Five-loop \sqrtε-expansions for random Ising model and marginal spin dimensionality for cubic systems

Details Five-loop \sqrtε-expansions for random Ising model and marginal spin dimensionality for cubic systems Five-loop \sqrtε-expansions for random Ising model and marginal spin dimensionality for cubic systems

1998-03-31

arxiv.org/abs/cond-mat/9803388v1

Phys. Lett. A, 230 (1997) 105-110

Physics

Condensed Matter

Statistical Mechanics

9 pages, TeX, no figures

Scientific paper

10.1016/S0375-9601(97)00225-9

The \sqrt\epsilon-expansions for critical exponents of the weakly-disordered
Ising model are calculated up to the five-loop order and found to possess
coefficients with irregular signs and values. The estimate n_c = 2.855 for the
marginal spin dimensionality of the cubic model is obtained by the Pade-Borel
resummation of corresponding five-loop \epsilon-expansion.

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