Bloch Electrons in a Magnetic Field - Why Does Chaos Send Electrons the Hard Way?

Details Bloch Electrons in a Magnetic Field - Why Does Chaos Send Electrons the Hard Way? Bloch Electrons in a Magnetic Field - Why Does Chaos Send Electrons the Hard Way?

1998-10-23

arxiv.org/abs/cond-mat/9810313v3

PRL 84, 2929 (2000)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

4 pages, 3 figures, minor modifications, PRL to appear

Scientific paper

10.1103/PhysRevLett.84.2929

We find that a 2D periodic potential with different modulation amplitudes in x- and y-direction and a perpendicular magnetic field may lead to a transition to electron transport along the direction of stronger modulation and to localization in the direction of weaker modulation. In the experimentally accessible regime we relate this new quantum transport phenomenon to avoided band crossing due to classical chaos.

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