Dolan, Brian P.
(1998)
The Modular and Renormalisation Groups in the
Quantum Hall Effect.
Working Paper.
arXiv.org.
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: |
|
| 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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