Anomalous Diffusion and Quantum Interference Effect in Nano-scale Periodic Lorentz Gas

Shiro Kawabata

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arXiv · nlin/0012062

Anomalous Diffusion and Quantum Interference Effect in Nano-scale Periodic Lorentz Gas

Shiro Kawabata

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Abstract

Recent advances in submicrometer technology have made it possible to confine the two-dimensional electron gas into high-mobility semi-conductor heterostructures. Such structure with a lattice of electron-depleted circular obstacles are called quantum antidot lattices, or quantum Lorentz gas systems. By using the semiclassical scattering theory, we show that quantum interference in finite-size open Lorentz gas systems is expected to reflect the difference between normal and anomalous diffusions, i.e., Lévy flights.

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Shiro Kawabata. 2000-12-28. Anomalous Diffusion and Quantum Interference Effect in Nano-scale Periodic Lorentz Gas. https://arxiv.org/abs/nlin/0012062

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