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Link between spin fluctuations and electron pairing in copper oxide superconductors


Although it is generally accepted that superconductivity is unconventional in the high-transition-temperature copper oxides, the relative importance of phenomena such as spin and charge (stripe) order, superconductivity fluctuations, proximity to a Mott insulator, a pseudogap phase and quantum criticality are still a matter of debate1. In electron-doped copper oxides, the absence of an anomalous pseudogap phase in the underdoped region of the phase diagram2 and weaker electron correlations3,4 suggest that Mott physics and other unidentified competing orders are less relevant and that antiferromagnetic spin fluctuations are the dominant feature. Here we report a study of magnetotransport in thin films of the electron-doped copper oxide La2 − xCe x CuO4. We show that a scattering rate that is linearly dependent on temperature—a key feature of the anomalous normal state properties of the copper oxides—is correlated with the electron pairing. We also show that an envelope of such scattering surrounds the superconducting phase, surviving to zero temperature when superconductivity is suppressed by magnetic fields. Comparison with similar behaviour found in organic superconductors5 strongly suggests that the linear dependence on temperature of the resistivity in the electron-doped copper oxides is caused by spin-fluctuation scattering.

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Figure 1: Temperature–doping ( T x ) phase diagram of La2 −  xCexCuO4.
Figure 2: Doping dependence of scattering rates in zero field.
Figure 3: Temperature dependence of normal-state resistivity.


  1. Norman, M. R. The challenge of unconventional superconductivity. Science 332, 196–200 (2011)

    Article  ADS  CAS  Google Scholar 

  2. Armitage, N. P., Fournier, P. & Greene, R. L. Progress and perspectives on the electron-doped cuprates. Rev. Mod. Phys. 82, 2421–2487 (2010)

    Article  ADS  CAS  Google Scholar 

  3. Weber, C., Haule, K. & Kotliar, G. Strength of correlations in electron- and hole-doped cuprates. Nature Phys. 6, 574–578 (2010)

    Article  ADS  CAS  Google Scholar 

  4. Senechal, D. & Tremblay, A.-M. S. Hot spots and pseudogaps for hole- and electron-doped high-temperature superconductors. Phys. Rev. Lett. 92, 126401 (2004)

    Article  ADS  Google Scholar 

  5. Doiron-Leyraud, N. et al. Correlation between linear resistivity and T c in the Bechgaard salts and the pnictide superconductor Ba(Fe1−x Co x )2As2 . Phys. Rev. B 80, 214531 (2009)

    Article  ADS  Google Scholar 

  6. 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 

  7. Moriya, T. & Ueda, K. Spin fluctuations and high temperature superconductivity. Adv. Phys. 49, 555–606 (2000)

    Article  ADS  CAS  Google Scholar 

  8. Sachdev, S. & Keimer, B. Quantum criticality. Phys. Today 64, 29–35 (2011)

    Article  Google Scholar 

  9. Rosch, A. Magnetotransport in nearly antiferromagnetic metals. Phys. Rev. B 62, 4945–4962 (2000)

    Article  ADS  CAS  Google Scholar 

  10. Bourbonnais, C. & Sedeki, A. Link between antiferromagnetism and superconductivity probed by nuclear spin relaxation in organic conductors. Phys. Rev. B 80, 085105 (2009)

    Article  ADS  Google Scholar 

  11. Taillefer, L. Scattering and pairing in cuprate superconductors. Annu. Rev. Cond. Matter Phys. 1, 51–70 (2010)

    Article  ADS  CAS  Google Scholar 

  12. Fournier, P. et al. Insulator-metal crossover near optimal doping in Pr2-x Ce x CuO4: Anomalous normal-state low temperature resistivity. Phys. Rev. Lett. 81, 4720–4723 (1998)

    Article  ADS  CAS  Google Scholar 

  13. Dagan, Y. et al. Evidence for a quantum phase transition in Pr2-x Ce x CuO4-δ . Phys. Rev. Lett. 92, 167001 (2004)

    Article  ADS  CAS  Google Scholar 

  14. Matsui, H. et al. Evolution of the pseudogap across the magnet-superconductor phase boundary of Nd2-x Ce x CuO4 . Phys. Rev. B 75, 224514 (2007)

