Finite-Temperature Phase Transition in a Class of Four-State Potts Antiferromagnets

Deng, Youjin; Huang, Yuan; Jacobsen, Jesper Lykke; Salas Martínez, Jesús; Sokal, Alan D.

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Finite-Temperature Phase Transition in a Class of Four-State Potts Antiferromagnets

Author(s): Deng, Youjin; Huang, Yuan; Jacobsen, Jesper Lykke; Salas Martínez, Jesús; Sokal, Alan D.

Publisher: American Physical Society

Issued date: 2011-10-07

Citation: Deng, Y., Huang, Y., Jacobsen, J. L., Salas, J. & Sokal, A. D. (2011). Finite-Temperature Phase Transition in a Class of Four-State Potts Antiferromagnets. Physical Review Letters, 107(15), 150601.

ISSN: 0031-9007

DOI: https://doi.org/10.1103/PhysRevLett.107.150601

xmlui.dri2xhtml.METS-1.0.item-contributor-funder: Ministerio de Ciencia e Innovación (España)

Sponsor: This work was supported in part by NSFC Grant No. 10975127, the Chinese Academy of Sciences, French Grant No. ANR-10-BLAN-0414, the Institut Universitaire de France, Spanish MEC Grants No. FPA2009-08785 and No. MTM2008-03020, and NSF Grant No. PHY-0424082.

Project: Gobierno de España. FPA2009-08785
Gobierno de España. MTM2008-03020

URI: http://hdl.handle.net/10016/33102

Abstract:

We argue that the four-state Potts antiferromagnet has a finite-temperature phase transition on any Eulerian plane triangulation in which one sublattice consists of vertices of degree 4. We furthermore predict the universality class of this transition. We then [+]

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