Phase Transition Strength through Densities of General Distributions of Zeroes

Abstract

A recently developed technique for the determination of the density of partition function zeroes using data coming from finite-size systems is extended to deal with cases where the zeroes are not restricted to a curve in the complex plane and/or come in degenerate sets. The efficacy of the approach is demonstrated by application to a number of models for which these features are manifest and the zeroes are readily calculable.

arXiv comment16 pages, 12 figures

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• Duality and Fisher zeros in the 2D Potts model on square lattice
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• From Complexification to Self-Similarity: New Aspects of Quantum Criticality
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• Phase diagram of the Wako-Saito-Munoz-Eaton beta-hairpin Model obtained with partition function zeros
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• A Microcanonical Inflection Point Analysis via Parametric Curves and its Relation to the Zeros of the Partition Function
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• Properties of phase transitions of higher order