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Critical Exponents of the Diluted Ising Model between Dimensions 2 and 4

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Abstract

Within the massive field-theoretic renormalization-group approach the expressions for the β and γ 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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Authors and Affiliations

  1. Institute for Condensed Matter Physics of the Ukrainian Academy of Sciences, UA-290011, Lviv, Ukraine

    Yu. Holovatch

  2. Chair for Theoretical Physics, Ivan Franko Lviv State University, UA-290005, Lviv, Ukraine

    T. Yavors'kii

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  1. Yu. Holovatch
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Holovatch, Y., Yavors'kii, T. Critical Exponents of the Diluted Ising Model between Dimensions 2 and 4. Journal of Statistical Physics 92, 785–808 (1998). https://doi.org/10.1023/A:1023032307964

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