Singularites at a Dense Set of Temperature in Husimi Tree

TL;DR

This paper studies complex temperature singularities in a three-site interacting Ising model on the Husimi tree, revealing dense singularities at specific magnetic fields that lead to phase transition condensation.

Contribution

It demonstrates the existence of dense sets of temperature singularities in the model under certain magnetic fields, advancing understanding of phase transitions in complex systems.

Findings

Dense set of temperature singularities at specific magnetic fields

Phase transition condensation occurs due to these singularities

Complex temperature behavior in the three-site interacting Ising model

Abstract

We investigate complex temperature singularities of the three-site interacting Ising model on the Husimi tree in the presentce of magnetic field. We show that at certain magnetic field these singularities lie at a dense set and as a consequence the phase transition condensation take place.