The critical Ising lines of the d=2 Ashkin-Teller model

Details The critical Ising lines of the d=2 Ashkin-Teller model The critical Ising lines of the d=2 Ashkin-Teller model

1998-03-23

arxiv.org/abs/cond-mat/9803277v1

Phys.Rev. E55, 3724 (1997)

Physics

Condensed Matter

Statistical Mechanics

RevTex, 4 pages, two figures

Scientific paper

10.1103/PhysRevE.55.3724

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 (AT) model on the square lattice. A leading-order expansion of the ratio $Q$ in the presence of a non-vanishing thermal field is found from finite-size scaling and the corresponding expression is fitted to the accurate perturbative transfer-matrix data calculations for the $L\times L$ square clusters with $L\leq 9$.

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