Critical Analyses of the q-State Clock-Like Phase Transition

摘要

This study adopts the Monte Carlo simulation method to investigate a coupled XY model on two-dimensional triangular lattices. The simulation reveals a q-state clock-like phase transition in addition to the original XY phase transition. Analyzing the spin histograms exposes that the strong on-site coupling tends to lock the difference between the phase variables of the two XY order parameters and generates an additional phase transition. The novel discrete q-state symmetry arising from the coupling term is demonstrated to join the continuous symmetry of the model in this investigation.