Entanglement-Entropy Study of Phase Transitions in Six-State Clock Model

R. Krčmára, A. Gendiara, T. Nishinob aInstitute of Physics, Slovak Academy of Sciences, Dúbravská c. 9, 845 11, Bratislava, Slovakia bDepartment of Physics, Graduate School of Science, Kobe University, Kobe 657-8501, Japan

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The Berezinskii-Kosterlitz-Thouless transitions of the six-state clock model on the square lattice are investigated by means of the corner-transfer matrix renormalization group method. A classical analog of the entanglement entropy S(L,T) is calculated for L×L square system up to L=129, as a function of temperature T. The entropy exhibits a peak at T=T*(L), where the temperature depends on both L and the boundary conditions. Applying the finite-size scaling to T*(L) and assuming presence of the Berezinskii-Kosterlitz-Thouless transitions, the two distinct phase-transition temperatures are estimated to be T1=0.70 and T2=0.88. The results are in agreement with earlier studies. It should be noted that no thermodynamic functions have been used in this study.

DOI:10.12693/APhysPolA.137.598 topics: magnetization in spin systems, phase transitions, entanglement-entropy analysis