title: Tensor renormalization group study of classical XY model on the square lattice.
abstract: 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.
authors.affiliation: Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, P. R. China.
authors.forename: J F
authors.initials: JF
authors.lastname: Yu
authors.affiliation: Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, P. R. China.
authors.forename: Z Y
authors.initials: ZY
authors.lastname: Xie
authors.affiliation: Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242, USA.
authors.forename: Y
authors.initials: Y
authors.lastname: Meurice
authors.affiliation: Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242, USA and Theoretical Physics Department, Fermi National Accelerator Laboratory, Batavia, Illinois 60510, USA.
authors.forename: Yuzhi
authors.initials: Y
authors.lastname: Liu
authors.affiliation: Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242, USA.
authors.forename: A
authors.initials: A
authors.lastname: Denbleyker
authors.affiliation: Department of Physics and Astronomy, The University of Iowa, Iowa City, Iowa 52242, USA.
authors.forename: Haiyuan
authors.initials: H
authors.lastname: Zou
authors.affiliation: Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, P. R. China.
authors.forename: M P
authors.initials: MP
authors.lastname: Qin
authors.affiliation: Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, P. R. China.
authors.forename: J
authors.initials: J
authors.lastname: Chen
authors.affiliation: Institute of Physics, Chinese Academy of Sciences, P.O. Box 603, Beijing 100190, P. R. China.
authors.forename: T
authors.initials: T
authors.lastname: Xiang