Correlations and order parameter at a Coulomb-crystal phase transition in a three-dimensional dimer model

TL;DR

This paper investigates a continuous phase transition in a 3D classical dimer model, revealing emergent symmetry and complex correlations between order parameters and Coulomb liquid behavior.

Contribution

It provides a detailed analysis of critical correlations and suggests an emergent O(3) symmetry at the phase transition, highlighting novel critical phenomena.

Findings

Continuous phase transition between ordered crystal and Coulomb liquid

Emerging O(3) symmetry at critical point

Complex interplay of fluctuations and correlations

Abstract

The three-dimensional classical dimer model with interactions shows an unexpected continuous phase transition between an ordered dimer crystal and a Coulomb liquid. A detailed analysis of the critical dimer and monomer correlation functions point to a subtle interplay between the fluctuations of the crystal order parameter and the "magnetic" degrees of freedom present in the Coulomb phase. The distribution probability of the crystal order parameter suggests an emerging continuous O(3) symmetry at the critical point.