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Scientific article
English

Potts models with a defect line

Published inCommunications in Mathematical Physics, vol. 362, no. 1, p. 55-106
Publication date2018
Abstract

We provide a detailed analysis of the correlation length in the direction parallel to a line of modified coupling constants in the ferromagnetic Potts model on Z^d at temperatures T>T_c. We also describe how a line of weakened bonds pins the interface of the Potts model on Z^2 below its critical temperature. These results are obtained by extending the analysis by Friedli, Ioffe and Velenik from Bernoulli percolation to FK-percolation of arbitrary parameter q>1.

Keywords
  • Potts model
  • Ising model
  • FK percolation
  • Random-cluster model
  • Interface
  • Localization
  • Inverse correlation length
  • Coupling constants
  • Pinning
  • Coarse-graining
  • Ornstein-Zernike asymptotics
Classification
  • arxiv : math-ph
Citation (ISO format)
OTT, Sébastien, VELENIK, Yvan. Potts models with a defect line. In: Communications in Mathematical Physics, 2018, vol. 362, n° 1, p. 55–106. doi: 10.1007/s00220-018-3197-6
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Article (Submitted version)
accessLevelPublic
Identifiers
ISSN of the journal1432-0916
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