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

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 ${\mathbf{Z}}_3\times {\mathbf{Z}}_3$ criticality in the antiferromagnetic region. We also check the universal relations among excitation levels to provide the reliability of our result.

arXiv comment4 pages, 2 figures

References in corpus (8)

• Correlation functions of the 2D sine-Gordon model
• $SU(2)/Z_2$ symmetry of the BKT transition and twisted boundary conditio n
• A constrained Potts antiferromagnet model with an interface representation
• Unusual corrections to scaling in the 3-state Potts antiferromagnet on a square lattice
• Bifurcation at the c=3/2 Takhtajan-Babujian point to the c=1 critical lines
• The three-state Potts model on a triangular lattice
• Phase Diagram of the Square-Lattice Three-State Potts Antiferromagnet with Staggered Polarization Field
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• Monte Carlo study of the antiferromagnetic three-state Potts model with staggered polarization field on the square lattice
• Classical dimer model with anisotropic interactions on the square lattice
• Global phase diagram and six-state clock universality behavior in the triangular antiferromagnetic Ising model with anisotropic next-nearest-neighbor coupling: Level-spectroscopy approach
• Comprehensive studies on the universality of BKT transitions -- Machine-learning study, Monte Carlo simulation, and Level-spectroscopy method
• Effective Field Theory of Triangular-Lattice Three-Spin Interaction Model
• Critical intermediate phase and phase transitions in a triangular-lattice three-spin interaction model: Level-spectroscopy approach
• Berezinskii-Kosterlitz-Thouless phase transitions of the antiferromagnetic Ising model with ferromagnetic next-nearest-neighbor interactions on the kagome lattice