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Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q
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Huang, Yuan, Chen, Kun, Deng, Youjin, Jacobsen, Jesper Lykke, Kotecky, Roman, Salas, Jesús, Sokal, Alan D. and Swart, Jan M. (2013) Two-dimensional Potts antiferromagnets with a phase transition at arbitrarily large q. Physical Review E, Volume 87 (Number 1). Article number 012136 . doi:10.1103/PhysRevE.87.012136 ISSN 1539-3755.
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Official URL: http://dx.doi.org/10.1103/PhysRevE.87.012136
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 result is proven rigorously by using a Peierls argument to measure the entropic advantage of sublattice long-range order. Additional numerical data are obtained using transfer matrices, Monte Carlo simulation, and a high-precision graph-theoretic method.
Item Type: | Journal Article | ||||
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Journal or Publication Title: | Physical Review E | ||||
Publisher: | American Physical Society | ||||
ISSN: | 1539-3755 | ||||
Official Date: | 24 January 2013 | ||||
Dates: |
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Volume: | Volume 87 | ||||
Number: | Number 1 | ||||
Page Range: | Article number 012136 | ||||
DOI: | 10.1103/PhysRevE.87.012136 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access |
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