Kosterlitz-Thouless phase transition and reentrance in an anisotropic 3-state Potts model on the generalized Kagome lattice

TL;DR

This paper investigates the reentrant phase transition in an anisotropic 3-state Potts model on a generalized Kagome lattice, revealing a Kosterlitz-Thouless type transition and the use of quasi-entanglement entropy for detection.

Contribution

It uncovers the occurrence of KT-type reentrant transitions in a Potts model with anisotropy and no local order parameter, expanding understanding of phase transitions in such systems.

Findings

Reentrant phenomena occur in both ordered and disordered phases.

Reentrance depends on ratios of next nearest couplings, {eta} and {eta}.

Quasi-entanglement entropy accurately detects KT transition temperature.

Abstract

The unusual reentrant phenomenon is observed in the anisotropic 3-state Potts model on a gen- eralized Kagome lattice. By employing the linearized tensor renormalization group method, we find that the reentrance can appear in the region not only under a partial ordered phase as commonly known but also a phase without a local order parameter, which is uncovered to fall into the uni- versality of the Kosterlitz-Thouless (KT) type. The region of the reentrance depends strongly on the ratios of the next nearest couplings {\alpha} = J2 /|J1 | and {\beta} = J3 /|J1 |. The phase diagrams in the plane of temperature versus {\beta} for different {\alpha} are obtained. Through massive calculations, it is also revealed that the quasi-entanglement entropy can be used to accurately detect the KT transition temperature.