Overlap of two topological phases in the antiferromagnetic Potts model

TL;DR

This paper demonstrates through Monte Carlo simulations that the antiferromagnetic Potts model can exhibit overlapping topological phases, expanding understanding of phase behavior in topological systems.

Contribution

It introduces the novel finding that the antiferromagnetic Potts model can host overlapping topological phases by controlling vortex core energy.

Findings

Overlapping topological phases observed in the antiferromagnetic Potts model.

Control of vortex core energy influences phase behavior.

Monte Carlo simulations confirm the coexistence of phases.

Abstract

By controlling the vortex core energy, the three-state ferromagnetic Potts model can exhibit two types of topological paradigms, including the quasi-long-range ordered phase and the vortex lattice phase [PRL 116, 097206 (2016)]. Here, by Monte Carlo simulations using an effective worm algorithm, we show that by controlling the vortex core energy, the antiferromagnetic Potts model can also exhibit the two topological phases, more interestingly, the two topological phases can overlap with each other.