Quantum Hall Effect on the Hyperbolic Plane
β Scribed by A. L. Carey; K. C. Hannabuss; V. Mathai; P. McCann
- Publisher
- Springer
- Year
- 1998
- Tongue
- English
- Weight
- 429 KB
- Volume
- 190
- Category
- Article
- ISSN
- 0010-3616
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π SIMILAR VOLUMES
We introduce the notion of a hyperbolic plane reflection in symplectic space over a finite field of characteristic 3 and show that the group 2 HJ, where HJ is the HallαJanko simple group, is generated by a set of 315 hyperbolic plane reflections in symplectic 6-space.
The integer quantum Hall effect is analyzed by counting the occupied localized and extended states and studying the variation of their numbers as a function of magnetic field. This provides the simplest but complete understanding of the effect besides revealing some new results.