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 30o 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

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