Tricritical transition in the classical XY model on Kagom\'e lattice   under local anisotropy
  Using mean-field theory and high resolution Monte Carlo simulation technique based on multi-histogram method, we have investigated the critical properties of an antiferromagnetic XY model on the 2D Kagom\'e lattice, with single ion easy-axes anisotropy. The mean-field theory predicts second-order phase transition from disordered to all-in all-out state for any value of anisotropy for this model. However, Monte Carlo simulations result in first order transition for small values of anisotropy which turns to second order with increasing strength of anisotropy, indicating the existence of a tricritical point for this model. The critical exponents, obtained by finite-size scaling methods, show that the transition is in Ising universality class for large values of anisotropy, while the critical behaviour of the system deviates from 2D-$\phi^6$ model near the tricritical point. This suggests the possibility for existence of a new tricritical universality in two-dimensions. 
Farhad Shahbazi, Saba Mortezapour