Mechanism for Enhanced Disordered Screening in Strongly Correlated Metals: Local vs. Nonlocal Effects

  • Eric C. Andrade
  • Eduardo Miranda
  • Vladimir Dobrosavljević
Original Paper

Abstract

We study the low temperature transport characteristics of a disordered metal in the presence of electron–electron interactions. We compare Hartree–Fock and dynamical mean field theory (DMFT) calculations to investigate the scattering processes of quasiparticles off the screened disorder potential and show that both the local and non-local (coming from long-ranged Friedel oscillations) contributions to the renormalized disorder potential are suppressed in strongly renormalized Fermi liquids. Our results provide one more example of the power of DMFT to include higher order terms left out by weak-coupling theories.

Keywords

Disorder Strong correlations Perturbation theory Dynamical mean-field theory 

Notes

Acknowledgements

This research was supported by the DFG through FOR 960 and GRK 1621 (ECA), by FAPESP through grant 07/57630-5 (EM), CNPq through grant 304311/2010-3 (EM), and by the NSF through grant DMR-0542026 (VD). The authors thank Lev Gor’kov for pointing out the role of vertex corrections in the Holstein model.

References

  1. 1.
    Lee, P.A., Ramakrishnan, T.V.: Rev. Mod. Phys. 57, 287 (1985) ADSCrossRefGoogle Scholar
  2. 2.
    Punnoose, A., Finkel’stein, A.M.: Science 310, 289 (2005) ADSCrossRefGoogle Scholar
  3. 3.
    Denteneer, P.J.H., Scalettar, R.T., Trivedi, N.: Phys. Rev. Lett. 83, 4610 (1999) ADSCrossRefGoogle Scholar
  4. 4.
    Chiesa, S., Chakraborty, P.B., Pickett, W.E., Scalettar, R.T.: Phys. Rev. Lett. 101, 086401 (2008) ADSCrossRefGoogle Scholar
  5. 5.
    Georges, A., Kotliar, G., Krauth, W., Rozenberg, M.J.: Rev. Mod. Phys. 68, 13 (1996) MathSciNetADSCrossRefGoogle Scholar
  6. 6.
    Tanasković, D., Dobrosavljević, V., Abrahams, E., Kotliar, G.: Phys. Rev. Lett. 91, 066603 (2003) ADSCrossRefGoogle Scholar
  7. 7.
    Dobrosavljević, V., Kotliar, G.: Phys. Rev. Lett. 78, 3943 (1997) ADSCrossRefGoogle Scholar
  8. 8.
    Miranda, E., Dobrosavljević, V.: Rep. Prog. Phys. 68, 2337 (2005) ADSCrossRefGoogle Scholar
  9. 9.
    Andrade, E.C., Miranda, E., Dobrosavljević, V.: Physica B 404, 3167 (2009) ADSCrossRefGoogle Scholar
  10. 10.
    Miranda, E., Dobrosavljević, V.: Phys. Rev. Lett. 86, 264 (2001) ADSCrossRefGoogle Scholar
  11. 11.
    Andrade, E.C., Miranda, E., Dobrosavljević , V.: Phys. Rev. Lett. 102, 206403 (2009) ADSCrossRefGoogle Scholar
  12. 12.
    Andrade, E.C., Miranda, E., Dobrosavljević , V.: Phys. Rev. Lett. 104, 236401 (2010) ADSCrossRefGoogle Scholar
  13. 13.
    Herbut, I.F.: Phys. Rev. B 63, 113102 (2001) ADSCrossRefGoogle Scholar
  14. 14.
    Heidarian, D., Trivedi, N.: Phys. Rev. Lett. 93, 126401 (2004) ADSCrossRefGoogle Scholar
  15. 15.
    Mahan, G.D.: Many-Particle Physics, 3rd edn. Plenum, New York (2000) Google Scholar
  16. 16.
    Kotliar, G., Ruckenstein, A.E.: Phys. Rev. Lett. 57, 1362 (1986) MathSciNetADSCrossRefGoogle Scholar
  17. 17.
    Brinkman, W.F., Rice, T.M.: Phys. Rev. B 2, 4302 (1970) ADSCrossRefGoogle Scholar
  18. 18.
    Simion, G.E., Giuliani, G.F.: Phys. Rev. B 72, 045127 (2005) ADSCrossRefGoogle Scholar
  19. 19.
    Müller-Hartmann, E.: Z. Phys. B 76, 211 (1989) ADSCrossRefGoogle Scholar
  20. 20.
    Vollhardt, D.: Rev. Mod. Phys. 56, 99 (1984) ADSCrossRefGoogle Scholar
  21. 21.
    Hewson, A.C.: The Kondo Problem to Heavy Fermions, 1st edn. Cambridge University Press, Cambridge (1993) CrossRefGoogle Scholar
  22. 22.
    Meyer, D., Hewson, A.C., Bulla, R.: Phys. Rev. Lett. 89, 196401 (2002) ADSCrossRefGoogle Scholar
  23. 23.
    Vojta, M.: Adv. Phys. 58, 699 (2009) ADSCrossRefGoogle Scholar
  24. 24.
    Littlewood, P.: Nat. Mater. 10, 726 (2011) ADSCrossRefGoogle Scholar
  25. 25.
    Poccia, N., et al.: Nat. Mater. 10, 733 (2011) ADSCrossRefGoogle Scholar
  26. 26.
    Dobrosavljević, V.: In: Abrahams, E. (ed.) 50 Years of Anderson Localization. World Scientific, Singapore (2010). arXiv:1003.3215v1 Google Scholar

Copyright information

© Springer Science+Business Media, LLC 2012

Authors and Affiliations

  • Eric C. Andrade
    • 1
  • Eduardo Miranda
    • 2
  • Vladimir Dobrosavljević
    • 3
  1. 1.Institut für Theoretische PhysikTechnische Universität DresdenDresdenGermany
  2. 2.Instituto de Física Gleb WataghinUnicampCampinasBrazil
  3. 3.Department of Physics and National High Magnetic Field LaboratoryFlorida State UniversityTallahasseeUSA

Personalised recommendations