Conformal invariance and linear defects in the two-dimensional Ising model
Statistical Mechanics
2007-05-23 v1
Abstract
Using conformal invariance, we show that the non-universal exponent eta_0 associated with the decay of correlations along a defect line of modified bonds in the square-lattice Ising model is related to the amplitude A_0=xi_n/n of the correlation length \xi_n(K_c) at the bulk critical coupling K_c, on a strip with width n, periodic boundary conditions and two equidistant defect lines along the strip, through A_0=(\pi\eta_0)^{-1}.
Cite
@article{arxiv.cond-mat/0106596,
title = {Conformal invariance and linear defects in the two-dimensional Ising model},
author = {L. Turban},
journal= {arXiv preprint arXiv:cond-mat/0106596},
year = {2007}
}
Comments
Old paper, for archiving. 5 pages, 4 figures, IOP macro, epsf