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

Research output: Contribution to journalArticle

8 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 1 2005

Fingerprint

Potts Model
Square Lattice
Spectroscopy
Nearest Neighbor
Excitation
Finite-size Scaling
Transfer Matrix
Criticality
Finite Temperature
Decoupling
decoupling
spectroscopy
Phase Diagram
excitation
Continue
phase diagrams
scaling
temperature

All Science Journal Classification (ASJC) codes

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

Cite this

Level spectroscopy of the square-lattice three-state Potts model with a ferromagnetic next-nearest-neighbor coupling. / Otsuka, Hiromi; Mori, Koutaro; Okabe, Yutaka; Nomura, Kiyohide.

In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 72, No. 4, 046103, 01.10.2005.

Research output: Contribution to journalArticle

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