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26 April 2024

» pubmed » pmid16383464

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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 ;
Date:	30 Sep 2005
Journal:	Phys Rev E, 72 (4 Pt 2), 046103
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 x Z3 criticality in the antiferromagnetic region. We also check the universal relations among excitation levels to provide the reliability of our result.
Source:	PubMed, pmid16383464
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