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Phase transition of q-state clock models on heptagonal lattices
Umeå universitet, Teknisk-naturvetenskaplig fakultet, Fysik.
Umeå universitet, Teknisk-naturvetenskaplig fakultet, Fysik.
Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan.
BK21 Physics Research Division and Department of Energy Science, Sungkyunkwan University, Suwon 440-746, Korea.
2009 (engelsk)Inngår i: Physical Review E. Statistical, Nonlinear, and Soft Matter Physics: Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, ISSN 1063-651X, E-ISSN 1095-3787, Vol. 80, nr 1, s. 011133-Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

We study the q-state clock models on heptagonal lattices assigned on a negatively curved surface. We show that the system exhibits three classes of equilibrium phases; in between ordered and disordered phases, an intermediate phase characterized by a diverging susceptibility with no magnetic order is observed at every q ≥ 2. The persistence of the third phase for all q is in contrast with the disappearance of the counterpart phase in a planar system for small q, which indicates the significance of nonvanishing surface-volume ratio that is peculiar in the heptagonal lattice. Analytic arguments based on Ginzburg-Landau theory and generalized Cayley trees make clear that the two-stage transition in the present system is attributed to an energy gap of spin-wave excitations and strong boundary-spin contributions. We further demonstrate that boundary effects breaks the mean-field character in the bulk region, which establishes the consistency with results of clock models on boundary-free hyperbolic lattices.

sted, utgiver, år, opplag, sider
2009. Vol. 80, nr 1, s. 011133-
Emneord [en]
clock model, curvature
HSV kategori
Forskningsprogram
teoretisk fysik
Identifikatorer
URN: urn:nbn:se:umu:diva-27691DOI: 10.1103/PhysRevE.80.011133OAI: oai:DiVA.org:umu-27691DiVA, id: diva2:277107
Tilgjengelig fra: 2009-11-23 Laget: 2009-11-16 Sist oppdatert: 2018-06-08bibliografisk kontrollert

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