Sökning: onr:"swepub:oai:DiVA.org:kth-32317" >
Phase transition of...
Phase transition of q-state clock models on heptagonal lattices
-
- Seung Ki, Baek, 1979- (författare)
- Umeå universitet,Institutionen för fysik
-
- Minnhagen, Petter (författare)
- Umeå universitet,Institutionen för fysik
-
- Shima, Hiroyuki (författare)
- Department of Applied Physics, Graduate School of Engineering, Hokkaido University, Sapporo 060-8628, Japan
-
visa fler...
-
- Kim, Beom Jun (författare)
- KTH,Beräkningsbiologi, CB,BK21 Physics Research Division and Department of Energy Science, Sungkyunkwan University, Suwon 440-746, Korea
-
visa färre...
-
(creator_code:org_t)
- 2009
- 2009
- Engelska.
-
Ingår i: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. - 1539-3755. ; 80:1, s. 011133-
- Relaterad länk:
-
https://umu.diva-por... (primary) (Raw object)
-
visa fler...
-
https://urn.kb.se/re...
-
https://doi.org/10.1...
-
https://urn.kb.se/re...
-
visa färre...
Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences (hsv//eng)
- NATURVETENSKAP -- Fysik -- Den kondenserade materiens fysik (hsv//swe)
- NATURAL SCIENCES -- Physical Sciences -- Condensed Matter Physics (hsv//eng)
Nyckelord
- ZERO-FIELD SUSCEPTIBILITY
- CAYLEY TREE
- ISING-MODEL
- 2-DIMENSIONAL SYSTEMS
- THERMODYNAMIC LIMIT
- NEGATIVE-CURVATURE
- POTTS-MODEL
- SPIN
- PSEUDOSPHERE
- BEHAVIOR
- Physics
- Fysik
- Critical phenomena (phase transitions)
- teoretisk fysik
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
Hitta via bibliotek
Till lärosätets databas