Chen, Jing ORCID: 0000-0003-0538-689X, Liao, Hai-Jun, Xie, Hai-Dong, Han, Xing-Jie, Huang, Rui-Zhen, Cheng, Song, Wei, Zhong-Chao, Xie, Zhi-Yuan and Xiang, Tao ORCID: 0000-0001-5998-7338 (2017). Phase Transition of the q-State Clock Model: Duality and Tensor Renormalization. Chin. Phys. Lett., 34 (5). BRISTOL: IOP PUBLISHING LTD. ISSN 1741-3540

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Abstract

We investigate the critical behavior and the duality property of the ferromagnetic q-state clock model on the square lattice based on the tensor-network formalism. From the entanglement spectra of local tensors defined in the original and dual lattices, we obtain the exact self-dual points for the model with q <= 5 and approximate self-dual points for q >= 6. We calculate accurately the lower and upper critical temperatures for the six-state clock model from the fixed-point tensors determined using the higher-order tensor renormalization group method and compare with other numerical results.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Chen, JingUNSPECIFIEDorcid.org/0000-0003-0538-689XUNSPECIFIED
Liao, Hai-JunUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Xie, Hai-DongUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Han, Xing-JieUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Huang, Rui-ZhenUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Cheng, SongUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Wei, Zhong-ChaoUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Xie, Zhi-YuanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Xiang, TaoUNSPECIFIEDorcid.org/0000-0001-5998-7338UNSPECIFIED
URN: urn:nbn:de:hbz:38-231792
DOI: 10.1088/0256-307X/34/5/050503
Journal or Publication Title: Chin. Phys. Lett.
Volume: 34
Number: 5
Date: 2017
Publisher: IOP PUBLISHING LTD
Place of Publication: BRISTOL
ISSN: 1741-3540
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
LONG-RANGE ORDER; 2-DIMENSIONAL SYSTEMS; 2 DIMENSIONS; METASTABILITYMultiple languages
Physics, MultidisciplinaryMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/23179

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