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

1998/10/31 by Roland Ketzmerick, R. Ketzmerick, K. Kruse +3
Physics and Astronomy · #Quantum and electron transport phenomena #Quantum chaos and dynamical systems #Semiconductor Quantum Structures and Devices #chao-dyn #cond-mat.mes-hall #nlin.CD

paper · pdf · doi:10.1103/physrevlett.84.2929

published as PRL 84, 2929 (2000) · 4 pages, 3 figures, minor modifications, PRL to appear

arxiv created 2000/02/15 · openalex publication_date 2000/03/27 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

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.

Citations