Conformal invariance and linear defects in the two-dimensional Ising model

Details Conformal invariance and linear defects in the two-dimensional Ising model Conformal invariance and linear defects in the two-dimensional Ising model

2001-06-28

arxiv.org/abs/cond-mat/0106596v1

J. Phys. A 18 (1985) L325

Physics

Condensed Matter

Statistical Mechanics

Old paper, for archiving. 5 pages, 4 figures, IOP macro, epsf

Scientific paper

10.1088/0305-4470/18/6/012

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}.

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