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Dolan, Brian P. (2011) Holomorphic and anti-holomorphic conductivity flows in the quantum Hall effect. Journal of Physics A: Mathematical and Theoretical, 44 (17501). pp. 1-11. ISSN 1751-8121
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Abstract
It is shown that the flow diagrams for the conductivities in the quantum Hall effect, arising from two ostensibly very different proposals based on modular symmetry, are in fact identical. The β-functions are different, the rate at
which the flow lines are traversed are different, but the tangents to the flow lines are the same in both cases, hence the flow diagrams are same in all aspects.
| Item Type: | Article |
|---|---|
| Keywords: | Holomorphic; anti-holomorphic; conductivity flows; quantum Hall effect; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 2608 |
| Identification Number: | doi: 10.1088/1751-8113/44/17/175001 |
| Depositing User: | Dr. Brian Dolan |
| Date Deposited: | 15 Jul 2011 13:20 |
| Journal or Publication Title: | Journal of Physics A: Mathematical and Theoretical |
| Publisher: | Institute of Physics Publishing Ltd |
| Refereed: | No |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/2608 |
| 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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