Generic character of charge and spin density waves in superconducting cuprates

Abstract

Understanding the nature of charge density waves (CDW) in cuprate superconductors has been complicated by material specific differences. A striking example is the opposite doping dependence of the CDW ordering wavevector in La-based and Y-based compounds, the two families where charge ordering is strongest and best characterized. Here we report a combined resonant soft X-ray scattering (RSXS) and neutron scattering study of charge and spin density waves in isotopically enriched La${}_{1.8-x}$ Eu${}_{0.2}$ Sr${}_x$ CuO${}_4$ over a range of doping $0.07\le x\le 0.20$. For all dopings studied by RSXS, we find that the CDW amplitude is approximately temperature-independent and develops well above experimentally accessible temperatures. Surprisingly, the CDW ordering wavevector shows a non-monotonic temperature dependence, with a sudden change occurring at temperatures near the SDW onset temperature. We describe this behavior with a Landau-Ginzburg theory for an incommensurate CDW in a metallic system with a finite charge compressibility and CDW-SDW coupling. Our Landau-Ginzburg analysis suggests that the ordering wavevector at high temperatures decreases with increased doping. This behavior is opposite to the trend at low temperatures and highly reminiscent of the doping dependence seen in YBa${}_2$ Cu${}_3$ O${}_{6+\delta }$ , suggesting a common origin of the CDW in hole-doped cuprate superconductors.

Manuscript submitted to PNAS; ArXiv version formatted in Revtex4-2; Supplementary Material included as appendices; 20 pages, 14 figures (6 in the main text), and 41 references

References in corpus (4)

• Theory of Intertwined Orders in High Temperature Superconductors
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• Charge density wave fluctuations in La2-xSrxCuO4 and their competition with superconductivity
• Competing charge, spin, and superconducting orders in underdoped YBa2Cu3Oy

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• Topological Doping and Superconductivity in Cuprates: An Experimental Perspective
• Intertwined Orders and the Physics of High Temperature Superconductors
• Robust Charge-Density Wave Correlations in Optimally-Doped YBa2Cu3Oy
• Fluctuating charge-density-wave correlations in the three-band Hubbard model
• Magnetic Field Tuning of Parallel Spin Stripe Order and Fluctuations near the Pseudogap Quantum Critical Point in La${}_{1.36}$Nd${}_{0.4}$Sr${}_{0.24}$CuO${}_4$
• Introducing new resonant soft x-ray scattering capability in SSRL
• Spin-stripe order tied to the pseudogap phase in La1.8-xEu0.2SrxCuO4
• Charge density waves and pinning by lattice anisotropy in 214 cuprates
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• Incommensurate magnetic order: A fingerprint for electronic correlations in hole-doped cuprates
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• Charge-Density-Wave State in Extremely Overdoped Cuprates Driven by Phonons
• An Exactly Solvable Model of Randomly Pinned Charge Density Waves in Two Dimensions
• Orbital-selective time-domain signature of nematicity dynamics in the charge-density-wave phase of La${}_{1.65}$Eu${}_{0.2}$Sr${}_{0.15}$CuO${}_4$
• Spatial correlations of charge density wave order across the transition in 2H-NbSe2
• Large Kohn anomaly and phonon collapse induced by charge density wave in UPt${}_2$Si${}_2$
• Tuning Incommensurate Charge Order in Ba${}_{1-x}$Sr${}_x$Al${}_4$ and Ba${}_{1-y}$Eu${}_y$Al${}_4$
• Interplay of Quantum and Thermal Fluctuations in Two-Dimensional Randomly Pinned Charge Density Waves