Nonanalytic correlation length in Ising systems with one surface defect line
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.
- Publication:
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arXiv e-prints
- Pub Date:
- October 2001
- DOI:
- 10.48550/arXiv.cond-mat/0110351
- arXiv:
- arXiv:cond-mat/0110351
- Bibcode:
- 2001cond.mat.10351H
- Keywords:
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- Condensed Matter - Statistical Mechanics;
- High Energy Physics - Lattice
- E-Print:
- 18 pages incl. 7 figures, PDF