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Imaging the Fano lattice to ‘hidden order’ transition in URu2Si2

Nature volume 465, pages 570576 (03 June 2010) | Download Citation

Abstract

Within a Kondo lattice, the strong hybridization between electrons localized in real space (r-space) and those delocalized in momentum-space (k-space) generates exotic electronic states called ‘heavy fermions’. In URu2Si2 these effects begin at temperatures around 55 K but they are suddenly altered by an unidentified electronic phase transition at To = 17.5 K. Whether this is conventional ordering of the k-space states, or a change in the hybridization of the r-space states at each U atom, is unknown. Here we use spectroscopic imaging scanning tunnelling microscopy (SI-STM) to image the evolution of URu2Si2 electronic structure simultaneously in r-space and k-space. Above To, the ‘Fano lattice’ electronic structure predicted for Kondo screening of a magnetic lattice is revealed. Below To, a partial energy gap without any associated density-wave signatures emerges from this Fano lattice. Heavy-quasiparticle interference imaging within this gap reveals its cause as the rapid splitting below To of a light k-space band into two new heavy fermion bands. Thus, the URu2Si2 ‘hidden order’ state emerges directly from the Fano lattice electronic structure and exhibits characteristics, not of a conventional density wave, but of sudden alterations in both the hybridization at each U atom and the associated heavy fermion states.

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Acknowledgements

We acknowledge and thank E. Abrahams, M. Aronson, D. Bonn, W. Buyers, A. Chantis, M. Crommie, P. Coleman, D. M. Eigler, M. Graf, A. Greene, K. Haule, C. Hooley, G. Kotliar, D.-H. Lee, A. J. Leggett, B. Maple, F. Steglich, V. Madhavan, A. P. Mackenzie, S. Sachdev, A. Schofield, T. Senthil and D. Pines for discussions and communications. These studies were supported by the US Department of Energy, Office of Basic Energy Sciences, under Award Number DE-2009-BNL-PM015. Research at McMaster University was supported by NSERC and CIFAR. Research at Los Alamos was supported in part by the Center for Integrated Nanotechnology, a US Department of Energy Office of Basic Energy Sciences user facility, under contract DE-AC52-06NA25396, by LDRD funds and by UCOP TR01. P.W. acknowledges support from the Humboldt Foundation, F.M. from the German Academic Exchange Service, and A.R.S. from the US Army Research Office. J.C.D. gratefully acknowledges the hospitality and support of the Physics and Astronomy Department at the University of British Columbia.

Author information

Affiliations

  1. Laboratory for Atomic and Solid State Physics, Department of Physics, Cornell University, Ithaca, New York 14853, USA

    • A. R. Schmidt
    • , M. H. Hamidian
    • , P. Wahl
    • , F. Meier
    •  & J. C. Davis
  2. Condensed Matter Physics and Materials Science Department, Brookhaven National Laboratory, Upton, New York 11973, USA

    • A. R. Schmidt
    • , M. H. Hamidian
    •  & J. C. Davis
  3. Max-Planck-Institut für Festkörperforschung, Heisenbergstraße1, D-70569 Stuttgart, Germany

    • P. Wahl
  4. Theory Division and Center for Integrated Nanotechnology, Los Alamos National Laboratory, Los Alamos, New Mexico 87545, USA

    • A. V. Balatsky
  5. Brockhouse Institute for Materials Research, McMaster University, Hamilton, Ontario, L85 4M1, Canada

    • J. D. Garrett
  6. Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, L8S 4M1, Canada

    • T. J. Williams
    •  & G. M. Luke
  7. Canadian Institute for Advanced Research, Toronto, Ontario, M5G 1Z8, Canada

    • G. M. Luke
  8. School of Physics and Astronomy, University of St Andrews, St Andrews, Fife KY16 9SS, UK

    • J. C. Davis
  9. Department of Physics and Astronomy, University of British Columbia, Vancouver, V6T 1Z1, Canada

    • J. C. Davis

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Contributions

A.R.S., M.H.H., P.W. and F.M. performed the SI-STM measurements and data analysis. J.D.G, T.J.W. and G.M.L. synthesized and characterized the materials. A.V.B. provided the theoretical framework. J.C.D. wrote the manuscript and supervised the project.

Competing interests

The authors declare no competing financial interests.

Corresponding author

Correspondence to J. C. Davis.

Supplementary information

PDF files

  1. 1.

    Supplementary Information

    This file contains Supplementary Notes (I)-(IX), Supplementary Figures S1-S9 with legends and References.

Videos

  1. 1.

    Supplementary Video 1

    This movie shows the Fourier transform of the real space conductance maps of Th-doped URu2Si2 in the heavy fermion paramagnetic phase at a temperature of 19K. The patterns are due to quasiparticle interference. The red diamonds in the corners mark the locations of the U atom reciprocal lattice vectors.

  2. 2.

    Supplementary Video 2

    This movie shows the Fourier transform of the real space conductance maps of Th-doped URu2Si2 in the hidden order phase at a temperature of 1.9K. The red diamonds in the corners mark the locations of the U atom reciprocal lattice vectors. The patterns are due to quasiparticle interference. The two dimensional patterns are seen to become highly separated from the patterns seen at 19K for biases -3mV to 3mV.

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DOI

https://doi.org/10.1038/nature09073

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