2003arXiv (Cornell University)Open access

Fisher zeros and Potts zeros of the Q-state Potts model for nonzero external magnetic field

Seung‐Yeon Kim

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Abstract

The properties of the partition function zeros in the complex temperature plane (Fisher zeros) and in the complex $Q$ plane (Potts zeros) are investigated for the $Q$-state Potts model in an arbitrary nonzero external magnetic field $H_q$, using the exact partition function of the one-dimensional model.

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The properties of the partition function zeros in the complex temperature plane (Fisher zeros) and in the complex $Q$ plane (Potts zeros) are investigated for the $Q$-state Potts model in an arbitrary nonzero external magnetic field $H_q$, using the exact partition function of the one-dimensional model.

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Available abstract

The properties of the partition function zeros in the complex temperature plane (Fisher zeros) and in the complex $Q$ plane (Potts zeros) are investigated for the $Q$-state Potts model in an arbitrary nonzero external magnetic field $H_q$, using the exact partition function of the one-dimensional model.

Key concepts: Potts model, Chiral Potts curve, Partition function (quantum field theory), Mathematics, Complex plane, Plane (geometry), Mathematical physics, Physics

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