Abstract： A new combination Monte Carlo (MC) technique of the classical Metropolis algorithm and the Swendsen--Wang cluster algorithm is proposed. Upon application of the MC technique, the thermodynamic properties of a generalized two-dimensional XY model with chiral Dzyaloshinski--Moriya (DM) interactions are simulated for various DM interactions. The specific heat, order parameter and the integrated correlation time are simulated. We find that there exists a high-temperature Kosterlitz--Thouless-type phase transition related to strong DM spin chiralities. As the DM strength increases the critical temperature of the Kosterlitz--Thouless phase transition increases. It is shown that the combination algorithm is faster than the Metropolis algorithms.
LIU Hui-Ping;SUN Yun-Zhou;YI Lin. New Monte Carlo Simulations to a Generalized XY Model[J]. 中国物理快报, 2006, 23(2): 316-319.
LIU Hui-Ping, SUN Yun-Zhou, YI Lin. New Monte Carlo Simulations to a Generalized XY Model. Chin. Phys. Lett., 2006, 23(2): 316-319.
2006, Vol. 23 
