Phase Transition Strength through Densities of General Distributions of Zeroes

TL;DR

This paper extends a technique for analyzing the density of partition function zeroes to more complex cases involving non-curve distributions and degeneracies, demonstrating its effectiveness on various models.

Contribution

It introduces an extension of the zeroes density method to handle non-curve and degenerate zeroes, broadening its applicability.

Findings

Effective in models with complex zero distributions

Handles degenerate zeroes successfully

Applicable to a variety of physical models

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.