Semiclassical Theory of Magnetotransport through a Chaotic Quantum Well

E. E. Narimanov,¹ A. Douglas Stone,¹ and G. S. Boebinger²

¹Applied Physics, Yale University, P.O. Box 208284, New Haven, Connecticut 06520-8284
²Bell Laboratories, Lucent Technologies, 700 Mountain Avenue, Murray Hill, New Jersey 07974

Physical Review Letters -- May 4, 1998 -- Volume 80, Issue 18 pp. 4024-4027

We develop a quantitative semiclassical formula for the resonant tunneling current through a quantum well in a tilted magnetic field. It is shown that the current depends only on periodic orbits within the quantum well. For example, the theory explains the puzzling evolution of the data near a tilt angle of 30^o as arising from an exchange bifurcation of the relevant periodic orbits.

KeyWords: resonant tunnelling diodes; semiconductor quantum wells; chaos; bifurcation; magnetic field effects; transport processes

URL: http://link.aps.org/abstract/PRL/v80/p4024
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