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Superconductivity and quantum criticality in the heavy-fermion system β-YbAlB4

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Abstract

A long-standing question in the field of superconductivity is whether pairing of electrons can arise in some cases as a result of magnetic interactions instead of electron–phonon-induced interactions as in the conventional Bardeen–Cooper–Schrieffer theory1. A major challenge to the idea of magnetically mediated superconductivity has been the dramatically different behaviour of the cerium and ytterbium heavy-fermion compounds. The cerium-based systems are often found to be superconducting1,2,3,4,5,6, in keeping with a magnetic pairing scenario, but corresponding ytterbium systems, or hole analogues of the cerium systems, are not. Despite searches over two decades there has been no evidence of heavy-fermion superconductivity in an ytterbium system, casting doubt on our understanding of the electron–hole parallelism between the cerium and the ytterbium compounds. Here we present the first empirical evidence that superconductivity is indeed possible in an ytterbium-based heavy-fermion system. In particular, we observe a superconducting transition at Tc=80 mK in high-purity single crystals of YbAlB4 in the new structural β phase7. We also observe a novel type of non-Fermi-liquid state above Tc that arises without chemical doping, in zero applied magnetic field and at ambient pressure, establishing β-YbAlB4 as a unique system showing quantum criticality without external tuning.

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Figure 1: Physical properties of β-YbAlB4.
Figure 2: Crossover from non-FL to FL behaviour in the resistivity.
Figure 3: Crossover from non-FL to FL behaviours in the susceptibility and heat capacity.
Figure 4: Superconductivity in high-purity single crystals of β-YbAlB4.

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Change history

  • 11 July 2008

    In the version of this article previously published online, the bottom right inset of Fig. 1b, was missing its data. The figure has now been corrected in the HTML and pdf versions, and it will appear correctly in the print version.

References

  1. Monthoux, P., Pines, D. & Lonzarich, G. G. Superconductivity without phonons. Nature 450, 1177–1183 (2007).

    Article  ADS  Google Scholar 

  2. Mathur, N. D. et al. Magnetically mediated superconductivity in heavy fermion compounds. Nature 394, 39–43 (1998).

    Article  ADS  Google Scholar 

  3. Stewart, G. R. Non-Fermi-liquid behaviour in d- and f-electron metals. Rev. Mod. Phys. 73, 797–855 (2001).

    Article  ADS  Google Scholar 

  4. Yuan, H. Q. et al. Observation of two distinct superconducting phases in CeCu2Si2 . Science 302, 2104–2107 (2003).

    Article  ADS  Google Scholar 

  5. Löhneysen, H. v., Rosch, A., Vojta, M. & Wölfle, P. Fermi-liquid instabilities at magnetic quantum phase transitions. Rev. Mod. Phys. 79, 1015–1075 (2007).

    Article  ADS  Google Scholar 

  6. Gegenwart, P., Si, Q. & Steglich, F. Quantum criticality in heavy-fermion metals. Nature Phys. 4, 186–197 (2008).

    Article  ADS  Google Scholar 

  7. Macaluso, R. T. et al. Crystal structure and physical properties of polymorphs of LnAlB4 (Ln=Yb,Lu). Chem. Mater. 19, 1918–1922 (2007).

    Article  Google Scholar 

  8. Fisk, Z., Yang, K. N., Maple, M. B. & Ott, H. R. in Valence Fluctuations in Solids (eds Falicov, L. M., Hanke, W. & Maple, M. B.) 345–347 (North-Holland, New York, 1981).

    Google Scholar 

  9. Kadowaki, K. & Woods, S. B. Universal relationship of the resistivity and specific heat in heavy-Fermion compounds. Solid State Commun. 58, 507–509 (1986).

    Article  ADS  Google Scholar 

  10. Moriya, T. Spin Fluctuations in Itinerant Electron Magnetism (Springer, Berlin, 1985).

    Book  Google Scholar 

  11. Millis, A. J. Effect of a nonzero temperature on quantum critical points in itinerant fermion systems. Phys. Rev. B 48, 7183–7196 (1993).

    Article  ADS  Google Scholar 

  12. Coleman, P., Pépin, C., Si, Q. & Ramazashvili, R. How do Fermi liquids get heavy and die? J. Phys. Condens. Matter 13, R723–R738 (2001).

    Article  ADS  Google Scholar 

  13. Si, Q., Rabello, S., Ingersent, K. & Smith, J. L. Locally critical quantum phase transitions in strongly correlated metals. Nature 413, 804–808 (2001).

    Article  ADS  Google Scholar 

  14. Senthil, T., Sachdev, S. & Vojta, M. Fractionalized Fermi liquids. Phys. Rev. Lett. 90, 216403 (2003).

    Article  ADS  Google Scholar 

  15. Löhneysen, H. v. et al. Non-Fermi-liquid behaviour in a heavy-fermion alloy at a magnetic instability. Phys. Rev. Lett. 72, 3262–3265 (1994).

    Article  ADS  Google Scholar 

  16. Schröder, A. et al. Onset of antiferromagnetism in heavy-fermion metals. Nature 407, 351–355 (2000).

    Article  ADS  Google Scholar 

  17. Trovarelli, O. et al. YbRh2Si2: Pronounced non-Fermi-liquid effects above a low-lying magnetic phase transition. Phys. Rev. Lett. 85, 626–629 (2000).

    Article  ADS  Google Scholar 

  18. Custers, J. et al. The break-up of heavy electrons at a quantum critical point. Nature 424, 524–527 (2003).

    Article  ADS  Google Scholar 

  19. Gegenwart, P. et al. Multiple energy scales at a quantum critical point. Science 315, 969–971 (2007).

    Article  ADS  Google Scholar 

  20. Holmes, A. T., Jaccard, D. & Miyake, K. Signatures of valence fluctuations in CeCu2Si2 under high pressure. Phys. Rev. B 69, 024508 (2004).

    Article  ADS  Google Scholar 

  21. Sakakibara, T., Mitamura, H., Tayama, T. & Amitsuka, H. Faraday force magnetometer for high-sensitivity magnetization measurements at very low temperatures and high fields. Japan. J. Appl. Phys. 33, 5067–5072 (1994).

    Article  ADS  Google Scholar 

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Acknowledgements

We thank M. Ichihara and Y. Kiuchi for their transmission electron microscopy and inductively coupled plasma analyses, and A. Kusmartseva, S. S. Saxena, Y. Matsumoto, T. Tomita, J. Yamaura, Y. Uwatoko, D. Pines, Julia Y. Chan, M. Surtherland, E. O’Farrell, Q. Si, M. Imada and C. Pépin for discussions. This work has been supported in part by Grants-in-Aid for Scientific Research from JSPS, by a Grant-in-Aid for Scientific Research on Priority Areas as well as the 21COE program ‘Diversity and Universality in Physics’ from MEXT of Japan and by the NSF of the United States through DMR-0710492.

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Nakatsuji, S., Kuga, K., Machida, Y. et al. Superconductivity and quantum criticality in the heavy-fermion system β-YbAlB4. Nature Phys 4, 603–607 (2008). https://doi.org/10.1038/nphys1002

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