The quantum X-Y model of interacting spins on square lattices is simulated by a loop-cluster algorithm.It is shown that the method can be used to simulate the systems efficiently at low temperatures for lattices as la...The quantum X-Y model of interacting spins on square lattices is simulated by a loop-cluster algorithm.It is shown that the method can be used to simulate the systems efficiently at low temperatures for lattices as large as 32×32×200.展开更多
We propose a variant version of Wolffs cluster algorithm,which may be extended to SU(N)×SU(N)dural model,and test it in 2-diniensiontil SU(2)×SU(2)chiral model.The results show that the new method can effici...We propose a variant version of Wolffs cluster algorithm,which may be extended to SU(N)×SU(N)dural model,and test it in 2-diniensiontil SU(2)×SU(2)chiral model.The results show that the new method can efficiently reduce the critical slowing down in SU(2)×SU(2)chiral model.展开更多
We performed a Monte Carlo simulation of the three-state(Q=3)vector Potts model on a 2-D random lattice.It is shown that there is a peak in the specific heat but no thermal hysterisis of the energy that corresponds to...We performed a Monte Carlo simulation of the three-state(Q=3)vector Potts model on a 2-D random lattice.It is shown that there is a peak in the specific heat but no thermal hysterisis of the energy that corresponds to a high-order phase transition(a second-order one).The result agrees with the analytical calculation and the qualitative picture obtained for the same model on the square lattice.展开更多
基金the National Natural Science Foundation of China and Zhejiang Province.
文摘The quantum X-Y model of interacting spins on square lattices is simulated by a loop-cluster algorithm.It is shown that the method can be used to simulate the systems efficiently at low temperatures for lattices as large as 32×32×200.
基金Supported by the National Natural Science Foundation of China。
文摘We propose a variant version of Wolffs cluster algorithm,which may be extended to SU(N)×SU(N)dural model,and test it in 2-diniensiontil SU(2)×SU(2)chiral model.The results show that the new method can efficiently reduce the critical slowing down in SU(2)×SU(2)chiral model.
基金Supported by the National Natural Science Foundation of China。
文摘We performed a Monte Carlo simulation of the three-state(Q=3)vector Potts model on a 2-D random lattice.It is shown that there is a peak in the specific heat but no thermal hysterisis of the energy that corresponds to a high-order phase transition(a second-order one).The result agrees with the analytical calculation and the qualitative picture obtained for the same model on the square lattice.
