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Article

Short-Range Berezinskii-Kosterlitz-Thouless Phase Characterization for the q-State Clock Model

1
Department of Physics, Universidad Técnica Federico Santa María, Vaparaíso 2390123, Chile
2
Center for the Development of Nanoscience and Nanotechnology, Santiago 8320000, Chile
3
Department of Physics, Universidad de La Frontera, Casilla 54-D, Temuco 4811230, Chile
*
Author to whom correspondence should be addressed.
Academic Editor: José A. Tenreiro Machado
Entropy 2021, 23(8), 1019; https://doi.org/10.3390/e23081019
Received: 28 June 2021 / Revised: 5 August 2021 / Accepted: 5 August 2021 / Published: 7 August 2021
(This article belongs to the Special Issue Entropy: The Scientific Tool of the 21st Century)
Beyond the usual ferromagnetic and paramagnetic phases present in spin systems, the usual q-state clock model presents an intermediate vortex state when the number of possible orientations q for the system is greater than or equal to 5. Such vortex states give rise to the Berezinskii-Kosterlitz-Thouless (BKT) phase present up to the XY model in the limit q. Based on information theory, we present here an analysis of the classical order parameters plus new short-range parameters defined here. Thus, we show that even using the first nearest neighbors spin-spin correlations only, it is possible to distinguish the two transitions presented by this system for q greater than or equal to 5. Moreover, the appearance at relatively low temperature and disappearance of the BKT phase at a rather fix higher temperature is univocally determined by the short-range interactions recognized by the information content of classical and new parameters. View Full-Text
Keywords: q-state clock model; entropy; Berezinskii-Kosterlitz-Thouless transition; ergodicity q-state clock model; entropy; Berezinskii-Kosterlitz-Thouless transition; ergodicity
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MDPI and ACS Style

Negrete, O.A.; Vargas, P.; Peña, F.J.; Saravia, G.; Vogel, E.E. Short-Range Berezinskii-Kosterlitz-Thouless Phase Characterization for the q-State Clock Model. Entropy 2021, 23, 1019. https://doi.org/10.3390/e23081019

AMA Style

Negrete OA, Vargas P, Peña FJ, Saravia G, Vogel EE. Short-Range Berezinskii-Kosterlitz-Thouless Phase Characterization for the q-State Clock Model. Entropy. 2021; 23(8):1019. https://doi.org/10.3390/e23081019

Chicago/Turabian Style

Negrete, Oscar A., Patricio Vargas, Francisco J. Peña, Gonzalo Saravia, and Eugenio E. Vogel. 2021. "Short-Range Berezinskii-Kosterlitz-Thouless Phase Characterization for the q-State Clock Model" Entropy 23, no. 8: 1019. https://doi.org/10.3390/e23081019

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