DMRG study of the Berezinskii-Kosterlitz-Thouless transitions of the 2D five-state clock model - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Journal of Statistical Mechanics: Theory and Experiment Année : 2014

DMRG study of the Berezinskii-Kosterlitz-Thouless transitions of the 2D five-state clock model

Christophe Chatelain

Résumé

The two Berezinskii-Kosterlitz-Thouless phase transitions of the two-dimensional 5-state clock model are studied on infinite strips using the DMRG algorithm. Because of the open boundary conditions, the helicity modulus $\Upsilon_2$ is computed by imposing twisted magnetic fields at the two boundaries. Its scaling behavior is in good agreement with the existence of essential singularities with $\sigma=1/2$ at the two transitions. The predicted universal values of $\Upsilon_2$ are shown to be reached in the thermodynamic limit. The fourth-order helicity modulus is observed to display a dip at the high-temperature BKT transition, like the XY model, and shown to take a new universal value at the low-temperature one. Finally, the scaling behavior of magnetization at the low-temperature transition is compatible with $\eta=1/4$.
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Dates et versions

hal-01035449 , version 1 (22-07-2014)
hal-01035449 , version 2 (28-08-2014)
hal-01035449 , version 3 (11-10-2014)

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Christophe Chatelain. DMRG study of the Berezinskii-Kosterlitz-Thouless transitions of the 2D five-state clock model. Journal of Statistical Mechanics: Theory and Experiment, 2014, P11022, pp.12. ⟨10.1088/1742-5468/2014/11/P11022⟩. ⟨hal-01035449v3⟩
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