Critical exponents of the diluted Ising model between dimensions 2 and 4

Details Critical exponents of the diluted Ising model between dimensions 2 and 4 Critical exponents of the diluted Ising model between dimensions 2 and 4

1998-07-30

arxiv.org/abs/cond-mat/9807401v1

Physics

Condensed Matter

25 pages, latex, 1 latex picture, 5 eps-figures included

Scientific paper

Within the massive field theoretical renormalization group approach the expressions for the beta- and gamma-functions of the anisotropic mn-vector model are obtained for general space dimension d in three-loop approximation. Resumming corresponding asymptotic series, critical exponents for the case of the weakly diluted quenched Ising model (m=1, n=0), as well as estimates for the marginal order parameter component number m_c of the weakly diluted quenched m-vector model are calculated as functions of d in the region 2 =< d <4. Conclusions concerning the effectiveness of different resummation techniques are drawn.

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