Nonanalytic correlation length in Ising systems with one surface defect line
arXiv:cond-mat/0110351 · doi:10.1016/0378-4371(92)90188-V
Abstract
A two-dimensional Ising system with ferromagnetic coupling and one defect line at distance L from the surface is solved exactly using Pfaffians. The system shows a singularity in the surface correlation length at a temperature T_s which is smaller than the transition temperature T_c of the bulk. Numerical studies using the transfer matrix technique suggest that this singularity is also present in an Ising system with two defect lines at distance L.
18 pages incl. 7 figures, PDF