Phase transitions of the five-state clock model on the square lattice

Abstract

Using the tensor renormalization group method based on the higher-order singular value decomposition,we have studied the phase transitions of the five-state clock model on the square lattice.The temperature dependence of the specific heat indicates the system has two phase transitions, as verified clearly in the correlation function. By investigating the magnetic susceptibility, we can only obtain the upper critical temperature as Tc2 = 0.9565(7). From the fixed-point tensor, we locate the transition temperatures at Tc1 = 0.9029(1) and Tc2 = 0.9520(1), consistent with the MC and the DMRG results.

arXiv comment5 pages, 7 figures

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Cited by in corpus (10)

• Tensor lattice field theory with applications to the renormalization group and quantum computing
• Critical properties of the two-dimensional $q$-state clock model
• Phase transition of four-dimensional Ising model with higher-order tensor renormalization group
• Accurate simulation of q-state clock model
• Logarithmic finite-size scaling correction to the leading Fisher zeros in the p-state clock model: A higher-order tensor renormalization group study
• Monte Carlo study of duality and the Berezinskii-Kosterlitz-Thouless phase transitions of the two-dimensional $q$-state clock model in flow representations
• Clock model interpolation and symmetry breaking in O(2) models
• Variational corner transfer matrix renormalization group method for classical statistical models
• Cross derivative: a universal and efficient method for phase transitions in classical spin models
• Tensor network calculation of the logarithmic correction exponent in the XY model