Finite-temperature phase transition in a class of four-state Potts antiferromagnets

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

doi:10.1103/PhysRevLett.107.150601

Finite-temperature phase transition in a class of four-state Potts antiferromagnets

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

Research output: Contribution to journal › Article › peer-review

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 present transfer-matrix and Monte Carlo data confirming these predictions for the cases of the Union Jack and bisected hexagonal lattices.

Original language	English (US)
Article number	150601
Journal	Physical Review Letters
Volume	107
Issue number	15
DOIs	https://doi.org/10.1103/PhysRevLett.107.150601
State	Published - Oct 3 2011

ASJC Scopus subject areas

General Physics and Astronomy

Access to Document

10.1103/PhysRevLett.107.150601

Cite this

@article{d4d4f0dae1874a0c923a154d151f77c0,

title = "Finite-temperature phase transition in a class of four-state Potts antiferromagnets",

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 present transfer-matrix and Monte Carlo data confirming these predictions for the cases of the Union Jack and bisected hexagonal lattices.",

author = "Youjin Deng and Yuan Huang and Jacobsen, {Jesper Lykke} and Jes{\'u}s Salas and Sokal, {Alan D.}",

year = "2011",

month = oct,

day = "3",

doi = "10.1103/PhysRevLett.107.150601",

language = "English (US)",

volume = "107",

journal = "Physical Review Letters",

issn = "0031-9007",

publisher = "American Physical Society",

number = "15",

}

TY - JOUR

T1 - Finite-temperature phase transition in a class of four-state Potts antiferromagnets

AU - Deng, Youjin

AU - Huang, Yuan

AU - Jacobsen, Jesper Lykke

AU - Salas, Jesús

AU - Sokal, Alan D.

PY - 2011/10/3

Y1 - 2011/10/3

N2 - 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 present transfer-matrix and Monte Carlo data confirming these predictions for the cases of the Union Jack and bisected hexagonal lattices.

AB - 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 present transfer-matrix and Monte Carlo data confirming these predictions for the cases of the Union Jack and bisected hexagonal lattices.

UR - http://www.scopus.com/inward/record.url?scp=80053462217&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=80053462217&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.107.150601

DO - 10.1103/PhysRevLett.107.150601

M3 - Article

C2 - 22107278

AN - SCOPUS:80053462217

SN - 0031-9007

VL - 107

JO - Physical Review Letters

JF - Physical Review Letters

IS - 15

M1 - 150601

ER -

Finite-temperature phase transition in a class of four-state Potts antiferromagnets

Abstract

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this