Abstract
Recently, we have released the results of a comprehensive study of a couple thousand single-crystal La2−xSrxCuO4 films, covering densely the entire overdoped side of the phase diagram (Božović et al. Nature 536, 309–311, 2016; Wu et al. Nature 547, 432–435, 2017). Here, we review the key experimental findings, place them in the context of other important well-established facts and observations, and discuss their implications for our understanding of high-temperature superconductivity in cuprates. We conclude that it involves some new physics that requires going beyond the standard Fermi liquid description of the normal state and Bardeen-Cooper-Schrieffer description of the superconducting state.
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Božović, I., He, X., Wu, J., Bollinger, A.T.: Dependence of the critical temperature in overdoped copper oxides on superfluid density. Nature 536, 309–311 (2016)
Wu, J., Bollinger, A.T., He, X., Božović, I.: Spontaneous breaking of rotational symmetry in copper oxide superconductors. Nature 547, 432–435 (2017)
Gozar, A., et al.: High-temperature interface superconductivity between metallic and insulating copper oxides. Nature 455, 782–785 (2008)
Logvenov, G., Gozar, A., Bozovic, I.: High-temperature superconductivity in a single copper-oxygen plane. Science 326, 699–702 (2009)
Sochnikov, I., Shaulov, A., Yeshurun, Y., Logvenov, G., Bozovic, I.: Large oscillations of the magnetoresistance in nanopatterned high-temperature superconducting films. Nat. Nanotechnol. 5, 516–519 (2010)
Bollinger, A.T., Dubuis, G., Yoon, J., Pavuna, D., Misewich, J., Božović, I.: Superconductor-insulator transition in La2−xSrxCuO4 at the pair quantum resistance. Nature 472, 458–460 (2011)
Dean, M.P.M., et al.: Spin excitations in a single La2CuO4 layer. Nat. Mater. 11, 850–854 (2012)
Dean, M.P.M., et al.: Persistence of magnetic excitations in La2−xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal. Nat. Mater. 12, 1019–1023 (2013)
Wu, J., et al.: Anomalous independence of interface superconductivity from carrier density. Nat. Mater. 12, 877–881 (2013)
Shi, X., et al.: Emergence of superconductivity from the dynamically heterogeneous insulating state in La2−xSrxCuO4. Nat. Mater. 12, 47–51 (2013)
Torchinsky, D.H., Mahmood, F., Bollinger, A.T., Božović, I, Gedik, N.: Fluctuating charge-density waves in a cuprate superconductor. Nat. Mater. 12, 387–391 (2013)
Wu, J., Bollinger, A.T., Sun, Y.-J., Božović, I.: Hall effect in quantum critical charge-cluster glass. Proc. Natl. Acad. Sci. USA (PNAS) 113, 4284–4289 (2016)
Giraldo-Gallo, P., et al.: Scale invariant magnetoresistance in the strange metal phase of a cuprate superconductor. Science 360 (2018)
Lemberger, T.R., Hetel, I., Tsukada, A., Naito, M.: Anomalously sharp superconducting transitions in overdoped La2−xSrxCuO4 films. Phys. Rev. B 82, 214513 (2010)
Lemberger, T.R., Hetel, I., Tsukada, A., Naito, M., Randeria, M.: Superconductor-to-metal quantum phase transition in overdoped La2−xSrxCuO4. Phys. Rev. B 83, 140507 (2011)
He, X., Gozar, A., Sundling, R., Božović, I.: High-precision measurement of magnetic penetration depth in superconducting films. Rev. Sci. Instr. 87, 113903 (2016)
Zhou, X.J., et al.: Universal nodal Fermi velocity. Nature 423, 398–398 (2003)
Padilla, W.J., et al.: Constant effective mass across the phase diagram of high-T c cuprates. Phys. Rev. B 72, 060511 (2005)
Dai, Y.M., et al.: Doping evolution of the optical scattering rate and effective mass of Bi2Sr2−xLaxCuO6. Phys. Rev. B 85, 092504 (2012)
Emery, V., Kivelson, S.A.: Importance of phase fluctuations in superconductors with small superfluid density. Nature 374, 434 (1994)
Gasparov, V., Božović, I.: Magnetic field and temperature dependence of complex conductance of ultrathin La1.65Sr0.45CuO4/ La2CuO4 films. Phys. Rev. B 86, 094523 (2012)
Grbić, M.S., et al.: Temperature range of superconducting fluctuations above \(T_{\mathrm {c}}\) in YBa2Cu3O7−δ single crystals. Phys. Rev. B 83, 144508 (2011)
Corson, J., Mallozzi, R., Orenstein, J., Eckstein, J.N., Božović, I.: Vanishing of phase coherence in underdoped Bi2Sr2CaCu2O8+δ. Nature 398, 221 (1999)
Bilbro, L.S., et al.: Temporal correlations of superconductivity above the transition temperature in La2−xSrxCuO4 probed by terahertz spectroscopy. Nat. Phys. 7, 298–302 (2011)
Xu, Z.A., Ong, N.P., Wang, Y., Kakeshita, T., Uchida, S.: Vortex-like excitations and the onset of superconducting phase fluctuation in underdoped La2−xSrxCuO4. Nature 406, 486–488 (2000)
Wang, Y.Y., et al.: Onset of the vortex-like Nernst signal above \(T_{\mathrm {c}}\) in La2−xSrxCuO4 and Bi2Sr2−yLaCuO6. Phys. Rev. B 64, 224519 (2001)
