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Heavy Fermions and Superconductivity in the Kondo-Lattice Model with Phonons

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Physical Properties of Nanosystems
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Abstract

We study the Kondo lattice model with an additional Einstein phonon mode coupled via a Holstein term to the electrons within the dynamical mean-field theory at T = 0. Asimpurity solver we use the numerical renormalization group. We present results for the paramagnetic case showing the anticipated heavy Fermion physics, including direct evidence for the appearance of a large Fermi surface for antiferromagnetic exchange interaction.By introducing a Nambu notation, we find that increasing electron-phonon coupling favorssuperconductivity, which however is not BCS like but shows additional structures in the density of states and the gap function.

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References

  1. G.R. Stewart, Rev. Mod. Phys. 56, 755 (1984)

    Article  ADS  Google Scholar 

  2. N. Grewe, F. Steglich, (North-Holland, Amsterdam, 1991)

    Google Scholar 

  3. G.R. Stewart, Rev. Mod. Phys. 73, 797 (2001)

    Article  ADS  Google Scholar 

  4. H. v. Löhneysen, A. Rosch, M. Vojta, P. Wölfle, Rev. Mod. Phys. 79, 1015 (2007)

    Google Scholar 

  5. M. Imada, A. Fujimori, Y. Tokura, Rev. Mod. Phys. 70, 1039 (1998)

    Article  ADS  Google Scholar 

  6. S. Ovchinnikov, Phase Trans. 36, 15 (1991)

    Article  Google Scholar 

  7. A. Sharma, W. Nolting, J. Phys.: Condens. Matter 18(31), 7337 (2006). DOI 10.1088/0953-8984/18/31/026

    Google Scholar 

  8. H. Ohno, Science 281(5379), 951 (1998). DOI 10.1126/science.281.5379.951

    Google Scholar 

  9. T. Jungwirth, J. Sinova, J. Masek, J. Kucera, A.H. Macdonald, Rev. Mod. Phys. 78(3), 809 (2006). DOI 10.1103/RevModPhys.78.809

    Article  ADS  Google Scholar 

  10. A.C. Hewson, The Kondo Problem to Heavy Fermions. Cambridge Studies in Magnetism (Cambridge University Press, Cambridge, 1993)

    Google Scholar 

  11. J. Otsuki, H. Kusunose, P. Werner, Y. Kuramoto, J. Phys. Soc. Jpn. 76(11), 114707 (2007). DOI 10.1143/JPSJ.76.114707

    Article  ADS  Google Scholar 

  12. R. Bulla, T.A. Costi, T. Pruschke, Rev. Mod. Phys. 80, 395 (2008)

    Article  ADS  Google Scholar 

  13. J.W. Allen, R.M. Martin, Phys. Rev. Lett. 49, 1106 (1982)

    Article  ADS  Google Scholar 

  14. A. Georges, G. Kotliar, W. Krauth, M.J. Rozenberg, Rev. Mod. Phys. 68, 13 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  15. K.G. Wilson, Rev. Mod. Phys. 47, 773 (1975)

    Article  ADS  Google Scholar 

  16. M. Raczkowski, P. Zhang, F.F. Assaad, T. Pruschke, M. Jarrell, Phys. Rev. B 81(5), 054444 (2010). DOI 10.1103/PhysRevB.81.054444

    Google Scholar 

  17. A. Freyn, S. Florens, Phys. Rev. B 79(12), 121102 (2009). DOI 10.1103/PhysRevB. 79.121102

    Google Scholar 

  18. J.K. Freericks, M. Jarrell, D.J. Scalapino, Phys. Rev. B 48(9), 6302 (1993). DOI 10.1103/PhysRevB.48.6302

    Google Scholar 

  19. J. Bauer, A. Hewson, N. Dupuis, Dmft-nrg for superconductivity in the attractive hubbard model (2009). ArXiv:0901.1760

    Google Scholar 

  20. T. Pruschke, R. Bulla, M. Jarrell, Phys. Rev. B 61, 12799 (2000)

    Article  ADS  Google Scholar 

  21. J. Lee, K. Fujita, A. Schmidt, C. Kim, H. Eisaki, S. Uchida, J. Davis, Science 325(5944), 1099 (2009). URL http://www.sciencemag.org/cgi/content/abstract/325/5944/1099. 10.1126/science.1176369

    Google Scholar 

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Correspondence to T. Pruschke .

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Bodensiek, O., Žitko, R., Peters, R., Pruschke, T. (2011). Heavy Fermions and Superconductivity in the Kondo-Lattice Model with Phonons. In: Bonca, J., Kruchinin, S. (eds) Physical Properties of Nanosystems. NATO Science for Peace and Security Series B: Physics and Biophysics. Springer, Dordrecht. https://doi.org/10.1007/978-94-007-0044-4_19

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  • DOI: https://doi.org/10.1007/978-94-007-0044-4_19

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  • Online ISBN: 978-94-007-0044-4

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