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Anomalous Diffusion and Quantum Interference Effect in Nano-scale Periodic Lorentz Gas | Shiro Kawabata
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28 Dec 2000 | Journal: | `Statistical Physics’’, M. Tokuyama & I. Oppenheim (Eds.), p. 228 (World Scientific, 1998) | Subject: | Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall | Affiliation: | ETL, Japan | 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. | Source: | arXiv, nlin.CD/0012062 | Services: | Forum | Review | PDF | Favorites |
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