Edge states of the quantum Hall uid provide an opportunity to study mesoscopic e ects in a highly correlated electron system that is both experimentally accessible and theoretically tractable. In this paper we review recent work on the persistent current and Aharonov-Bohm magnetoconductance oscillat
Quantum Hall transitions in mesoscopic devices
โ Scribed by Takashi Nakajima; Takeji Ueda; Susumu Komiyama
- Publisher
- Elsevier Science
- Year
- 2008
- Tongue
- English
- Weight
- 194 KB
- Volume
- 40
- Category
- Article
- ISSN
- 1386-9477
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โฆ Synopsis
System-size dependence of the quantum Hall plateau-to-insulator transition in GaAs two-dimensional electron systems is studied, where the system size is comparable to the correlation length of potential fluctuation. The transition exhibited a nonstandard system-size dependence at low temperatures, which is interpreted by assuming that the underlying mechanism of localization crosses over from Anderson localization to semiclassical percolation in mesoscopic systems.
๐ SIMILAR VOLUMES
Issues in the quantum description of mesoscopic FEI design and modelling are discussed. Possible routes to designing deterministic quantum devices are outlined.