Anisotropic simple-cubic Ising lattice: extended phenomenological renormalization-group treatment

Abstract

Using transfer-matrix extended phenomenological renormalization-group methods [M.A.Yurishchev, Nucl. Phys. B (Proc. Suppl.) 83-84, 727 (2000); hep-lat/9908019; J. Exp. Theor. Phys. 91, 332 (2000); cond-mat/0108002] the improved estimates for the critical temperature of spin-1/2 Ising model on a simple-cubic lattice with partly anisotropic coupling strengths $\vec{J}=(J^{\prime },J^{\prime },J)$ are obtained. Universality of both fundamental critical exponents $y_t$ and $y_h$ is confirmed. We show also that the critical finite-size scaling amplitude ratios $A_{{\chi }^{(4)}}{A}_{\kappa }/A_{\chi }^2$, $A_{{\kappa }^{{}^{\prime \prime }}}/A_{\chi }$, and $A_{{\kappa }^{(4)}}/A_{{\chi }^{(4)}}$ are independent of the lattice anisotropy parameter $\Delta =J^{\prime }/J$.

11 pages, no figures; latex