Partial order and finite-temperature phase transitions in Potts models on irregular lattices

TL;DR

This paper investigates the thermodynamic behavior of the 4-state antiferromagnetic Potts model on irregular lattices, revealing a new entropy-driven phase transition to a partially ordered state using tensor-based numerical methods.

Contribution

It introduces evidence for a previously unknown finite-temperature phase transition in Potts models on irregular lattices, highlighting the ubiquity of such phenomena.

Findings

Discovery of a new entropy-driven phase transition.

Evidence of partial ordering at finite temperature.

Ubiquity of such transitions on irregular lattices.

Abstract

We evaluate the thermodynamic properties of the 4-state antiferromagnetic Potts model on the Union- Jack lattice using tensor-based numerical methods. We present strong evidence for a previously unknown, "entropy-driven," finite-temperature phase transition to a partially ordered state. From the thermodynamics of Potts models on the diced and centered diced lattices, we propose that finite-temperature transitions and partially ordered states are ubiquitous on irregular lattices.