Low-energy quasi-circular electron correlations with charge order wavelength in ${\text{Bi}}_2{\text{Sr}}_2\text{Ca}{\text{Cu}}_2{\text{O}}_{8+\delta }$

Abstract

In the study of dynamic charge order correlations in the cuprates, most high energy-resolution resonant inelastic x-ray scattering (RIXS) measurements have focused on momenta along the high-symmetry directions of the copper oxide plane. However, electron scattering along other in-plane directions should not be neglected as they may contain information relevant, for example, to the origin of charge order correlations or to our understanding of the isotropic scattering responsible for strange metal behavior in cuprates. We report high-resolution resonant inelastic x-ray scattering (RIXS) experiments that reveal the presence of dynamic electron correlations over the $q_x$-$q_y$ scattering plane in underdoped ${\text{Bi}}_2{\text{Sr}}_2\text{Ca}{\text{Cu}}_2{\text{O}}_{8+\delta }$ with $T_c=54$ K. We use the softening of the RIXS-measured bond stretching phonon line as a marker for the presence of charge-order-related dynamic electron correlations. The experiments show that these dynamic correlations exist at energies below approximately $70$ meV and are centered around a quasi-circular manifold in the $q_x$-$q_y$ scattering plane with radius equal to the magnitude of the charge order wave vector, $q_{CO}$. We also demonstrate how this phonon-tracking procedure provides the necessary experimental precision to rule out fluctuations of short-range directional charge order (i.e. centered around $[q_x=\pm q_{CO},q_y=0]$ and $[q_x=0,q_y=\pm q_{CO}]$) as the origin of the observed correlations.

Submitted and under review

References in corpus (11)

• A Systematic Study of Electron-Phonon Coupling to Oxygen Modes Across the Cuprates
• Dispersive charge density wave excitations and temperature dependent commensuration in Bi2Sr2CaCu2O8+δ
• Theory of the Quantum Critical Fluctuations in Cuprates
• Charge order at high temperature in cuprate superconductors
• Dynamic electron correlations with charge order wavelength along all directions in the copper oxide plane
• Signature of quantum criticality in cuprates by charge density fluctuations
• Evolution of charge order topology across a magnetic phase transition in cuprate superconductors
• Identification of a Critical Doping for Charge Order Phenomena in Bi-2212 Cuprates via RIXS
• Low-energy quasi-circular electron correlations with charge order wavelength in ${\text{Bi}}_2{\text{Sr}}_2\text{Ca}{\text{Cu}}_2{\text{O}}_{8+\delta }$
• Ring-like shaped charge modulations in the t-J model with long-range Coulomb interaction
• Quantum fluctuations of charge order induce phonon softening in a superconducting cuprate

Cited by in corpus (8)

• Low-energy quasi-circular electron correlations with charge order wavelength in ${\text{Bi}}_2{\text{Sr}}_2\text{Ca}{\text{Cu}}_2{\text{O}}_{8+\delta }$
• Interplay of spin and charge order in the electron-doped cuprates
• Phase Diagram of the Square-Lattice $t$-$J$-$V$ Model for Electron-Doped Cuprates
• Detection of a two-phonon mode in a cuprate superconductor via polarimetric RIXS
• Dynamic charge order from strong correlations in the cuprates
• Charge-Density-Wave State in Extremely Overdoped Cuprates Driven by Phonons
• The influence of phonon symmetry and electronic structure on the electron-phonon coupling momentum dependence in cuprates
• Anisotropic electron damping and energy gap in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$