Wang, Y., Li, L., Ong, N.P.: Nernst effect in high-T c superconductors. Phys. Rev. B 73, 024510 (2006)
Li, L., et al.: Diamagnetism and Cooper pairing above \(T_{\mathrm {c}}\) in cuprates. Phys. Rev. B 81, 054510 (2010)
Rourke, P.M.C., et al.: Phase-fluctuating superconductivity in overdoped La2−xSrxCuO4. Nat. Phys. 7, 455–458 (2011)
Kondo, T., et al.: Point nodes persisting far beyond \(T_{\mathrm {c}}\) in Bi2212. Nat. Commun. 6, 7699 (2015)
Hardy, W.N., Bonn, D.A., Morgan, D.C., Liang, R.: Zhang., K.: Precision measurements of the temperature dependence of \(\lambda \) in YBa2Cu3O6.95: strong evidence for nodes in the gap function. Phys. Rev. Lett. 70, 3999–4002 (1993)
Won, H., Maki, K.: d-wave superconductor as a model of high-Tc superconductors. Phys. Rev. B 49, 1397–1402 (1994)
Hirschfeld, P.J., Goldenfeld, N.: Effect of strong scattering on the low-temperature penetration depth of a d-wave superconductor. Phys. Rev. B 48, 4219–4222 (1993)
Dahm, T., Hirschfeld, P.J., Scalapino, D.J., Zhu, L.: Nodal quasiparticle lifetimes in cuprate superconductors. Phys. Rev. B 72, 214512 (2005). Erratum Phys. Rev. B 76, 139904 (2005)
Lee-Hone, N.R., Dodge, J.S., Broun, D.M.: Disorder and superfluid density in overdoped cuprate superconductors. Phys. Rev. B 96, 024501 (2017)
Broun, D.M., et al.: Superfluid density in a highly underdoped YBa2Cu3O6+y superconductor. Phys. Rev. Lett. 99, 237003 (2007)
Kim, G.C., Cheon, M., Ahn, S.S., Jeong, J.H., Kim, Y.C.: Relationship between superfluid density at zero temperature and \(T_{\mathrm {c}}\) of Bi2Sr2−xLaxCuO6 + δ (0.4 ≤ x ≤ 0.76) and Bi2Sr1.6La0.4Cu1−yZnyO6 + d (0.0 \(\le y \le \) 0.015). Europhys. Lett. 81, 27005 (2008)
Broun, D.M., et al.: In-plane microwave conductivity of the single-layer cuprate Tl2Ba2CuO6+δδ. Phys. Rev. B 56, 11443–11446 (1997)
Deepwell, D., et al.: Microwave conductivity and superfluid density in strongly overdoped Tl2Ba2CuO6+δ. Phys. Rev. B 88, 214509 (2013)
Vignolle, B., et al.: Quantum oscillations in an overdoped high-T c superconductor. Nature 455, 952–955 (2008)
Bangura, A.F., et al.: Fermi surface and electronic homogeneity of the overdoped cuprate superconductor Tl2Ba2CuO6+δ as revealed by quantum oscillations. Phys. Rev. B 82, 140501(R) (2010)
Hashimoto, K., et al.: A sharp peak of the zero-temperature penetration depth at optimal composition in BaFe2(As1−x P x)2. Science 336, 1554–1557 (2012)
Keimer, B., Kivelson, S.A., Norman, M.R., Uchida, S., Zaanen, J.: From quantum matter to high-temperature superconductivity in copper oxides. Nature 518, 179–186 (2015)
Badoux, S., et al.: Change of carrier density at the pseudogap critical point of a cuprate superconductor. Nature 531, 210–214 (2016)
This parameter p is not a physical quantity that we measure directly; it is inferred from the measured \(T_{\mathrm {c}}\) by assuming the universal parabolic relation proposed by Presland, M.R., Tallon, J.L., Buckley, R.G., Flower, N.E.: General trends in oxygen stoichiometry effects on \(T_{\mathrm {c}}\) in Bi and Tl superconductors. Physica C 176, 95–105 (1991). This practice is widespread in the literature, and hence, we use the same convention here, just to facilitate the comparison with the literature. But, we emphasize that none of our conclusions here, nor in any other paper of ours, ever depend on this convention
Uemura, Y.J., et al.: Magnetic-field penetration depth in Tl2Ba2CuO6+δ in the overdoped regime. Nature 364, 605–607 (1993)
Niedermayer, Ch, et al.: Muon spin rotation study of the correlation between \(T_{\mathrm {c}}\) and \(n_{\mathrm {s}}\)/m ∗ in overdoped Tl2Ba2CuO6+δ. Phys. Rev. Lett. 71, 1764–1767 (1993)
Homes, C.C., et al.: A universal scaling relation in high-temperature superconductors. Nature 430, 539–541 (2004)
Homes, C.C., Dordevic, S.V., Bonn, D.A., Liang, R., Hardy, W.N.: Sum rules and energy scales in the high-temperature superconductor YBa2Cu3O6+x. Phys. Rev. B 69, 024514 (2004)
Božović, I., Wu, J., He, X., Bollinger, A.T.: Can high-Tc superconductivity in cuprates be explained by the conventional BCS theory? Low Temp. Phys. 44, 674–683 (2018)
Acknowledgments
This research was done at BNL and was supported by the U.S. Department of Energy, Basic Energy Sciences, Materials Sciences and Engineering Division.
Funding
X.H. is supported by the Gordon and Betty Moore Foundation’s EPiQS Initiative through Grant GBMF4410.
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Božović, I., He, X., Wu, J. et al. The Vanishing Superfluid Density in Cuprates—and Why It Matters. J Supercond Nov Magn 31, 2683–2690 (2018). https://doi.org/10.1007/s10948-018-4792-7
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DOI: https://doi.org/10.1007/s10948-018-4792-7