Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q

Huang, Yuan; Chen, Kun; Deng, Youjin; Jacobsen, Jesper Lykke; Kotecký, Roman; Salas Martínez, Jesús; Sokal, Alan D.; Swart, Jan M.

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Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q

Author(s): Huang, Yuan; Chen, Kun; Deng, Youjin; Jacobsen, Jesper Lykke; Kotecký, Roman; Salas Martínez, Jesús; Sokal, Alan D.; Swart, Jan M.

Publisher: American Physical Society

Issued date: 2013-01

Citation: Huang, Y., Chen, K., Deng, Y., Jacobsen, J. L., Kotecký, R., Salas, J., Sokal, A. D. & Swart, J. M. (2013). Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q. Physical Review E, 87(1), 012136.

ISSN: 1539-3755

DOI: https://doi.org/10.1103/PhysRevE.87.012136

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Economía y Competitividad (España)

Project: Gobierno de España. FPA2009-08785
Gobierno de España. MTM2011-24097

Keywords: Square-lattice , Monte-Carlo , Zero-temperature , Models , Representation , Spin

URI: http://hdl.handle.net/10016/33036

Abstract:

We exhibit infinite families of two-dimensional lattices (some of which are triangulations or quadrangulations of the plane) on which the q-state Potts antiferromagnet has a finite-temperature phase transition at arbitrarily large values of q. This unexpected [+]

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