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Quantum Thermodynamics
Critical properties of the two-dimensional q-state clock model
arXiv
Authors: Zi-Qian Li, Li-Ping Yang, Z. Y. Xie, Hong-Hao Tu, Hai-Jun Liao, T. Xiang
Year
2019
Paper ID
39605
Status
Preprint
Abstract Read
~2 min
Abstract Words
105
Citations
N/A
Abstract
We perform the state-of-the-art tensor network simulations directly in the thermodynamic limit to clarify the critical properties of the q-state clock model on the square lattice. We determine accurately the two phase transition temperatures through the singularity of the classical analog of the entanglement entropy, and provide extensive numerical evidences to show that both transitions are of the Berezinskii-Kosterlitz-Thouless (BKT) type for qge 5 and that the low-energy physics of this model is well described by the mathbb{Z}q-deformed sine-Gordon theory. We also determine the characteristic conformal parameters, especially the compactification radius, that govern the critical properties of the intermediate BKT phase.
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- This paper contributes to the Quantum Simulation research area in the Quantum Articles archive.
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- We perform the state-of-the-art tensor network simulations directly in the thermodynamic limit to clarify the critical properties of the q-state clock model on the square lattice.
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