Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Gapped itinerant spin excitations account for missing entropy in the hidden-order state of URu2Si2

Abstract

Many correlated electron materials, such as high-temperature superconductors1, geometrically frustrated oxides2 and low-dimensional magnets3,4, are still objects of fruitful study because of the unique properties that arise owing to poorly understood many-body effects. Heavy-fermion metals5—materials that have high effective electron masses due to those effects—represent a class of materials with exotic properties, ranging from unusual magnetism, unconventional superconductivity and ‘hidden’ order parameters6. The heavy-fermion superconductor URu2Si2 has held the attention of physicists for the past two decades owing to the presence of a ‘hidden-order’ phase below 17.5 K. Neutron scattering measurements indicate that the ordered moment is 0.03μB, much too small to account for the large heat-capacity anomaly at 17.5 K. We present recent neutron scattering experiments that unveil a new piece of this puzzle—the spin-excitation spectrum above 17.5 K exhibits well-correlated, itinerant-like spin excitations up to at least 10 meV, emanating from incommensurate wavevectors. The large entropy change associated with the presence of an energy gap in the excitations explains the reduction in the electronic specific heat through the transition.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1: Inelastic neutron scattering of URu2Si2.
Figure 2: Itinerant spin excitations in URu2Si2.
Figure 3: Evolution of inelastic scattering in URu2Si2.
Figure 4: Reciprocal space map of the commensurate and incommensurate scattering in URu2Si2.
Figure 5: Correlations with features in the specific heat.

Similar content being viewed by others

References

  1. Dagotto, E. Correlated electrons in high temperature superconductors. Rev. Mod. Phys. 66, 763–840 (1994).

    Article  ADS  Google Scholar 

  2. Greedan, J. E. Geometrically frustrated materials. J. Mater. Chem. 11, 37–53 (2000).

    Article  Google Scholar 

  3. Affleck, I. Quantum spin chains and the Haldane gap. J. Phys. Condens. Matter 1, 3047–3072 (1989).

    Article  ADS  Google Scholar 

  4. Dagotto, E. & Rice, T. M. Surprises on the way from one- to two-dimensional quantum magnets: The ladder materials. Science 271, 618–623 (1996).

    Article  ADS  Google Scholar 

  5. Fisk, Z. et al. Heavy-electron metals—new highly correlated states of matter. Science 239, 33–42 (1988).

    Article  ADS  Google Scholar 

  6. Tripathi, V., Chandra, P. & Coleman, P. Itinerancy and hidden order in URu2Si2 . J. Phys. Condens. Matter 17, 5285–5311 (2005).

    Article  ADS  Google Scholar 

  7. Silhanek, A. V. et al. Quantum critical 5f electrons avoid singularities in U(Ru,Rh)2Si2 . Phys. Rev. Lett. 95, 026403 (2005).

    Article  ADS  Google Scholar 

  8. Mineev, V. P. & Samokhin, K. V. de Haas van Alphen effect in metals without an inversion center. Phys. Rev. B 72, 014432 (2005).

    Article  ADS  Google Scholar 

  9. Chandra, P., Coleman, P., Mydosh, J. A. & Tripathi, V. Hidden orbital order in the heavy fermion metal URu2Si2 . Nature 417, 831–834 (2002).

    Article  ADS  Google Scholar 

  10. Broholm, C. Magnetic excitations and ordering in the heavy-electron superconductor URu2Si2 . Phys. Rev. Lett. 58, 1467–1470 (1987).

    Article  ADS  Google Scholar 

  11. Broholm, C. et al. Magnetic excitations in the heavy-fermion superconductor URu2Si2 . Phys. Rev. B 43, 12809–12822 (1991).

    Article  ADS  Google Scholar 

  12. Squires, G. L. Introduction to the Theory of Neutron Scattering (Dover, New York, 1997).

    Google Scholar 

  13. Buyers, W. J. L. et al. Spin wave collapse and incommensurate fluctuations in URu2Si2 . Physica B 199, 95–97 (1994).

    Article  ADS  Google Scholar 

  14. Fawcett, E. Spin-density-wave antiferromagnetism in chromium. Rev. Mod. Phys. 60, 209–283 (1988).

    Article  ADS  Google Scholar 

  15. Bao, W., Broholm, C., Honig, J. M., Metcalf, P. & Trevino, S. F. Itinerant antiferromagnetism in the Mott compound V1.973O3 . Phys. Rev. B 54, R3726–R3729 (1996).

