, Kanagawa 229-8558
(Received August 30, 2007; Accepted December 3, 2007; Published February 12, 2008)
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.
©2008 The Physical Society of Japan
KEYWORDS:
integer quantum Hall effect, Chern number, linear response theory
URL:
http://jpsj.ipap.jp/link?JPSJ/77/024713/
DOI: 10.1143/JPSJ.77.024713
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