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Scientific Article
unige:95766 
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Potts models with a defect line |
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| Authors | ||
| 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 model — Ising model — FK percolation — Random-cluster model — Interface — Localization — Inverse correlation length — Coupling constants — Pinning — Coarse-graining — Ornstein-Zernike asymptotics | |
| Identifiers | arXiv: 1706.09130 | |
| Full text | ||
| Structures | ||
| 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 https://archive-ouverte.unige.ch/unige:95766 |
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