# Groupe de Physique Statistique

## Equipe 106, Institut Jean Lamour

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### Articles dans des revues à comité de lecture

 DMRG study of the Berezinskii-Kosterlitz-Thouless transitions of the 2D 5-state clock model Chatelain C. J. Stat. Mech. (2014) P11022 DOI : 10.1088/1742-5468/2014/11/P11022 ArXiv : arxiv:1407.5955 [PDF] HAL : hal-01035449 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 low-temperature BKT transition, like the XY model. Finally, the scaling behavior of magnetization at the low temperature transition is compatible with $\eta=1/4$.