Periodic Orbit Theory of the Transition to Chaos in Quantum Wells

Details Periodic Orbit Theory of the Transition to Chaos in Quantum Wells Periodic Orbit Theory of the Transition to Chaos in Quantum Wells

1996-04-22

arxiv.org/abs/cond-mat/9604140v1

Physics

Condensed Matter

5 pages, 3 postscript figures, submitted to PRL

Scientific paper

An analytic theory is developed for the density of states oscillations in quantum wells in a magnetic field which is tilted with respect to the barrier planes. The main oscillations are found to come from the simplest one or two-bounce periodic orbits. We calculate their period and stability analytically and find an infinite sequence of destabilizations followed by restabilizations as the chaos parameter increases. This phenomenon explains the re-entrant frequency-doubling of the density of states peaks observed in recent magnetotunneling experiments.

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