Potts models with a defect line
Mathematical Physics
2018-08-16 v4 Statistical Mechanics
math.MP
Probability
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 at temperatures . We also describe how a line of weakened bonds pins the interface of the Potts model on 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 .
Keywords
Cite
@article{arxiv.1706.09130,
title = {Potts models with a defect line},
author = {Sébastien Ott and Yvan Velenik},
journal= {arXiv preprint arXiv:1706.09130},
year = {2018}
}
Comments
Final version, as accepted for publication in Communications in Mathematical Physics. (Includes a few improvements in the presentation compared with the previous version.)