Hyperuniversality of Fully Anisotropic Three-Dimensional Ising Model

TL;DR

This paper demonstrates the hyperuniversality of finite-size scaling amplitudes in the fully anisotropic 3D Ising model, revealing universal ratios and geometric means across different directions.

Contribution

It introduces a transfer-matrix method analysis of finite-size scaling amplitudes in the anisotropic 3D Ising model, highlighting their universal ratios and geometric means.

Findings

Finite-size scaling amplitudes are universal ratios.

Directional geometric means of amplitudes are universal.

Analysis confirms hyperuniversality in anisotropic 3D Ising model.

Abstract

For the fully anisotropic simple-cubic Ising lattice, the critical finite-size scaling amplitudes of both the spin-spin and energy-energy inverse correlation lengths and the singular part of the reduced free-energy density are calculated by the transfer-matrix method and a finite-size scaling for cyclic L x L x oo clusters with L=3 and 4. Analysis of the data obtained shows that the ratios and the directional geometric means of above amplitudes are universal.