Yang-Lee Edge Singularity on a Class of Treelike Lattices

TL;DR

This paper investigates the distribution of partition function zeros for the Ising model on treelike lattices, deriving exact critical exponents at the Yang-Lee edge using recursion relations.

Contribution

It provides an exact analytical expression for critical exponents at the Yang-Lee edge on treelike lattices, advancing understanding of phase transitions in such structures.

Findings

Exact critical exponents derived for the Yang-Lee edge

Recursion relations reveal singular behavior near the edge

Enhanced understanding of zeros distribution in treelike lattices

Abstract

The density of zeros of the partition function of the Ising model on a class of treelike lattices is studied. An exact closed-form expression for the pertinent critical exponents is derived by using a couple of recursion relations which have a singular behavior near the Yang-Lee edge.