Boundary CFT and Tensor Network Approach to Surface Critical Phenomena of the Tricritical 3-State Potts model
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DOI: 10.1007/s10955-021-02728-y
Abstract: One-dimensional edges of classical systems in two dimension sometimes show surprisingly rich phase transitions and critical phenomena, especially when the bulk is at criticality. As such a model, we study the surface critical behavior of… read more here.
Keywords: potts model; state; surface critical; state potts ... See more keywords
Zeros of the 3-state Potts model partition function for the square lattice revisited
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Statistical Mechanics: Theory and Experiment"
DOI: 10.1088/1742-5468/ab2905
Abstract: We compute the exact partition function for the 3-state Potts model on square lattices of several sizes larger than previously accessible. Making comparison with the exactly solved Ising model we show that, for aspects of… read more here.
Keywords: model; state potts; partition function; potts model ... See more keywords
Numerical study on a crossing probability for the four-state Potts model: Logarithmic correction to the finite-size scaling
Sign Up to like & getrecommendations! Published in 2019 at "Progress of Theoretical and Experimental Physics"
DOI: 10.1093/ptep/ptz101
Abstract: A crossing probability for the critical four-state Potts model on an $L\times M$ rectangle on a square lattice is numerically studied. The crossing probability here denotes the probability that spin clusters cross from one side… read more here.
Keywords: logarithmic correction; probability; state potts; four state ... See more keywords
Phase diagram for the bisected-hexagonal-lattice five-state Potts antiferromagnet.
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DOI: 10.1103/physreve.102.032124
Abstract: In this paper we study the phase diagram of the five-state Potts antiferromagnet on the bisected-hexagonal lattice. This question is important since Delfino and Tartaglia recently showed that a second-order transition in a five-state Potts… read more here.
Keywords: bisected hexagonal; potts antiferromagnet; state potts; phase ... See more keywords
Asymptotic correlation functions in the Q-state Potts model: A universal form for point group C_{4v}.
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DOI: 10.1103/physreve.102.032141
Abstract: Reexamining algebraic curves found in the eight-vertex model, we propose an asymptotic form of the correlation functions for off-critical systems possessing rotational and mirror symmetries of the square lattice, i.e., the C_{4v} symmetry. In comparison… read more here.
Keywords: potts model; state potts; model; correlation functions ... See more keywords