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Flattening of single-particle spectra in strongly correlated electron systems and the violation of the Wiedemann-Franz law

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Abstract

The renormalization of the Wiedemann-Franz (WF) ratio in strongly correlated electron systems is analyzed within the Landau quasiparticle picture. We demonstrate that the WF law is violated: (i) at the quantum critical point, where the effective mass diverges, and (ii) beyond a point of fermion condensation, where the single-particle spectrum ∈(p) becomes flat. Results of the analysis are compared with available experimental data.

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References

  1. L. D. Landau, JETP 30, 1058 (1956) [Sov. Phys. JETP 3, 920 (1957)].

    Google Scholar 

  2. L. D. Landau and E. M. Lifshitz, Course of Theoretical Physics, Vol. 5: Statistical Physics, 3rd ed. (Nauka, Moscow, 1976; Addison-Wesley, Reading, MA, 1970).

    Google Scholar 

  3. E. M. Lifshitz and L. P. Pitaevskii, Physical Kinetics (Nauka, Moscow, 1979; Pergamon, Oxford, 1981), p. 398.

    Google Scholar 

  4. N. W. Ashcroft and N. D. Mermin, Solid State Physics (Holt, Rinehart, and Winston, Philadelfia, 1976; Mir, Moscow, 1979).

    Google Scholar 

  5. H. R. Ott, O. Marti, and F. Hulliger, Solid State Commun. 49, 1129 (1984).

    Article  ADS  Google Scholar 

  6. A. Amato, D. Jaccard, D. Walker, et al., J. Magn. Magn. Mater. 63–64, 300 (1987).

    Article  Google Scholar 

  7. S. Kambe, H. Suderow, T. Fukuhama, et al., J. Low Temp. Phys. 117, 101 (1999).

    Article  Google Scholar 

  8. R. T. Syme, M. J. Kelly, and M. Pepper, J. Phys.: Condens. Matter 1, 3375 (1989).

    Article  ADS  Google Scholar 

  9. F. Ronning, R. W. Hill, M. Sutherland, et al., Phys. Rev. Lett. 97, 067005 (2006).

    Google Scholar 

  10. S. Paschen, B. Wand, G. Sparn, et al., Phys. Rev. B 62, 14912 (2000).

    Article  ADS  Google Scholar 

  11. J. Paglione, M. A. Tanatar, D. G. Hawthorn, et al., Phys. Rev. Lett. 97, 106606 (2006).

    Google Scholar 

  12. M. A. Tanatar, J. Paglione, L. Taillefer, and C. Petrovich, Science 316, 1320 (2007).

    Article  ADS  Google Scholar 

  13. R. W. Hill, C. Proust, L. Taillefer, et al., Nature 414, 711 (2001).

    Article  ADS  Google Scholar 

  14. N. Doiron-Leyrand, M. Sutherland, S. Y. Li, et al., Phys. Rev. Lett. 97, 207001 (2006).

    Google Scholar 

  15. P. Coleman, C. Pepin, Q. Si, and R. Ramazashvili, J. Phys.: Condens. Matter 13, R723 (2001).

    Article  ADS  Google Scholar 

  16. P. Coleman and C. Pepin, Physica B (Amsterdam) 312–313, 383 (2002).

    Google Scholar 

  17. D. Podolsky, A. Vishwanath, J. Moore, and S. Sachdev, Phys. Rev. B 75, 014520 (2007).

    Google Scholar 

  18. V. A. Khodel, Pis’ma Zh. Éksp. Teor. Fiz. 86, 832 (2007) [JETP Lett. 86, 721 (2007)]; cond-mat/0709.3653.

    Google Scholar 

  19. K. Behnia, D. Jaccard, and J. Flouquet, J. Phys.: Condens. Matter 16, 5187 (2004).

    Article  ADS  Google Scholar 

  20. A. A. Shashkin, S. V. Kravchenko, V. T. Dolgopolov, and T. M. Klapwijk, Phys. Rev. B 66, 073303 (2002).

