Abstract
With the help of an improvement Monte Carlo method, theBerezinskii–Kosterlitz–Thouless phase transition arising intwo-dimensional planar rotator model with weakDzyaloshinsky–Moriya (DM) interaction is investigated. The effectsof the DM interaction on specific heat, susceptibility, andmagnetization are simulated. The critical temperature oftransitions is determined by the so-called Bindercumulant and the susceptibility of finite-size scaling. We findthat the chiral Z2 symmetry reduced by the DM interactionsplays an important role in a two-dimensional XY spin system,typically, the critical temperature is sensitive to weak DM spincouplings.
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