Level spectroscopy of the square-lattice three-state Potts model with a ferromagnetic next-nearest-neighbor coupling

Hiromi Otsuka, Koutaro Mori, Yutaka Okabe, Kiyohide Nomura

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9 Citations (Scopus)

Abstract

We study the square-lattice three-state Potts model with the ferromagnetic next-nearest-neighbor coupling at finite temperature. Using the level-spectroscopy method, we numerically analyze the excitation spectrum of the transfer matrices and precisely determine the global phase diagram. Then we find that, contrary to a previous result based on the finite-size scaling, the massless region continues up to the decoupling point with Z3 × Z3 criticality in the antiferromagnetic region. We also check the universal relations among excitation levels to provide the reliability of our result.

Original languageEnglish
Article number046103
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume72
Issue number4
DOIs
Publication statusPublished - Oct 2005

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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