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arXiv 2003-12-21 0 views

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

Yurishchev, M. A.

Original · EN

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 yₜ and yₕ is confirmed. We show also that the critical finite-size scaling amplitude ratios Aᵪ⁽⁴⁾Aκ/Aχ², Aκ''/Aχ, and Aκ⁽⁴⁾/Aᵪ⁽⁴⁾ are independent of the lattice anisotropy parameter Δ=J'/J.

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