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The Coexistence of Superconductivity and Antiferromagnetism

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Part of the book series: Springer Series in Solid-State Sciences ((SSSOL,volume 52))

Abstract

We present a theory of the coexistence of superconductivity and antiferromagnetism. The diagonal part of the interaction between the magnetic ions and the conduction electrons is included with the electronic kinetic energies, to give new “magnetic Bloch states”, in which electrons of opposite spin are also spatially displaced. This leads to a reduction in the superconducting pairing strength, linear in the exchange strength and the staggered magnetization. Agreement with experiment is good for DyMo6S8 and TbMo6S8.

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References

  1. M. Ishikawa and ø. Fischer: Solid State Commun. 24, 747 (1977)

    Article  ADS  Google Scholar 

  2. M. Ishikawa and J. Muller, ibid. 27, 761 (1978).

    ADS  Google Scholar 

  3. D. E. Moncton, G. Shirane, W. Tomlinson, M. Ishikawa, and O. Fischer: Phys. Rev. Lett. 41, 1133 (1978).

    Article  ADS  Google Scholar 

  4. ø. Fischer: Appl. Phys. 16, 1 (1978).

    Article  ADS  Google Scholar 

  5. A. A. Abrikosov and L. P. Gorvkov: Zh. Eksp. i Teor. Fiz. 39, 1781 (1960).

    Google Scholar 

  6. W. Baltensperger and S. Strässler:Phys. Kondens. Materie 1, 20 (1963).

    Article  Google Scholar 

  7. T. V. Ramakrishnan and C. M. Varma: Phys. Rev. B24, 137 (1981).

    Article  ADS  Google Scholar 

  8. G. Zwicknagl and P. Fulde: Z. Phys. B43, 23 (1981).

    Article  Google Scholar 

  9. A similar approximation is made by K. Machida, K. Nokura and T. Matsubara: Phys. Rev. B22, 2307 (1980)

    Google Scholar 

  10. M. J. Nass, K. Levin and G. S. Grest: Phys. Rev. Lett. 46, 614 (1981)

    Article  ADS  Google Scholar 

  11. Phys. Rev. B25, 4541 (1982). However, these authors start from a BCS Hamiltonian, rather than from (1), and therefore fail to find the correct effect of anti-ferromagnetism on the electron-phonon interaction. Moreover, Nass et al. assume further that the Cooper pairing of an electron is affected only when both k and k + Q are within a BCS cutoff from the Fermi surface.

    Google Scholar 

  12. cf. H. Fröhlich [Proc. Roy. Soc. A215, 291 (195g)]. Note that the electron mass renormalization is determined by g2 + g2 = g2 for isotropic electrons.

    Google Scholar 

  13. W. L. McMillan: Phys. Rev. 167, 331 (1968).

    Article  ADS  Google Scholar 

  14. Machida et al., loc.cit. also find a linear reduction, but only after making the restrictive assumption that Q= 2KF

    Google Scholar 

  15. O. K. Anderson, W. Klose and H. Nohl: Phys. Rev. B17, 1209 (1978).

    ADS  Google Scholar 

  16. J. Ashkenazi, C. G. Kuper and A. Ron: Phys. Rev. B28, 418 (1983).

    Article  MathSciNet  ADS  Google Scholar 

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© 1984 Springer-Verlag Berlin Heidelberg

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Ashkenazi, J., Kuper, C.G., Ron, A. (1984). The Coexistence of Superconductivity and Antiferromagnetism. In: Matsubara, T., Kotani, A. (eds) Superconductivity in Magnetic and Exotic Materials. Springer Series in Solid-State Sciences, vol 52. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-82259-9_9

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  • DOI: https://doi.org/10.1007/978-3-642-82259-9_9

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-82261-2

  • Online ISBN: 978-3-642-82259-9

  • eBook Packages: Springer Book Archive

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