Finite-size scaling and corrections in the Ising model with Brascamp-Kunz boundary conditions

2001/03/15 by Wolfhard Janke, W. Janke, Ralph Kenna +1 · 1 citation
Materials Science · Mathematics · Physics and Astronomy · #Material Dynamics and Properties #Stochastic processes and statistical mechanics #Theoretical and Computational Physics #cond-mat.stat-mech #hep-lat

paper · pdf · doi:10.1103/physrevb.65.064110

published as Phys.Rev. B65 (2002) 064110 · 15 pages

arxiv created 2001/03/15 · openalex publication_date 2002/01/24 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/01

Abstract

The Ising model in two dimensions with the special boundary conditions of Brascamp and Kunz is analyzed. Leading and subdominant scaling behavior of the Fisher zeros are determined exactly. The exact finite-size scaling, with corrections, of the specific heat is determined both at critical and effective critical (pseudocritical) points. The shift exponents associated with the scaling of these effective critical points are not the same as the inverse correlation length critical exponent. All corrections to scaling are analytic.

Citations

• Quantum critical phenomena

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