Author:
Frank B.,Macot L.,Bassias K. V.,Danino M.
Abstract
A pair-correlation function ansatz, previously used in the derivation of the Ising model critical exponent η for the square lattice from a criticality equation within the i-δ approximation, is investigated further. Various methods are used to calculate the multispin correlation functions entering the criticality equation. The calculations are extended to the three-dimensional cubic lattices. It is found that the values obtained for η are relatively insensitive to the specific method used. In two dimensions, η takes the values 0.2506 (i-δ method), 0.2471, and 0.2490 (renormalized Hamiltonian methods), thereby remaining within 1.2% of the exact value 1/4. In three dimensions, η ranges from 0.030 to 0.075, being of the same order of magnitude as the series value 0.041 ± 0.01.
Publisher
Canadian Science Publishing
Subject
General Physics and Astronomy
Cited by
2 articles.
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1. CORRELATION IDENTITIES AND APPLICATION;International Journal of Modern Physics B;2002-05-30
2. Formulas for the Chadi-Cohen process;Physical Review B;1990-03-01