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

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.