Anomalous Diffusion and Quantum Interference Effect in Nano-scale Periodic Lorentz Gas
arXiv:nlin/0012062
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.
3 pages