Yang-Lee zeros of the Q-state Potts model in the complex magnetic-field plane

Abstract

The microcanonical transfer matrix is used to study the distribution of Yang-Lee zeros of the $Q$-state Potts model in the complex magnetic-field ($x=e^{\beta h}$) plane for the first time. Finite size scaling suggests that at (and below) the critical temperature the zeros lie close to, but not on, the unit circle with the two exceptions of the critical point $x=1$ ($h=0$) itself and the zeros in the limit T=0.

REVTeX, 12 pages, 5 figures, to appear in Phys. Rev. Lett

References in corpus (8)

• Low temperature expansion for the 3-d Ising Model
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• Partition function zeros at first-order phase transitions: A general analysis
• Yang-Lee zeros and the helix-coil transition in a continuum model of polyalanine
• Density of states, Potts zeros, and Fisher zeros of the Q-state Potts model for continuous Q
• Density of Yang-Lee zeros for the Ising ferromagnet
• Fisher zeros of the Q-state Potts model in the complex temperature plane for nonzero external magnetic field
• Partition function zeros of the Q-state Potts model on the simple-cubic lattice
• Exact results for the zeros of the partition function of the Potts model on finite lattices
• Yang-Lee Zeros of the Q-state Potts Model on Recursive Lattices
• Density of Yang-Lee zeros in the thermodynamic limit from tensor network methods
• Partition function zeros and leading order scaling correction of the 3D Ising model from multicanonical simulations
• Yang-Lee Zeros of the Ising model on Random Graphs of Non Planar Topology
• Complex-q zeros of the partition function of the Potts model with long-range interactions
• Yang-Lee zeros and the critical behavior of the infinite-range two- and three-state Potts models
• Partition and generating function zeros in adsorbing self-avoiding walks
• Yang-Lee Zeros of the Two- and Three-State Potts Model Defined on ${\varphi }^3$ Feynman Diagrams
• Partition function zeros of adsorbing Dyck paths