WAGENHUBER, J and GEISEL, T and NIEBAUER, P and OBERMAIR, G (1992) CHAOS AND ANOMALOUS DIFFUSION OF BALLISTIC ELECTRONS IN LATERAL SURFACE SUPERLATTICES. PHYSICAL REVIEW B, 45 (8). pp. 4372-4383. ISSN 0163-1829,
Full text not available from this repository.Abstract
We study the classical dynamics of a charged particle in a two-dimensional (2D) lattice-periodic potential with a perpendicular magnetic field. Due to chaotic scattering the particle shows diffusion in 1D and 2D, as well as anomalous diffusion associated with 1/f noise. The onset of diffusion is explained by heteroclinic intersections and stochastic layers, and the transition from 1D to 2D diffusion is caused by the destruction of a separating Kolmogorov-Arnold-Moser torus. As a simplification we introduce a discrete-time model based on a separatrix map, which facilitates the analysis of free-path distributions related to the occurrence of anomalous diffusion. These results represent classical approximations for the dynamics of electron wave packets in lateral surface superlattices on semiconductor heterojunctions.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | DIAMAGNETIC BAND-STRUCTURE; WAVE-FUNCTIONS; MAGNETORESISTANCE OSCILLATIONS; SCHRODINGER-EQUATION; HAMILTONIAN-SYSTEMS; MAGNETIC-FIELDS; QUANTUM DOTS; RESISTANCE; DYNAMICS; BILLIARD; |
| Depositing User: | Dr. Gernot Deinzer |
| Last Modified: | 19 Oct 2022 08:44 |
| URI: | https://pred.uni-regensburg.de/id/eprint/54645 |
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