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    Thin Fisher zeros


    Dolan, Brian P. and Janke, W. and 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: https://doi.org/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
    URI:

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