Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$

Abstract

We report the results a comprehensive study of charge density wave (CDW) correlations in untwinned YBCO6+x single crystals with 0.4<x<0.99 using Cu-L3 edge resonant x-ray scattering (RXS). Evidence of CDW formation is found for 0.45<x<0.93, but not for samples with x<0.44 that exhibit incommensurate spin-density-wave order, and in slightly overdoped samples with x=0.99. This suggests the presence of two proximate zero-temperature CDW critical points at doping pc1~0.08 and pc2~0.18. The CDW reflections are observed at incommensurate in-plane wave vectors (d_a, 0) and (0, d_b). Both decrease linearly with increasing doping, in agreement with recent reports on Bi-based high-Tc superconductors, but in sharp contrast to the behavior of the 214 family. The CDW intensity and correlation length exhibit maxima at p~0.12, coincident with a plateau in the superconducting transition temperature Tc. The onset temperature of the CDW reflections depends non-monotonically on p, with a maximum of~160 K for p~0.12. The RXS reflections exhibit a uniaxial intensity anisotropy. We further observe a depression of CDW correlations upon cooling below Tc, and (for samples with p> 0.09) an enhancement of the signal when an external magnetic field up to 6 T is applied in the superconducting state. For samples with p~0.08, where prior work has revealed a field-enhancement of incommensurate magnetic order, the RXS signal is field-independent. This supports a previously suggested scenario in which incommensurate charge and spin orders compete against each other, in addition to individually competing against. We discuss the relationship of these results to stripe order 214, the pseudogap phenomenon, superconducting fluctuations, and quantum oscillations.

arXiv commentrevised version. To appear in Phys. Rev. B

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• Suppression of superconductivity by charge density wave order in YBa${}_2$Cu${}_3$O${}_{6.67}$
• The magnetic susceptibility of YBa${}_2$Cu${}_3$O${}_{6+x}$ crystals: unusual Curie behavior and small contributions from charge density waves
• Imprint of charge and oxygen orders on Dy ions in DyBa${}_2$Cu${}_3$O${}_{6+x}$ thin films probed by resonant x-ray scattering
• Strong-coupling theory of bilayer plasmon excitations
• Dynamic charge order from strong correlations in the cuprates
• Boosting superconductivity in ultrathin YBa${}_2$Cu${}_3$O${}_{7-\delta }$ films via nanofaceted substrates
• Precise dd excitations and commensurate intersite Coulomb interactions in the dissimilar cuprate YBa_2Cu_3O_(7-x) and La_(2-x)Sr_xCuO_4
• Development of spin fluctuations under the presence of $d$-wave bond order in cuprate superconductors
• Unified model of the Hall effect from insulator to overdoped compounds in cuprate superconductors
• Unitarity bound violation in holography and the Instability toward the Charge Density Wave
• The role of the pseudogap in cuprate superconductors revealed by the Hall effect
• Empirical case for two pseudogaps in cuprate superconductors
• 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${}_4$
• High field charge order across the phase diagram of $YB{a}_{2}C{u}_3{O}_y$
• Light-Induced Metastable State in Charge-Ordered YBa${}_2$Cu${}_3$O${}_{6+x}$
• Dynamic Competition between Cooper-Pair and Spin-Density-Wave Condensation
• Normal state Nernst effect from bi-directional bond density wave state in high T_c cuprates
• Charge modulation in the background of depleted superconductivity inside vortices
• Resonant x-ray scattering study of charge-density wave correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$ under uniaxial stress
• Raman Response of the Charge Density Wave in Cuprate Superconductors
• Exploring Strongly Interacting Gapless States: Cuprates, Pair Density Waves, and Fluctuating Superconductivity
• Superconductivity Reinforces Charge-Density-Wave Phase Coherence across Cuprates
• Search for $Q\sim 0$ order near a forbidden Bragg position in Bi${}_{2.1}$Sr${}_{1.9}$CaCu${}_2$O${}_{8+x}$ with resonant soft x-ray scattering
• Charge order in the Pr substituted YBa${}_2$Cu${}_3$O${}_7$ from high-field Hall effect measurements
• Electronic diffusion in a normal state of high-Tc cuprate YBa${}_2$Cu${}_3$O${}_{6+x}$
• Enhanced coherent terahertz emission from critical superconducting fluctuations in YBa${}_2$Cu${}_3$O${}_{6.6}$