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Residual discrete symmetry of the five-state clock model
KAS Korea.
QCD Labs, COMP Centre of Excellence, Department of Applied Physics, Aalto University, P.O. Box 13500, FI-00076 Aalto, Finland.
Umeå University, Faculty of Science and Technology, Department of Physics.
Physics Research Division and Department of Physics, Sungkyunkwan University, Suwon 440-746, Korea .
2013 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, E-ISSN 1550-2376, Vol. 88, no 1, article id 012125Article in journal (Refereed) Published
Abstract [en]

It is well known that the q-state clock model can exhibit a Kosterlitz-Thouless (KT) transition if q is equal to or greater than a certain threshold, which has been believed to be five. However, recent numerical studies indicate that helicity modulus does not vanish in the high-temperature phase of the five-state clock model as predicted by the KT scenario. By performing Monte Carlo calculations under the fluctuating twist boundary condition, we show that it is because the five-state clock model does not have the fully continuous U(1) symmetry even in the high-temperature phase while the six-state clock model does. We suggest that the upper transition of the five-state clock model is actually a weaker cousin of the KT transition so that it is q≥6 that exhibits the genuine KT behavior

Place, publisher, year, edition, pages
2013. Vol. 88, no 1, article id 012125
Keywords [en]
Phase transistions, Kostelitz-Thouless, clock-models, helicity modulus
National Category
Physical Sciences
Research subject
Theoretical Physics
Identifiers
URN: urn:nbn:se:umu:diva-81890DOI: 10.1103/PhysRevE.88.012125ISI: 000322084800002PubMedID: 23944432OAI: oai:DiVA.org:umu-81890DiVA, id: diva2:658694
Available from: 2013-10-22 Created: 2013-10-22 Last updated: 2018-06-08Bibliographically approved

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Minnhagen, Petter

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