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Phys. Rev. Lett. 84, 2929–2932 (2000)

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

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R. Ketzmerick, K. Kruse, D. Springsguth, and T. Geisel
Max-Planck-Institut für Strömungsforschung und Institut für Nichtlineare Dynamik der Universität Göttingen, Bunsenstraße 10, D-37073 Göttingen, Germany

Received 22 October 1998; revised 2 November 1999; published in the issue dated 27 March 2000

We find that a 2D periodic potential, with different modulation amplitudes in the x and y directions, 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 crossings due to classical chaos.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.84.2929
DOI:
10.1103/PhysRevLett.84.2929
PACS:
73.20.Dx, 05.45.Mt, 73.50.Jt