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Phys. Rev. Lett. 70, 4118–4121 (1993)

Quantized periodic orbits in large antidot arrays

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D. Weiss, K. Richter, A. Menschig, R. Bergmann, H. Schweizer, K. von Klitzing, and G. Weimann
Max-Planck-Institut für Festkörperforschung, D-7000 Stuttgart 80, Germany
IV Physikalisches Institut der Universität Stuttgart, D-7000 Stuttgart 80, Germany
Walter-Schottky Institut der Technischen Universität München, D-8046 Garching, Germany

Received 12 March 1993; published in the issue dated 28 June 1993

The resistivity ρxx measured in large antidot arrays as a function of an applied perpendicular magnetic field B displays distinct quantum oscillations at very low temperatures. These oscillations characteristically differ from conventional Shubnikov-de Haas oscillations which are periodic in 1/B. A crossover to B periodic oscillations at low B discloses the influence of the imposed potential. Applying semiclassical periodic orbit theory to the nonintegrable (chaotic) electron motion in the antidot lattice we attribute these phenomena to the quantization of few fundamental periodic orbits.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.70.4118
DOI:
10.1103/PhysRevLett.70.4118
PACS:
73.20.Dx, 03.65.Sq, 05.45.+b, 73.50.Jt