Monte Carlo simulation of the q-state clock model on a two-dimensional random lattice

Abstract

We performed numerical simulation of the q-state clock model on a two-dimensional random lattice. The average energy per spin, the specific heat, susceptibility and magnetization were calculated. We found that for q=4, there was a peak in the specific heat, with corresponds to a phase transition point. For q=5 and q=6, two peaks in the specific heat were found which indicate that the system has two phase transition points. The results obtained on the random lattice were consistent with those obtained on a square lattice.