Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets

Liang Tian; Hui Ma; Wenan Guo; Lei Han Tang

doi:10.1140/epjb/e2013-40173-5

Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets

Liang Tian, Hui Ma, Wenan Guo, Lei Han Tang

Research output: Contribution to journal › Journal article › peer-review

2 Citations (Scopus)

Abstract

We present an exact solution of the q-state Potts model on a class of generalized Sierpinski fractal lattices. The model is shown to possess an ordered phase at low temperatures and a continuous transition to the high temperature disordered phase at any q ≥ 1. Multicriticality is observed in the presence of a symmetry-breaking field. Exact renormalization group analysis yields the phase diagram of the model and a complete set of critical exponents at various transitions.

Original language	English
Article number	197
Journal	European Physical Journal B
Volume	86
Issue number	5
DOIs	https://doi.org/10.1140/epjb/e2013-40173-5
Publication status	Published - May 2013

Scopus Subject Areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics

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10.1140/epjb/e2013-40173-5

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title = "Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets",

abstract = "We present an exact solution of the q-state Potts model on a class of generalized Sierpinski fractal lattices. The model is shown to possess an ordered phase at low temperatures and a continuous transition to the high temperature disordered phase at any q ≥ 1. Multicriticality is observed in the presence of a symmetry-breaking field. Exact renormalization group analysis yields the phase diagram of the model and a complete set of critical exponents at various transitions.",

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AU - Guo, Wenan

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AB - We present an exact solution of the q-state Potts model on a class of generalized Sierpinski fractal lattices. The model is shown to possess an ordered phase at low temperatures and a continuous transition to the high temperature disordered phase at any q ≥ 1. Multicriticality is observed in the presence of a symmetry-breaking field. Exact renormalization group analysis yields the phase diagram of the model and a complete set of critical exponents at various transitions.

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DO - 10.1140/epjb/e2013-40173-5

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JO - European Physical Journal B

JF - European Physical Journal B

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Phase transitions of the q-state Potts model on multiply-laced Sierpinski gaskets

Abstract

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