English

Nonanalytic correlation length in Ising systems with one surface defect line

Statistical Mechanics 2009-11-07 v1 High Energy Physics - Lattice

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.

Keywords

Cite

@article{arxiv.cond-mat/0110351,
  title  = {Nonanalytic correlation length in Ising systems with one surface defect line},
  author = {A. Hucht},
  journal= {arXiv preprint arXiv:cond-mat/0110351},
  year   = {2009}
}

Comments

18 pages incl. 7 figures, PDF