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Logarithmic corrections for dilute uniaxial ferromagnets at the critical dimension

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Abstract

The leading logarithmic corrections to the critical behavior of a dilute uniaxial (Ising) ferromagnet in the disordered phase are derived using renormalization group methods. The values of the exponents in the logarithmic terms differ from those given by previous authors.

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References

  1. H.-O. Heuer,J. Phys. A 26:L333, L341 (1993).

    Google Scholar 

  2. A. Larkin and D. Khmel'nitski,Zh. Eksp. Teor. Fiz. 56 (1969) [Sov. Phys. JETP 29:1123 (1969)].

    Google Scholar 

  3. A. Aharony,Phys. Rev. B 13:2092 (1976).

    Google Scholar 

  4. H. G. Shuster,Z. Phys. B 27:251 (1977).

    Google Scholar 

  5. R. Liebmann, B. Schaub, and H. G. Schuster,Z. Phys. B 37:69 (1980).

    Google Scholar 

  6. B. N. Shalaev,Zh. Eksp. Teor. Fiz. 73:2301 (1977) [Sow. Phys. JETP 46:1204 (1977)].

    Google Scholar 

  7. G. Grinstein and A. Luther,Phys. Rev. B 13:1329 (1976).

    Google Scholar 

  8. K. De'Bell and D. J. W. Geldart,Phys. Rev. B 32:4763 (1985).

    Google Scholar 

  9. D. Khmel'nitski,Zh. Eksp. Teor. Fiz. 68:1960 (1975) [Sow. Phys. JETP 41:981 (1976)].

    Google Scholar 

  10. C. Jayaprakash and H. J. Katz,Phys. Rev. B 16:3987 (1977).

    Google Scholar 

  11. E. Brezin and J. Zinn-Justin,Phys. Rev. B 13:251 (1976).

    Google Scholar 

  12. D. J. W. Geldart, K. De'Bell, J. Cook, and M. J. Laubitz,Phys. Rev. B 35: 8876 (1987).

    Google Scholar 

  13. N. M. Fujiki, K. De'Bell, and D. J. W. Geldart,Phys. Rev. B 36:8512 (1987).

    Google Scholar 

  14. D. J. W. Geldart, P. Hargraves, N. M. Fujiki, and R. A. Dunlap,Phys. Rev. Lett. 62:2728 (1989).

    Google Scholar 

  15. G. Ahlers, A. Kornblit, and H. J. Guggenheim,Phys. Rev. Lett. 34:1227 (1975).

    Google Scholar 

  16. L. M. Holmes, J. Als-Nielson, and H. J. Guggenheim,Phys. Rev. B 12: 180 (1975).

    Google Scholar 

  17. K. Kjaer, J. Als-Nielson, I. Laursen, and F. Krebslarson,J. Phys. Condensed Matter 1:5743 (1989).

    Google Scholar 

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Geldart, D.J.W., De'Bell, K. Logarithmic corrections for dilute uniaxial ferromagnets at the critical dimension. J Stat Phys 73, 409–414 (1993). https://doi.org/10.1007/BF01052769

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  • DOI: https://doi.org/10.1007/BF01052769

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