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Potts models with a defect line

Published in Communications in Mathematical Physics. 2018, vol. 362, no. 1, p. 55-106
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 modelIsing modelFK percolationRandom-cluster modelInterfaceLocalizationInverse correlation lengthCoupling constantsPinningCoarse-grainingOrnstein-Zernike asymptotics
arXiv: 1706.09130
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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 https://archive-ouverte.unige.ch/unige:95766

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Deposited on : 2017-07-31

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