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

2003/12/21 by M. A. Yurishchev, Yurishchev, M. A.
Physics and Astronomy · #Complex Network Analysis Techniques #FOS: Physical sciences #Opinion Dynamics and Social Influence #Statistical Mechanics (cond-mat.stat-mech) #Theoretical and Computational Physics #cond-mat.stat-mech

paper · pdf · doi:10.48550/arxiv.cond-mat/0312555

11 pages, no figures; latex

arxiv created 2003/12/21 · openalex publication_date 2003/12/21 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

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 J=(J',J',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_χ⁽⁴⁾A_κ/A_χ², A_κ^''/A_χ, and A_κ⁽⁴⁾/A_χ⁽⁴⁾ are independent of the lattice anisotropy parameter Δ=J'/J.

Related

• Anisotropic Ising model in d+s dimensions
• Critical Finite-Size-Scaling Amplitudes of a Fully Anisotropic Three-Dimensional Ising Model
• Calculation of The Critical Temperature for Anisotropic Two-Layer Ising Model Using The Transfer Matrix Method
• Critical behaviors as functions of the bare-mass
• On bond anisotropy for the ising model through the geometry of numbers