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 general...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 ehiralities. 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.展开更多
基金Supported by the Natural Science Foundation of Hubei Province under Grant No 2003ABA004. We are indebted to Professor Wang Jian-Sheng at Department of Computational Science, National University of Singapore, for stimulating discussions.
文摘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 ehiralities. 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.
