Periodic Orbit Theory of the Transition to Chaos in Quantum Wells

E. E. Narimanov; A. D. Stone

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arXiv · cond-mat/9604140

Periodic Orbit Theory of the Transition to Chaos in Quantum Wells

E. E. Narimanov·A. D. Stone

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Abstract

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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E. E. Narimanov, A. D. Stone. 1996-04-22. Periodic Orbit Theory of the Transition to Chaos in Quantum Wells. https://arxiv.org/abs/cond-mat/9604140

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