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Short-Range Berezinskii-Kosterlitz-Thouless Phase Characterization for the q-State Clock Model
- Source :
- Entropy, Vol 23, Iss 1019, p 1019 (2021), Entropy, Volume 23, Issue 8
- Publication Year :
- 2021
- Publisher :
- MDPI AG, 2021.
-
Abstract
- 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.
- Subjects :
- Physics
Entropy (statistical thermodynamics)
Berezinskii-Kosterlitz-Thouless transition
Science
QC1-999
Ergodicity
Phase (waves)
q-state clock model
General Physics and Astronomy
Astrophysics
Classical XY model
Vortex state
Vortex
QB460-466
Paramagnetism
Condensed Matter::Superconductivity
Quantum mechanics
ergodicity
acoustics
entropy
Spin-½
Subjects
Details
- ISSN :
- 10994300
- Volume :
- 23
- Database :
- OpenAIRE
- Journal :
- Entropy
- Accession number :
- edsair.doi.dedup.....698a523853e47ca60a4c4c7e0f607816