Anomalous Diffusion and Quantum Interference Effect in Nano-scale Periodic Lorentz Gas
Chaotic Dynamics
2007-05-23 v1 Mesoscale and Nanoscale Physics
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., L\'evy flights.
Cite
@article{arxiv.nlin/0012062,
title = {Anomalous Diffusion and Quantum Interference Effect in Nano-scale Periodic Lorentz Gas},
author = {Shiro Kawabata},
journal= {arXiv preprint arXiv:nlin/0012062},
year = {2007}
}
Comments
3 pages