Skip to main content
SpringerLink
Log in

Comparison Between the f-Electron and Conduction-Electron Density of States in the Falicov-Kimball Model at Low Temperature

  • Original Paper
  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

The spinless Falicov-Kimball model is one of the simplest models of many-body physics. While the conduction-electron density of states is temperature independent in the normal state, the f -electron density of states is strongly temperature dependent—it has an orthogonality catastrophe singularity in the metallic phase and is gapped in the insulating phase. The question we address here is whether the spectral gap is the same for both electron species as T → 0. We find strong evidence to indicate that the answer is affirmative.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9

Similar content being viewed by others

References

  1. Falicov, L.M., Kimball, J.: Simple model for semiconductor-metal transitions: SmB6 and transition-metal oxides. Phys. Rev. Lett. 22, 997–999 (1969). https://doi.org/10.1103/PhysRevLett.22.997

    Article  ADS  Google Scholar 

  2. Brandt, U., Mielsch, C.: Thermodynamics and correlation functions of the Falicov-Kimball model in large dimensions. Z. Phy. B: Condes. Matt. Phys. 75, 365–370 (1989). https://doi.org/10.1007/BF01321824

    Article  Google Scholar 

  3. Freericks, J.K., Zlatić, V.: Exact dynamical mean field theory of the Falicov Kimball model. Rev. Mod. Phys. 75, 1333–1382 (2003). https://doi.org/10.1103/RevModPhys.75.1333

    Article  ADS  Google Scholar 

  4. Pakhira, N., Shvaika, A.M., Freericks, J.K.: X-ray photoemission spectroscopy in the Falicov-Kimball model. Phys. Rev. B. 99, 125137 (2019). https://doi.org/10.1103/PhysRevB.99.125137

    Article  ADS  Google Scholar 

  5. Shvaika, A.M., Freericks, J.K.: Exact solution of a variety of x-ray probes in the Falicov-Kimball model with dynamical mean-field theory. Condens. Matt. Phys. 15, 1–12 (2012). https://doi.org/10.5488/CMP.15.43701

    Google Scholar 

  6. Möller, G., Ruckenstein, A.E., Schmitt-Rink, S.: Transfer of spectral weight in an exactly solvable model of strongly correlated electrons in infinite dimensions. Phys. Rev. B 46, 7427–7432 (1992). https://doi.org/10.1103/PhysRevB.46.7427

    Article  ADS  Google Scholar 

  7. Si, Q., Kotliar, G., Georges, A.: Falicov-Kimball model and the breaking of fermi-liquid theory in infinite dimensions. Phys. Rev. B 46, 1261–1264 (1992). https://doi.org/10.1103/PhysRevB.46.1261

    Article  ADS  Google Scholar 

  8. Anders, F.B., Czycholl, G.: X-ray singularities in the f -electron spectral function of the Falicov-Kimball model. Phys. Rev. B 71, 125,101 (2005). https://doi.org/10.1103/PhysRevB.71.125101

    Article  Google Scholar 

  9. Shvaika, A.M., Freericks, J.K.: F-electron spectral function of the Falicov-Kimball model and the Wiener-Hopf sum equation approach. Cond. Mat. Phys. 11, 425–442 (2008). https://doi.org/10.5488/CMP.11.3.425

    Google Scholar 

  10. White, S.R.: Spectral weight function for the two-dimensional Hubbard model. Phys. Rev. B 44, 4670–4673 (1991). https://doi.org/10.1103/PhysRevB.44.4670

    Article  ADS  Google Scholar 

  11. McCoy, B., Wu, T.: The two-dimensional ising model. Harvard University Press, Harvard (1973)

    Book  Google Scholar 

  12. Brandt, U., Urbanek, M.P.: The f-electron spectrum of the spinless Falicov-Kimball model in large dimensions. Z. Phys. B: Conds. Matt. Phys. 89(3), 297–303 (1992). https://doi.org/10.1007/BF01318160

    Article  Google Scholar 

  13. Freericks, J.K., Turkowski, V.M., Zlatić, V.: F-electron spectral function of the Falicov-Kimball model in infinite dimensions: The half-filled case. Phys. Rev. B. 71, 115111–1-12 (2005). https://doi.org/10.1103/PhysRevB.71.115111

    Article  Google Scholar 

Download references

Acknowledgments

We would like to thank A. M. Shvaika for valuable conversations and suggestions.

Funding

This work was supported by the Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering under Contract No. DE-SC0019126. J. K. F. was also supported by the McDevitt bequest at Georgetown.

Author information

Authors and Affiliations

  1. Department of Physics, Georgetown University, 37th and O Sts. NW, Washington, DC, 20057, USA

    R. D. Nesselrodt, J. Canfield & J. K. Freericks

Authors
  1. R. D. Nesselrodt
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. J. Canfield
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. J. K. Freericks
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to R. D. Nesselrodt.

Ethics declarations

Conflict of Interest

The authors declare that they have no conflict of interest.

Additional information

Publisher’s Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nesselrodt, R.D., Canfield, J. & Freericks, J.K. Comparison Between the f-Electron and Conduction-Electron Density of States in the Falicov-Kimball Model at Low Temperature. J Supercond Nov Magn 33, 2419–2425 (2020). https://doi.org/10.1007/s10948-019-05400-5

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-019-05400-5

Keywords

Search

Navigation