Density of states and ground state magnetic ordering of the triangular lattice three-state Potts model

TL;DR

This paper uses Monte Carlo simulations to analyze the magnetic ordering, phase transitions, and frustration regions in the three-state Potts model on a triangular lattice, considering various exchange interactions.

Contribution

It provides a detailed phase diagram and ground state analysis for different J1 and J2 interactions, including density of states and frustration regions.

Findings

High ground state degeneracy in fully frustrated regions for negative J1.

Frustration occurs in specific J2/J1 regions, notably at J2/J1=-1.

Phase diagram illustrating magnetic phases and frustration zones.

Abstract

This study present a Monte Carlo investigations of low-temperature magnetic ordering and phase transitions in three-state Potts model on triangular lattice with various exchange interactions between nearest (J1) and next-nearest (J2) neighbors. The density of states for varying J1 and J2 are calculated. The magnetic structure of the ground state for various J1 and J2 are obtained. The critical temperature are calculated and the order of the phase transition determined. The density of states difference (DOSD) and histogram analysis method are used to investigate the order of the phase transitions. The frustrated regions are determined. It is shown, that for negative J1 the high degeneration of the ground state are in fully frustrated area -1<=J2/abs(J1)<=-0.2. For positive J1 frustration are occurred in area -1<=J2/J1<=-0.5, but only in point J2/J1=-1 the system have a high degeneration and are fully frustrated. The phase diagram of the three-state triangular Potts model are show.