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

Authors
  • Chatelain, Christophe
Type
Preprint
Publication Date
Oct 12, 2014
Submission Date
Jul 22, 2014
Identifiers
DOI: 10.1088/1742-5468/2014/11/P11022
Source
arXiv
License
Yellow
External links

Abstract

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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