Phase transition of the six-state clock model observed from the entanglement entropy

Abstract

The Berezinskii-Kosterlitz-Thouless (BKT) transitions of the six-state clock model on the square lattice are investigated by means of the corner-transfer matrix renormalization group method. The classical analogue of the entanglement entropy $S(L,T)$ is calculated for $L$ by $L$ square system up to $L=129$, as a function of temperature $T$. The entropy has a peak at $T=T_{}^{\ast }(L)$, where the temperature depends on both $L$ and boundary conditions. Applying the finite-size scaling to $T_{}^{\ast }(L)$ and assuming the presence of BKT transitions, the transition temperature is estimated to be $T_1^{}=0.70$ and $T_2^{}=0.88$. The obtained results agree with previous analyses. It should be noted that no thermodynamic function is used in this study.

5 pages, 6 figs

References in corpus (3)

• Scaling of entanglement support for Matrix Product States
• Phase diagram of truncated tetrahedral model
• Reentrant disorder-disorder transitions in generalized multicomponent Widom-Rowlinson models

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