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Crossover of Criticality in a Three-State Potts Antiferromagnet with a Staggered Polarization Field
Hiromi Otsuka,Yutaka Okabe 한국물리학회 2008 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.53 No.2
We study the square-lattice antiferromagnetic three-state Potts model with a staggered polariza- tion field at finite temperature. Two crossover behaviors are expected; each of them is described by the Gaussian model perturbed by two competing relevant terms. Using the transfer-matrix calculation and the Wang-Landau Monte Carlo methods, we precisely determine the global phase diagram. Then, we find that two phase boundary lines separate the two-dimensional model parameter space into three parts and that the intermediate phase consists of partialy ordered and disordered states. We clarify the criticalities of the phase transitions, as wel as the behaviors of thermodynamic quantities. Furthermore, we provide an analysis of the boundary shapes based on the crossover argument.
Emergent Criticalities and Phase Transitions in a Monomer-dimer Mixture on a Honeycomb Lattice
Hiromi Otsuka 한국물리학회 2013 THE JOURNAL OF THE KOREAN PHYSICAL SOCIETY Vol.63 No.3
We study a monomer-dimer mixture on a honeycomb lattice as a simplified model for a spinice in two dimension. In a low monomer-density region, an effective description is given by thedual sine-Gordon theory. On the other hand, in intermediate and high monomer-density regions,the Potts lattice-gas theory can be adopted. Based on these, we extract a renormalization-groupflow diagram, which includes stable and unstable fixed points corresponding to M5 and M6 in theminimal models of the conformal field theory. We carry out numerical transfer-matrix calculationsto determine the phase diagram, and we provide evidence to check our prediction.