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Critical exponents of the diluted Ising model between dimensions 2 and 4 | | Yu. Holovatch
; T. Yavors’kii
; | | Date: |
30 Jul 1998 | | Subject: | cond-mat | | Abstract: | 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. | | Source: | arXiv, cond-mat/9807401 | | Services: | Forum | Review | PDF | Favorites | |
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