Monte Carlo Study of Planar Rotator Model with Weak Dzyaloshinsky-Moriya Interaction |
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| Authors: | SUN Yun-Zhou LIU Hui-Ping YI Lin |
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| Affiliation: | Department of Physics and State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China Department of Physics and State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China Department of Physics and State Key Laboratory of Laser Technology, Huazhong University of Science and Technology, Wuhan 430074, China |
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| Abstract: | With the help of an improvement Monte Carlo method, the Berezinskii-Kosterlitz-Thouless phase transition arising in two-dimensional planar rotator model with weak Dzyaloshinsky-Moriya (DM) interaction is investigated. The effects of the DM interaction on specific heat, susceptibility, and magnetization are simulated. The critical temperature of transitions is determined by the so-called Binder cumulant and the susceptibility of finite-size scaling. We find that the chiral Z2 symmetry reduced by the DM interactions plays an important role in a two-dimensional XY spin system,typically, the critical temperature is sensitive to weak DM spin couplings. |
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| Keywords: | Monte Carlo method Berezinskii-Kosterlitz-Thouless phase transition Dzyaloshinsky-Moriya interaction XY model |
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