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Phase transition of q-state clock models on heptagonal lattices
KTH, Skolan för datavetenskap och kommunikation (CSC), Beräkningsbiologi, CB.
2009 (Engelska)Ingår i: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, Vol. 80, nr 1, s. 011133-Artikel i tidskrift (Refereegranskat) 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 break the mean-field character in the bulk region, which establishes the consistency with results of clock models on boundary-free hyperbolic lattices.

Ort, förlag, år, upplaga, sidor
2009. Vol. 80, nr 1, s. 011133-
Nyckelord [en]
ZERO-FIELD SUSCEPTIBILITY, CAYLEY TREE, ISING-MODEL, 2-DIMENSIONAL SYSTEMS, THERMODYNAMIC LIMIT, NEGATIVE-CURVATURE, POTTS-MODEL, SPIN, PSEUDOSPHERE, BEHAVIOR
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URN: urn:nbn:se:kth:diva-32317DOI: 10.1103/PhysRevE.80.011133ISI: 000268616300045Scopus ID: 2-s2.0-68949103544OAI: oai:DiVA.org:kth-32317DiVA, id: diva2:410029
Forskningsfinansiär
Vetenskapsrådet, 621-2002-4135
Anmärkning
QC 20110412Tillgänglig från: 2011-04-12 Skapad: 2011-04-12 Senast uppdaterad: 2011-04-12Bibliografiskt granskad

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Minnhagen, PetterKim, Beom Jun
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