    Article  ADS  Google Scholar 

  15. Helm, T. et al. Evolution of the Fermi surface of the electron-doped high-temperature superconductor Nd2-x Ce x CuO4 revealed by Shubnikov–de Haas oscillations. Phys. Rev. Lett. 103, 157002 (2009)

    Article  ADS  CAS  Google Scholar 

  16. Sawa, A. et al. Electron-doped superconductor La2-x Ce x CuO4: preparation of thin films and modified doping range for superconductivity. Phys. Rev. B 66, 014531 (2002)

    Article  ADS  Google Scholar 

  17. Jin, K. et al. Normal-state transport in electron-doped La2-x Ce x CuO4 thin films in magnetic fields up to 40 Tesla. Phys. Rev. B 77, 172503 (2008)

    Article  ADS  Google Scholar 

  18. Jin, K. et al. Evidence for antiferromagnetic order in La2-x Ce x CuO4 from angular magnetoresistance measurements. Phys. Rev. B 80, 012501 (2009)

    Article  ADS  Google Scholar 

  19. Jin, K. et al. Low-temperature Hall effect in electron-doped superconducting La2-x CexCuO4 thin films. Phys. Rev. B 78, 174521 (2008)

    Article  ADS  Google Scholar 

  20. Cooper, R. A. et al. Anomalous criticality in the electrical resistivity of La2-x Sr x CuO4 . Science 323, 603–607 (2009)

    Article  ADS  CAS  Google Scholar 

  21. Daou, R. et al. Linear temperature dependence of resistivity and change in the Fermi surface at the pseudogap critical point of a high-T c superconductor. Nature Phys. 5, 31–34 (2009)

    Article  ADS  CAS  Google Scholar 

  22. Motoyama, E. M. et al. Spin correlations in the electron-doped high-transition-temperature superconductor Nd2 − x Ce x CuO4 ± δ . Nature 445, 186–189 (2007)

    Article  ADS  CAS  Google Scholar 

  23. Lin, J. & Millis, A. J. Theory of low-temperature Hall effect in electron-doped cuprates. Phys. Rev. B 72, 214506 (2005)

    Article  ADS  Google Scholar 

  24. Fujita, M. et al. Low-energy spin fluctuations in the ground states of electron-doped Pr1-x LaCe x CuO4+δ cuprate superconductors. Phys. Rev. Lett. 101, 107003 (2008)

    Article  ADS  CAS  Google Scholar 

  25. Nakamae, S. et al. Electronic ground state of heavily overdoped nonsuperconducting La2-x Sr x CuO4 . Phys. Rev. B 68, 100502 (2003)

    Article  ADS  Google Scholar 

  26. Kubo, Y., Shimakawa, Y., Manako, T. & Igarashi, H. Transport and magnetic properties of Tl2Ba2CuO6+δ showing a δ-dependent gradual transition from an 85-K superconductor to a nonsuperconducting metal. Phys. Rev. B 43, 7875–7882 (1991)

    Article  ADS  CAS  Google Scholar 

  27. Scalapino, D. J. The case for d x2y2 pairing in the cuprate superconductors. Phys. Rep. 250, 329–365 (1995)

    Article  ADS  CAS  Google Scholar 

  28. Dhokarh, D. D. & Chubukov, A. V. Self-consistent Eliashberg theory, Tc, and the gap function in electron-doped cuprates. Phys. Rev. B 83, 064518 (2011)

    Article  ADS  Google Scholar 

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

    Article  ADS  CAS  Google Scholar 

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We thank L. Taillefer for extensive discussions and N. Doiron-Leyraud for some preliminary analysis of our zero-field data. We also appreciate discussions with A. Chubukov, A. Millis and C. Varma. Some experimental help was provided by X. Zhang, P. Bach and G. Droulers. This research was supported by the NSF under DMR-0952716 (J.P. and K.K.) and DMR-0653535 (R.L.G.) and the Maryland Center for Nanophysics and Advanced Materials (K.J. and N.P.B.).

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K.J. prepared and characterized the thin-film samples. K.J., N.P.B., K.K. and J.P. performed the transport measurements and data analysis. N.P.B., J.P. and R.L.G. wrote the manuscript. R.L.G. conceived and directed the project.

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Correspondence to R. L. Greene.

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The authors declare no competing financial interests.

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Jin, K., Butch, N., Kirshenbaum, K. et al. Link between spin fluctuations and electron pairing in copper oxide superconductors. Nature 476, 73–75 (2011).

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