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

1985/04/21 by L Turban, L. Turban · 3 citations
Mathematics · Physics and Astronomy · #Quantum many-body systems #Random Matrices and Applications #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1088/0305-4470/18/6/012

published as J. Phys. A 18 (1985) L325 · Old paper, for archiving. 5 pages, 4 figures, IOP macro, epsf

openalex publication_date 1985/04/21 · arxiv created 2001/06/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

Using conformal invariance, the author shows that the nonuniversal 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/ 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 .

Cited by

• Critical behaviour near multiple junctions and dirty surfaces in the two-dimensional Ising model
• Conformal profiles in the Hilhorst-van Leeuwen model
• Critical phenomena at perfect and non-perfect surfaces

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