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Dolan, Brian P. (1998) The Modular and Renormalisation Groups in the Quantum Hall Effect. Working Paper. arXiv.org.
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Official URL: http://arxiv.org/abs/hep-th/9811218
Abstract
An analytic form for the crossover of the conductivity tensor between
two Hall plateaux, as a function of the external magnetic field, is proposed.
The form of the crossover is obtained from the action of a symmetry
group, a particular subgroup of the modular group, on the upper-half
complex conductivity plane, by assuming that the β-function describing
the crossover is a holomorphic function of the conductivity. The group action
also leads to a selection rule, |p1q2−p2q1| = 1, for allowed transitions
between Hall plateaux with filling factors ѵ1 = p1/q1 and ѵ2 = p2/q2,
where q1 and q2 are odd.
| Item Type: | Monograph (Working Paper) |
|---|---|
| Additional Information: | Talk presented at the Workshop on the Exact Renormalisation Group, Faro, Portugal, 10-12th September, 1998. |
| Keywords: | Modular; Renormalisation Groups; Quantum Hall Effect; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 5932 |
| Identification Number: | arXiv:hep-th/9811218 |
| Depositing User: | Dr. Brian Dolan |
| Date Deposited: | 03 Mar 2015 15:36 |
| Publisher: | arXiv.org |
| Refereed: | Yes |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/5932 |
| Use Licence: | This item is available under a Creative Commons Attribution Non Commercial Share Alike Licence (CC BY-NC-SA). Details of this licence are available here |
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