    Article  ADS  Google Scholar 

  16. Wiebe, C. R., Luke, G. M., Yamani, Z., Menovsky, A. A. & Buyers, W. J. L. Search for hidden orbital currents and observation of an activated ring of magnetic scattering in the heavy fermion superconductor URu2Si2 . Phys. Rev. B 69, 132418 (2004).

    Article  ADS  Google Scholar 

  17. Bonn, D. A., Garrett, J. D. & Timusk, T. Far-infrared properties of URu2Si2 . Phys. Rev. Lett. 61, 1305–1308 (1988).

    Article  ADS  Google Scholar 

  18. Chou, H. et al. Neutron-scattering study of spin fluctuations in superconducting YBa2Cu3O6+x (x=0.40,0.45,0.50). Phys. Rev. B 43, 5554–5563 (1991).

    Article  ADS  Google Scholar 

  19. Mason, T. E., Aeppli, G. & Mook, H. A. Magnetic dynamics of superconducting La1.86Sr0.14CuO4 . Phys. Rev. Lett. 68, 1414–1417 (1992).

    Article  ADS  Google Scholar 

  20. Rossat-Mignod, J. et al. Inelastic neutron scattering study of the spin dynamics in the YBa2Cu3O6+x system. Physica B 192, 109–121 (1993).

    Article  ADS  Google Scholar 

  21. Stock, C. et al. Dynamic stripes and resonance in the superconducting and normal phases of YBa2Ca3O6.5 ortho-II superconductor. Phys. Rev. B 69, 014502 (2004).

    Article  ADS  Google Scholar 

  22. Behnia, K. et al. Thermal transport in the hidden-order state of URu2Si2 . Phys. Rev. Lett. 94, 156405 (2005).

    Article  ADS  Google Scholar 

  23. Maple, M. B. et al. Partially gapped Fermi surface in the heavy-electron superconductor URu2Si2 . Phys. Rev. Lett. 56, 185–188 (1986).

    Article  ADS  Google Scholar 

  24. Palstra, T. T. M. et al. Superconducting and magnetic transitions in the heavy-fermion system URu2Si2 . Phys. Rev. Lett. 55, 2727–2730 (1985).

    Article  ADS  Google Scholar 

  25. Feynman, R. P. in Progress in Low Temperature Physics Vol. 1 (ed. Gorter, C.) (Interscience, New York, 1955).

    Google Scholar 

Download references

Acknowledgements

The authors would like to acknowledge helpful discussions with C. Broholm, C. D. Batista, A. Leggett, C. M. Varma, J. S. Gardner, J. S. Brooks, G. S. Boebinger and B. D. Gaulin. This work was made possible by support through the NSF and the state of Florida. L.B. acknowledges support from the NHMFL in house research program and Y.J. acknowledges support from the NHMFL Schuller program. G.M.L., G.J.M. and W.J.L.B. acknowledge support through NSERC and the CIAR. The authors are grateful to the local support staff at the NIST Center for Neutron Research. Data analysis was completed with DAVE, which can be obtained at http://www.ncnr.nist.gov/dave/. The work at NIST is supported in part by the National Science Foundation under Agreement No. DMR-0454672. A portion of this work was performed at the National High Magnetic Field Laboratory, which is supported by NSF Cooperative Agreement No. DMR-0084173, by the State of Florida, and by the DOE.

Author information

Authors and Affiliations

Authors

Contributions

Scattering experiments were completed by C.R.W., J.A.J., G.J.M., H.D.Z., Y.Q., J.R.D.C., Z.Y. and W.J.L.B. The crystals were grown by J.D.G. and G.M.L. Specific heat measurements were made by Y.J.J. and L.B. Data analysis and writing of the paper was completed by C.R.W., J.A.J., G.J.M., G.M.L., L.B. and W.J.L.B.

Corresponding author

Correspondence to C. R. Wiebe.

Ethics declarations

Competing interests

The authors declare no competing financial interests.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Wiebe, C., Janik, J., MacDougall, G. et al. Gapped itinerant spin excitations account for missing entropy in the hidden-order state of URu2Si2. Nature Phys 3, 96–99 (2007). https://doi.org/10.1038/nphys522

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue date:

  • DOI: https://doi.org/10.1038/nphys522

This article is cited by

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing