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Phys. Rev. Lett. 98, 204101 (2007) [4 pages]

Draining of the Sea of Chaos: Role of Resonant Transmission and Reflection in an Array of Billiards

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R. Brunner, R. Meisels, and F. Kuchar
Institute of Physics, University of Leoben, A-8700 Leoben, Austria

R. Akis and D. K. Ferry
Department of Electrical Engineering and Center for Solid State Electronics Research, Arizona State University, Tempe, Arizona 85287, USA

J. P. Bird
Department of Electrical Engineering, University at Buffalo, Buffalo, New York 14260, USA

Received 15 November 2006; published 17 May 2007

We investigate the dynamics of a system of coupled electron billiards by using a magnetic field to dramatically modify the underlying mixed phase space. At specific values of the magnetic field the sea of chaos is drained. At these fields there exist reflected or transmitted orbits associated with maxima and minima in the experimentally observed magnetoresistance. These effects are studied by comparing the classical and quantum-mechanical phase-space dynamics leading to a basic understanding of the role of chaos in the transport in an array of billiards.

© 2007 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.98.204101
DOI:
10.1103/PhysRevLett.98.204101
PACS:
05.45.Mt, 73.63.Kv, 75.47.Jn