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ZhETF, Vol. 126, No. 3, p. 619 (September 2004)
(English translation - JETP, Vol. 99, No. 3, p. 539, September 2004 available online at www.springer.com )

UNIVERSALITY IN THE PARTIALLY ANISOTROPIC THREE-DIMENSIONAL ISING LATTICE
Yurishchev M.A.

Received: March 16, 2004

PACS: 05.50.+q, 05.70.Jk, 64.60.Fr, 75.10.Hk

DJVU (67.2K) PDF (224.1K)

Using transfer-matrix extended phenomenological renormalization-group methods, we study the critical properties of the spin-1/2 Ising model on a simple-cubic lattice with partly anisotropic coupling strengths {\vec J}=(J',J',J). The universality of both fundamental critical exponents yt and yh is confirmed. It is shown that the critical finite-size scaling amplitude ratios U=Aχ(4)Aκ/Aχ2, Y1=Aκ''/Aχ, and Y2=Aκ(4)/Aχ(4) are independent of the lattice anisotropy parameter Δ=J'/J. For the Y2 invariant of the three-dimensional Ising universality class, we give the first quantitative estimate Y_2\approx 2.013 (shape L\times L\times\infty, periodic boundary conditions in both transverse directions).

 
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