Skip to main content
Log in

Quasiperiodicity and Valence Fluctuation in the Spin-1/2 Falicov–Kimball Model

  • Published:
Journal of Low Temperature Physics Aims and scope Submit manuscript

Abstract

We study the spin-1/2 Falicov–Kimball model with conduction and localized f electrons on the Penrose lattice using the real-space dynamical mean-field theory. By changing the f electron level, the f electron density at each site changes continuously, in contrast to periodic systems with first-order valence transitions. In the intermediate valence regime, the local f electron number strongly depends on a wider range of the Penrose structure surrounding its lattice site, in spite of the local interaction between the conduction and f electrons. The temperature dependence of the magnetic response is also discussed.

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

Access this article

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

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5

Similar content being viewed by others

References

  1. D. Shechtman, I. Blech, D. Gratias, J.W. Cahn, Phys. Rev. Lett. 53, 1951 (1984)

    Article  ADS  Google Scholar 

  2. K. Deguchi, S. Matsukawa, N.K. Sato, T. Hattori, K. Ishida, H. Takakura, T. Ishimasa, Nat. Mater. 11(12), 1013 (2012)

    Article  ADS  Google Scholar 

  3. S. Matsukawa, K. Tanaka, M. Nakayama, K. Deguchi, K. Imura, H. Takakura, S. Kashimoto, T. Ishimasa, N.K. Sato, J. Phys. Soc. Jpn. 83(3), 034705 (2014)

    Article  ADS  Google Scholar 

  4. K. Deguchi, M. Nakayama, S. Matsukawa, K. Imura, K. Tanaka, T. Ishimasa, N.K. Sato, J. Phys. Soc. Jpn. 84(2), 023705 (2015)

    Article  ADS  Google Scholar 

  5. S. Watanabe, K. Miyake, J. Phys. Soc. Jpn. 82(8), 083704 (2013)

    Article  ADS  Google Scholar 

  6. S. Watanabe, K. Miyake, J. Phys.: Conf. Ser. 592(1), 012087 (2015)

    Google Scholar 

  7. E.C. Andrade, A. Jagannathan, E. Miranda, M. Vojta, V. Dobrosavljević, Phys. Rev. Lett. 115, 036403 (2015)

    Article  ADS  Google Scholar 

  8. J. Otsuki, H. Kusunose, J. Phys. Soc. Jpn. 85(7), 073712 (2016)

    Article  ADS  Google Scholar 

  9. N. Takemori, A. Koga, J. Phys. Soc. Jpn. 84(2), 023701 (2015)

    Article  ADS  Google Scholar 

  10. S. Takemura, N. Takemori, A. Koga, Phys. Rev. B 91, 165114 (2015)

    Article  ADS  Google Scholar 

  11. R. Shinzaki, J. Nasu, A. Koga, J. Phys. Soc. Jpn. 85(11), 114706 (2016)

    Article  ADS  Google Scholar 

  12. S. Sakai, N. Takemori, A. Koga, R. Arita, Phys. Rev. B 95, 024509 (2017)

    Article  ADS  Google Scholar 

  13. L.M. Falicov, J.C. Kimball, Phys. Rev. Lett. 22, 997 (1969)

    Article  ADS  Google Scholar 

  14. W. Chung, J.K. Freericks, Phys. Rev. B 57, 11955 (1998)

    Article  ADS  Google Scholar 

  15. J.K. Freericks, V. Zlatić, Phys. Rev. B 58, 322 (1998)

    Article  ADS  Google Scholar 

  16. J.K. Freericks, V. Zlatić, Rev. Mod. Phys. 75, 1333 (2003)

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  18. T. Pruschke, M. Jarrell, J. Freericks, Adv. Phys. 44(2), 187 (1995)

    Article  ADS  Google Scholar 

  19. E. Müller-Hartmann, Z. Phys. B Condens. Matter 74(4), 507 (1989)

    Article  ADS  Google Scholar 

  20. W. Metzner, D. Vollhardt, Phys. Rev. Lett. 62, 324 (1989)

    Article  ADS  Google Scholar 

  21. E. Gull, A.J. Millis, A.I. Lichtenstein, A.N. Rubtsov, M. Troyer, P. Werner, Rev. Mod. Phys. 83, 349 (2011)

    Article  ADS  Google Scholar 

  22. R. Shinzaki, J. Nasu, A. Koga, J. Phys.: Conf. Ser. 809(1), 012022 (2017)

    Google Scholar 

Download references

Acknowledgements

This work is supported by Grant-in-Aid for Scientific Research from JSPS, KAKENHI Grant Nos. JP16K17747(J.N.) and JP17K05536 (A.K.). Parts of the numerical calculations were performed in the supercomputing systems in ISSP, the University of Tokyo.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Akihisa Koga.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Nasu, J., Shinzaki, R. & Koga, A. Quasiperiodicity and Valence Fluctuation in the Spin-1/2 Falicov–Kimball Model. J Low Temp Phys 196, 155–162 (2019). https://doi.org/10.1007/s10909-018-02127-w

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10909-018-02127-w

Keywords

Navigation