    Google Scholar 

  21. V. M. Pudalov, M. E. Gershenson, H. Kojima, et al., Phys. Rev. Lett. 88, 196404 (2002).

    Google Scholar 

  22. A. A. Shashkin, M. Rahimi, S. Anissimova, et al., Phys. Rev. Lett. 91, 046403 (2002).

    Google Scholar 

  23. A. A. Shashkin, A. A. Kapustin, E. V. Deviatov, et al., Phys. Rev. B 76, 241302 (R) (2007); cond-mat/0706.3552.

  24. V. V. Borisov and M. V. Zverev, JETP Lett. 81, 503 (2005).

    Article  ADS  Google Scholar 

  25. V. R. Shaginyan, JETP Lett. 77, 99 (2003); Pis’ma Zh. Éksp. Teor. Fiz. 79, 344 (2004) [JETP Lett. 79, 286 (2004)].

    Article  ADS  Google Scholar 

  26. J. W. Clark, V. A. Khodel, and M. V. Zverev, Phys. Rev. B 71, 012401 (2004).

    Google Scholar 

  27. M. V. Zverev and M. Baldo, JETP 87, 1129 (1998); J. Phys.: Condens. Matter 11, 2059 (1999).

    Article  ADS  Google Scholar 

  28. A. A. Artamonov, V. R. Shaginyan, and Yu. G. Pogorelov, JETP Lett. 68, 942 (1998).

    Article  ADS  Google Scholar 

  29. D. N. Voskresensky, V. A. Khodel, M. V. Zverev, and J. W. Clark, Astrophys. J. Lett. 533, 127 (2000).

    Article  ADS  Google Scholar 

  30. J. Quintanilla and A. J. Schofield, Phys. Rev. B 74, 115126 (2006).

    Google Scholar 

  31. V. A. Khodel and V. R. Shaginyan, JETP Lett. 51, 553 (1990).

    ADS  Google Scholar 

  32. G. E. Volovik, JETP Lett. 53, 222 (1991).

    ADS  Google Scholar 

  33. V. A. Khodel, V. V. Khodel, and V. R. Shaginyan, Phys. Rep. 249, 1 (1994).

    Article  ADS  Google Scholar 

  34. P. Nozières, J. Phys. I 2, 443 (1992).

    Article  Google Scholar 

  35. V. A. Khodel, M. V. Zverev, and V. M. Yakovenko, Phys. Rev. Lett. 95, 236402 (2005).

    Google Scholar 

  36. G. E. Volovik, Springer Lect. Notes Phys. 718, 31 (2007), cond-mat/0601372.

    Article  MathSciNet  Google Scholar 

  37. P. Li, K. Behnia, and R. L. Greene, Phys. Rev. B 75, 0205506 (2007).

    Google Scholar 

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Authors and Affiliations

  1. Russian Research Centre Kurchatov Institute, Moscow, 123182, Russia

    V. A. Khodel & M. V. Zverev

  2. McDonnell Center for Space Science and Department of Physics, Washington University, St. Louis, Missouri, 63130, USA

    V. A. Khodel

  3. Condensed Matter Theory Center and Center for Superconductivity Research, Department of Physics, University of Maryland, College Park, Maryland, 20742-4111, USA

    V. M. Yakovenko

Authors
  1. V. A. Khodel
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  2. V. M. Yakovenko
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  3. M. V. Zverev
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Correspondence to V. A. Khodel.

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Khodel, V.A., Yakovenko, V.M. & Zverev, M.V. Flattening of single-particle spectra in strongly correlated electron systems and the violation of the Wiedemann-Franz law. Jetp Lett. 86, 772–778 (2008). https://doi.org/10.1134/S0021364007240058

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  • DOI: https://doi.org/10.1134/S0021364007240058

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