Critical Ising lines of the d=2 Ashkin-Teller model

1997/03/01 by G. Kamieniarz, Piotr Kozłowski, P. Kozlowski +2 · 3 citations
Economics, Econometrics and Finance · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Random Matrices and Applications #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.1103/physreve.55.3724

published as Phys.Rev. E55, 3724 (1997) · RevTex, 4 pages, two figures

openalex publication_date 1997/03/01 · arxiv created 1998/03/23 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The universal critical point ratio Q is exploited to determine positions of the critical Ising transition lines on the phase diagram of the Ashkin-Teller model on the square lattice. A leading-order expansion of the ratio Q in the presence of a nonvanishing thermal field is found from finite-size scaling and the corresponding expression is fitted by the accurate perturbative transfer-matrix data calculations for the L\ifmmode×\else\texttimes\fiL square clusters with L\ensuremath\leqslant9.

Cited by

• The anisotropic Ashkin–Teller model: a renormalization group study
• Cumulant ratios and their scaling functions for Ising systems in a strip geometry
• Exact relations between damage spreading and thermodynamic functions for theN-color Ashkin–Teller model