Chaotic and ballistic dynamics for two-dimensional electrons in periodic magnetic fields

P. Schmelcher and D. L. Shepelyansky
Phys. Rev. B 49, 7418 – Published 15 March 1994
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Abstract

We investigate the classical properties of electrons moving in a superposition of a uniform and periodically oscillating magnetic field. The most interesting dynamics occurs in the case where the uniform and periodic fields are of comparable order of magnitude and the periodic component originates from a planar arrangement of spins. For small energies almost the complete phase space is regular. With increasing energy the fraction of irregular orbits increases and eventually the phase space becomes completely chaotic. For higher energies we observe the appearance of a ballistic mode which allows the electrons to travel with high velocity through the magnetized spin lattice. This regular ballistic mode might be of relevance for transport processes in solid-state physics.

  • Received 29 November 1993

DOI:https://doi.org/10.1103/PhysRevB.49.7418

©1994 American Physical Society

Authors & Affiliations

P. Schmelcher

  • Theoretische Chemie, Physikalisch-Chemisches Institut, Universität Heidelberg, Im Neuenheimer Feld 253, 69120 Heidelberg, Federal Republic of Germany

D. L. Shepelyansky

  • Laboratoire de Physique Quantique, Universite Paul Sabatier, 118, route de Narbonne, 31062 Toulouse Cedex, France

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Vol. 49, Iss. 11 — 15 March 1994

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