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Goldstone mode singularities and equation of state of an isotropic magnet

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Zeitschrift für Physik B Condensed Matter

Abstract

Static properties of an isotropic magnet are calculated in the whole critical region including the magnetization curve. The method proposed is a resummation of renormalized perturbation theory without use of recursion relations. This is possible because only special diagrams or subdiagrams show infrared divergencies at the magnetization curve due to Goldstone modes. The arguments given are heavily based on Ward identities. The resulting perturbation theory is well behaved in the total critical region and exhibits explicitely the form of the Goldstone mode singularities at the magnetization curve. The equation of state is calculated including two-loop contribution. Resulting effective exponents are then correct in orderε in the whole critical region. In various limits agreement with known results is found. A one-loop calculation of the correlation functions is also given.

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References

  1. Patashinskii, A.Z., Pokrovskii, V.L.: Sov. Phys. JETP37, 733 (1973)

    Google Scholar 

  2. Brezin, E., Wallace, D.J.: Phys. Rev. B7, 1967 (1973)

    Google Scholar 

  3. Brezin, E., Wallace, D.J., Wilson, K.G.: Phys. Rev. B7, 232 (1973)

    Google Scholar 

  4. Wallace, D.J., Zia, R.K.P.: Phys. Rev. B12, 5340 (1975)

    Google Scholar 

  5. Nelson, D.R.: Phys. Rev. B13, 2222 (1976)

    Google Scholar 

  6. Schäfer, L., Witten, T.A.: in preparation

  7. Brezin, E., LeGillou, J.C., Zinn-Justin, J.: Field theoretical approach to critical phenomena, in: Phase Transitions and Critical Phenomena, Vol. 6, C. Domb and M.S. Green, editors, New York: Academic 1977

    Google Scholar 

  8. Horner, H.: Z. Physik B23, 183 (1976)

    Google Scholar 

  9. Amit, D., Goldschmidt, Y.: preprint

  10. Brezin, E., LeGillou, J.C., Zinn-Justin, J.: Phys. Rev. D8, 434 (1973)

    Google Scholar 

  11. Riedel, E.K., Wegner, F.J.: Phys. Rev. B9, 294 (1974)

    Google Scholar 

  12. Mazenko, G.F.: Phys. Rev. B14, 3933 (1976)

    Google Scholar 

  13. Schofield, P., Litster, J.D., Ho, J.T.: Phys. Rev. Lett.23, 1098 (1969)

    Google Scholar 

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Authors and Affiliations

  1. Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 19, D-6900, Heidelberg 1, Germany

    Lothar Schäfer & Heinz Horner

Authors
  1. Lothar Schäfer
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  2. Heinz Horner
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Schäfer, L., Horner, H. Goldstone mode singularities and equation of state of an isotropic magnet. Z Physik B 29, 251–263 (1978). https://doi.org/10.1007/BF01321190

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  • DOI: https://doi.org/10.1007/BF01321190

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