Dispersive charge density wave excitations and temperature dependent commensuration in Bi2Sr2CaCu2O8+δ

Abstract

Experimental evidence on high-Tc cuprates reveals ubiquitous charge density wave (CDW) modulations, which coexist with superconductivity. Although the CDW had been predicted by theory, important questions remain about the extent to which the CDW influences lattice and charge degrees of freedom and its characteristics as functions of doping and temperature. These questions are intimately connected to the origin of the CDW and its relation to the mysterious cuprate pseudogap. Here, we use ultrahigh resolution resonant inelastic x-ray scattering (RIXS) to reveal new CDW character in underdoped Bi2Sr2CaCu2O8+δ (Bi2212). At low temperature, we observe dispersive excitations from an incommensurate CDW that induces anomalously enhanced phonon intensity, unseen using other techniques. Near the pseudogap temperature T*, the CDW persists, but the associated excitations significantly weaken and the CDW wavevector shifts, becoming nearly commensurate with a periodicity of four lattice constants. The dispersive CDW excitations, phonon anomaly, and temperature dependent commensuration provide a comprehensive momentum space picture of complex CDW behavior and point to a closer relationship with the pseudogap state.

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Cited by in corpus (95)

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• Charge density waves in cuprate superconductors beyond the critical doping
• Cuprate superconductors as viewed through a striped lens
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• Charge ordering in superconducting copper oxides
• Direct observation of multi-spinon excitations outside of the two-spinon continuum in the antiferromagnetic spin chain cuprate Sr2CuO3
• Measurement of the dynamic charge response of materials using low-energy, momentum-resolved electron energy-loss spectroscopy (M-EELS)
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• Phonon collapse and van der Waals melting of the 3D charge density wave of VSe${}_2$
• Spectroscopic Evidence for Charge Order Melting via Quantum Fluctuations in a Cuprate
• Nature of the charge-density wave excitations in cuprates
• Formation of Incommensurate Charge Density Waves in Cuprates
• Multi-orbital charge density wave excitations and concomitant phonon anomalies in Bi${}_2$Sr${}_2$LaCuO${}_{6+\delta }$
• Theoretical Understanding of Photon Spectroscopies in Correlated Materials In and Out of Equilibrium
• Polarization resolved Cu $L_3$-edge resonant inelastic x-ray scattering of orbital and spin excitations in NdBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Coupling between dynamic magnetic and charge-order correlations in the cuprate superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Enhanced electron-phonon coupling for charge-density-wave formation in La${}_{1.8-x}$Eu${}_{0.2}$Sr${}_x$CuO${}_{4+\delta }$
• Signature of quantum criticality in cuprates by charge density fluctuations
• Dynamic electron correlations with charge order wavelength along all directions in the copper oxide plane
• Determining the Electron-Phonon Coupling in Superconducting Cuprates by Resonant Inelastic X-ray Scattering: Methods and Results on Nd${}_{1+x}$Ba${}_{2-x}$Cu${}_3$O${}_{7-\delta }$
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• Exploring Quantum Materials with Resonant Inelastic X-Ray Scattering
• Origin of the high-energy charge excitations observed by resonant inelastic x-ray scattering in cuprate superconductors
• Charge density waves and Fermi-surface reconstruction in the clean overdoped cuprate superconductor Tl2Ba2CuO6+x
• Soft X-ray Spectroscopy of Low-Valence Nickelates
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• Charge Order Lock-in by Electron-Phonon Coupling in La${}_{1.675}$Eu${}_{0.2}$Sr${}_{0.125}$CuO${}_4$
• High-T${}_c$ cuprates: a story of two electron subsystems
• Time-Resolved Resonant Inelastic X-Ray Scattering in a Pumped Mott Insulator
• Unusual dynamic charge-density-wave correlations in HgBa${}_2$CuO${}_{4+\delta }$
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• Nematicity in the pseudogap state of cuprate superconductors revealed by angle-resolved photoemission spectroscopy
• Prevailing charge order in overdoped cuprates beyond the superconducting dome
• Identification of a Critical Doping for Charge Order Phenomena in Bi-2212 Cuprates via RIXS
• Ubiquitous Charge Order Correlations in High-Temperature Superconducting Cuprates
• Charge Transfer and $dd$ excitations in AgF${}_2$
• Single shot time-resolved magnetic x-ray absorption at a Free Electron Laser
• Doping-dependence of the electron-phonon coupling in two families of bilayer superconducting cuprates
• Hydrodynamics of plastic deformations in electronic crystals
• Odd-frequency pair density wave correlations in underdoped cuprates
• Ground state and spectral properties of the doped one-dimensional optical Hubbard-Su-Schrieffer-Heeger model
• Kuramoto synchronization of quantum tunneling polarons for describing the dynamic structure in cuprate superconductors
• Phonon spectrum of underdoped ${\text{HgBa}}_2{\text{CuO}}_{4+\delta }$ investigated by neutron scattering
• Disparate exciton-phonon couplings for zone center and boundary phonons in solid-state graphite
• Low-energy quasi-circular electron correlations with charge order wavelength in ${\text{Bi}}_2{\text{Sr}}_2\text{Ca}{\text{Cu}}_2{\text{O}}_{8+\delta }$
• Emergent charge order near the doping-induced Mott-insulating quantum phase transition in Sr${}_3$Ru${}_2$O${}_7$
• Resonant inelastic x-ray scattering probes the electron-phonon coupling in the spin-liquid kappa-(BEDT-TTF)2Cu2(CN)3
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• Quasi-Static Internal Magnetic Field Detected in the Pseudogap Phase of Bi${}_{2+x}$Sr${}_{2-x}$CaCu${}_2$O${}_{8+\delta }$ by $\mu$SR
• Fluctuations and Higgs mechanism in Under-Doped Cuprates: a Review
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• In-plane Isotropy of the Low Energy Phonon Anomalies in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Doping-dependent phonon anomaly and charge-order phenomena in the HgBa${}_2$CuO${}_{4+\delta }$ and HgBa${}_2$CaCu${}_2$O${}_{6+\delta }$
• Diffraction gratings with two-orders-of-magnitude-enhanced dispersion rates for sub-meV-resolution soft x-ray spectroscopy
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• Spin and bond-charge excitation spectra in correlated electron systems near antiferromagnetic phase
• Localized character of charge excitations for La${}_{2-x}$Sr${}_x$NiO${}_{4+\delta }$ revealed by oxygen $K$-edge resonant inelastic X-ray scattering
• Anomalous Dispersion of LO Phonons in Oxygen-Doped La${}_{2-x}$Sr${}_x$CuO${}_{4+\delta }$
• A compact approach to higher-resolution resonant inelastic X-ray scattering detection using photoelectrons
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• Observation of Dirac Charge Density Waves in Bi${}_2$Te${}_2$Se
• Bulk charge density wave and electron-phonon coupling in superconducting copper oxychlorides
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• Minimal model of charge and pairing density waves in X-ray scattering experiments
• Infrared spectroscopy study of the in-plane response of YBa2Cu3O6.6 in magnetic fields up to 30 Tesla
• Correlation between optical phonon softening and superconducting $T_c$ in YBa${}_2$Cu${}_3$O${}_x$ within $d$-wave Eliashberg theory
• Time-resolved X-ray Spectroscopy from the Atomic Orbital Ground State Up
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• Strong-coupling theory of bilayer plasmon excitations
• A light-induced charge order mode in a metastable cuprate ladder
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• Magnetic Excitations of a Half-Filled Tl-based Cuprate
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