Phase diagram of the XY Vector Blume–Emery–Griffiths model on a Kagome lattice by Monte Carlo simulation

Abstract

We present a study of the XY vectorial generalization of the Blume–Emery–Griffiths model on the Kagome lattice. Its thermodynamical properties are analyzed for different values of the Hamiltonian parameters by employing extensive and up to date Monte Carlo simulation methods consisting of hybrid algorithms. The results show a phase diagram with Berezinskii–Kosterlitz–Thouless (BKT) transitions, BKT endpoints, and isolated critical or tricritical points. We also compare the phase diagram with previous works on square and triangular lattices and we note that they are qualitatively similar. In addition, we observed that the ratio of the temperature of BKT endpoints to the corresponding BKT temperature of the pure system is a quantity almost independent of the lattice topology.