Billiards in magnetic fields: A molecular dynamics approach

M. Aichinger, S. Janecek, and E. Räsänen
Phys. Rev. E 81, 016703 – Published 14 January 2010

Abstract

We present a computational scheme based on classical molecular dynamics to study chaotic billiards in static external magnetic fields. The method allows us to treat arbitrary geometries and several interacting particles. We test the scheme for rectangular single-particle billiards in magnetic fields and find a sequence of regularity islands at integer aspect ratios. In the case of two Coulomb-interacting particles the dynamics is dominated by chaotic behavior. However, signatures of quasiperiodicity can be identified at weak interactions, as well as regular trajectories at strong magnetic fields. Our scheme provides a promising tool to monitor the classical limit of many-electron semiconductor nanostructures and transport systems up to high magnetic fields.

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  • Received 26 August 2009

DOI:https://doi.org/10.1103/PhysRevE.81.016703

©2010 American Physical Society

Authors & Affiliations

M. Aichinger1, S. Janecek2,3, and E. Räsänen4,2

  • 1Johann Radon Institute for Computational and Applied Mathematics (RICAM), Austrian Academy of Sciences, Altenberger Strasse 69, A-4040 Linz, Austria
  • 2Institut für Theoretische Physik, Johannes Kepler Universität, A-4040 Linz, Austria
  • 3Institut de Ciència de Materials de Barcelona, Campus UAB, Bellaterra, 08193 Bellaterra (Barcelona), Spain
  • 4Nanoscience Center, Department of Physics, University of Jyväskylä, FI-40014 Jyväskylä, Finland

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Vol. 81, Iss. 1 — January 2010

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