TY - JOUR
T1 - Tensor renormalization group study of classical X y model on the square lattice
AU - Yu, J. F.
AU - Xie, Z. Y.
AU - Meurice, Y.
AU - Liu, Yuzhi
AU - Denbleyker, A.
AU - Zou, Haiyuan
AU - Qin, M. P.
AU - Chen, J.
AU - Xiang, T.
PY - 2014/1/22
Y1 - 2014/1/22
N2 - Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the thermodynamic properties of the continuous XY model on the square lattice. The temperature dependence of the free energy, the internal energy, and the specific heat agree with the Monte Carlo calculations. From the field dependence of the magnetic susceptibility, we find the Kosterlitz-Thouless transition temperature to be 0.8921(19), consistent with the Monte Carlo as well as the high temperature series expansion results. At the transition temperature, the critical exponent δ is estimated as 14.5, close to the analytic value by Kosterlitz.
AB - Using the tensor renormalization group method based on the higher-order singular value decomposition, we have studied the thermodynamic properties of the continuous XY model on the square lattice. The temperature dependence of the free energy, the internal energy, and the specific heat agree with the Monte Carlo calculations. From the field dependence of the magnetic susceptibility, we find the Kosterlitz-Thouless transition temperature to be 0.8921(19), consistent with the Monte Carlo as well as the high temperature series expansion results. At the transition temperature, the critical exponent δ is estimated as 14.5, close to the analytic value by Kosterlitz.
UR - https://www.scopus.com/pages/publications/84894674392
U2 - 10.1103/PhysRevE.89.013308
DO - 10.1103/PhysRevE.89.013308
M3 - 文章
AN - SCOPUS:84894674392
SN - 1539-3755
VL - 89
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
IS - 1
M1 - 013308
ER -