Potts models with a defect line

Ott, Sébastien; Velenik, Yvan

doi:10.1007/s00220-018-3197-6

Scientific article

English

Potts models with a defect line

ContributorsOtt, Sébastien; Velenik, Yvan

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

Affiliation entities

Faculté des sciences / Section de mathématiques

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

Article (Submitted version)

Identifiers

PID : unige:95766
DOI : 10.1007/s00220-018-3197-6
arXiv : 1706.09130

Journal ISSN1432-0916

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Potts models with a defect line

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