Ising models on hyperbolic graphs

Research output: Contribution to journalArticle

18 Citations (Scopus)

Abstract

We consider Ising models on a hyperbolic graph which, loosely speaking, is a discretization of the hyperbolic plane H2 in the same sense as Zd is a discretization of Rd. We prove that the models exhibit multiple phase transitions. Analogous results for Potts models can be obtained in the same way.

Original languageEnglish (US)
Pages (from-to)251-259
Number of pages9
JournalJournal of Statistical Physics
Volume85
Issue number1-2
DOIs
StatePublished - Jan 1 1996

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Ising model
Ising Model
Discretization
Hyperbolic Plane
Potts Model
Graph in graph theory
Phase Transition
Model

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Mathematical Physics

Cite this

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title = "Ising models on hyperbolic graphs",
abstract = "We consider Ising models on a hyperbolic graph which, loosely speaking, is a discretization of the hyperbolic plane H2 in the same sense as Zd is a discretization of Rd. We prove that the models exhibit multiple phase transitions. Analogous results for Potts models can be obtained in the same way.",
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Ising models on hyperbolic graphs. / Wu, Chuntao Chris.

In: Journal of Statistical Physics, Vol. 85, No. 1-2, 01.01.1996, p. 251-259.

Research output: Contribution to journalArticle

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