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Dolan, Brian P., Janke, W., Johnston, D.A. and Stathakopoulos, M. (2001) Thin Fisher zeros. Journal of Physics A: Mathematical and General, 34 (6211). ISSN 1751-8113
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Abstract
Various authors have suggested that the loci of partition function zeros can profitably be regarded as phase boundaries in the complex temperature or field planes. We obtain the Fisher zeros for Ising and Potts models on non-planar ('thin') regular random graphs using this approach, and note that the locus of Fisher zeros on a Bethe lattice is identical to the corresponding random graph. Since the number of states q appears as a parameter in the Potts solution the limiting locus of chromatic zeros is also accessible.
| Item Type: | Article |
|---|---|
| Additional Information: | Cite as: B P Dolan et al 2001 J. Phys. A: Math. Gen. 34 6211 BD was partially supported by Enterprise Ireland Basic Research Grant SC/1998/739 and BD and DJ by an Enterprise Ireland/British Council Research Visits Scheme BC/2000/004. BD would like to thank Heriot-Watt Mathematics Department for its hospitality and DJ would like to thank the Department of Mathematical Physics, National University of Ireland, Maynooth for the same. WJ and DJ were partially supported by ARC grant 313-ARC-XII-98/41 and the EC IHP network ‘Discrete random geometries: from solid state physics to quantum gravity’ HPRN-CT-1999-000161. |
| Keywords: | Thin Fisher zero; Ising and Potts models; |
| Academic Unit: | Faculty of Science and Engineering > Mathematical Physics |
| Item ID: | 10493 |
| Identification Number: | 10.1088/0305-4470/34/32/301 |
| Depositing User: | Dr. Brian Dolan |
| Date Deposited: | 15 Feb 2019 16:41 |
| Journal or Publication Title: | Journal of Physics A: Mathematical and General |
| Publisher: | Institute of Physics |
| Refereed: | Yes |
| Funders: | Enterprise Ireland (EI), Enterprise Ireland/British Council Research Visits Scheme |
| Related URLs: | |
| URI: | https://mural.maynoothuniversity.ie/id/eprint/10493 |
| 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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