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Self-consistent treatment of a phase transition in a system with a vector order parameter

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Abstract

The problem of the continuation of the Hartree approximation below the transition temperature is considered for a system with a vector order parameter, In contrast to the case of a scalar order parameter, considered in a previous paper, it is found that a self-consistent and gapless approximation can be constructed in the limit of a very large number of vector components. The results agree with those of the spherical model.

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References

  1. W. E. Masker, S. Marcelja, and R. D. Parks,Phys. Rev. 188:745 (1969); L. Gunther and L. Gruenberg,Solid. State Commun. 10:567 (1972); S. Grossmann, P. H. Richter, and C. Wisseil,Solid State Commun. 11:433 (1972); R. F. Massing and J. W. Wilkins,Phys. Rev. B 7:1890 (1973).

    Google Scholar 

  2. K. K. Murata and S. Doniach,Phys. Rev. Letters 29:285 (1972).

    Google Scholar 

  3. D. J. Amit and M. Zannetti,J. Stat. Phys. (to be published).

  4. R. A. Ferrell and D. J. Scalapino,Phys. Rev. Letters 29:413 (1972).

    Google Scholar 

  5. E. Brezin and D. J. Wallace,Phys. Rev. B 7:1967 (1973).

    Google Scholar 

  6. T. H. Berlin and M. Kac,Phys. Rev. 86:821 (1952).

    Google Scholar 

  7. D. J. Amit and M. Zannetti,J. Stat. Phys. 7:31 (1973).

    Google Scholar 

  8. P. C. Hohenberg and P. C. Martin,Ann. of Phys. 34:291 (1965).

    Google Scholar 

  9. C. De Dominicis, private communication.

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Zannetti, M. Self-consistent treatment of a phase transition in a system with a vector order parameter. J Stat Phys 10, 1–9 (1974). https://doi.org/10.1007/BF01011713

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  • DOI: https://doi.org/10.1007/BF01011713

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