Residual discrete symmetry of the five-state clock model
2013 (English)In: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 88, no 1, 012125- p.Article in journal (Refereed) Published
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, 012125- p.
Phase transistions, Kostelitz-Thouless, clock-models, helicity modulus
Research subject Theoretical Physics
IdentifiersURN: urn:nbn:se:umu:diva-81890DOI: 10.1103/PhysRevE.88.012125OAI: oai:DiVA.org:umu-81890DiVA: diva2:658694