Carriers that count

An exactly solvable model for superconductivity includes two crucial features of the cuprates and sheds light on unexplained experiments.

Access options

Rent or Buy article

Get time limited or full article access on ReadCube.


All prices are NET prices.

Fig. 1: Phase diagram and superfluid density.


  1. 1.

    Bardeen, J., Cooper, L. N. & Schrieffer, J. R. Phys. Rev. 106, 162–164 (1957).

    ADS  MathSciNet  Article  Google Scholar 

  2. 2.

    Keimer, B., Kivelson, S. A., Norman, M. R., Uchida, S. & Zaanen, J. Nature 518, 179–186 (2015).

    ADS  Article  Google Scholar 

  3. 3.

    Phillips, P. W., Yeo, L. & Huang, E. W. Nat. Phys. (2020).

  4. 4.

    Phillips, P. W. Rev. Mod. Phys. 82, 1719–1742 (2010).

    ADS  Article  Google Scholar 

  5. 5.

    Anderson, P. W. The Theory of Superconductivity in the High-T c Cuprate Superconductors (Princeton Univ. Press, 1997).

  6. 6.

    Zaanen, J. Nature 536, 282–283 (2016).

    ADS  Article  Google Scholar 

  7. 7.

    Chen, S. D. et al. Science 366, 1099–1102 (2019).

    ADS  Article  Google Scholar 

  8. 8.

    Bozovic, I., He, X., Wu, J. & Bollinger, A. T. Nature 536, 309–311 (2016).

    ADS  Article  Google Scholar 

  9. 9.

    Hatsugai, Y. & Kohmoto, M. J. Phys. Soc. Jpn 61, 2056–2069 (1992).

    ADS  Article  Google Scholar 

  10. 10.

    Platé, M. et al. Phys. Rev. Lett. 95, 077001 (2005).

    ADS  Article  Google Scholar 

Download references

Author information



Corresponding author

Correspondence to Jan Zaanen.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Zaanen, J. Carriers that count. Nat. Phys. (2020).

Download citation


Sign up for the Nature Briefing newsletter for a daily update on COVID-19 science.
Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing