Critical Finite-Size-Scaling Amplitudes of a Fully Anisotropic Three-Dimensional Ising Model

M. A. Yurishchev

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arXiv · cond-mat/9612219

Critical Finite-Size-Scaling Amplitudes of a Fully Anisotropic Three-Dimensional Ising Model

M. A. Yurishchev

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Abstract

A fully anisotropic simple-cubic Ising lattice in the geometry of periodic cylinders $n\times n\times\infty$ is investigated by the transfer-matrix finite-size scaling method. In addition to the previously obtained critical amplitudes of the inverse correlation lengths and singular part of the free energy [M. A. Yurishchev, Phys. Rev. B 50, 13 533 (1994)], the amplitudes of the usual (``linear'') and nonlinear susceptibilities and the amplitude of the second derivative of the spin-spin inverse correlation length with respect to the external field are calculated. The behavior of critical amplitude combinations (which, in accordance with the Privman-Fisher equations, do not contain in their composition the nonuniversal metric coefficients and geometry prefactor) are studied as a function of the interaction anisotropy parameters.

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M. A. Yurishchev. 1995-03-20. Critical Finite-Size-Scaling Amplitudes of a Fully Anisotropic Three-Dimensional Ising Model. https://arxiv.org/abs/cond-mat/9612219

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