Dynamic electron correlations with charge order wavelength along all directions in the copper oxide plane

Abstract

In strongly correlated systems the strength of Coulomb interactions between electrons, relative to their kinetic energy, plays a central role in determining their emergent quantum mechanical phases. We perform resonant x-ray scattering on Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$, a prototypical cuprate superconductor, to probe electronic correlations within the CuO${}_2$ plane. We discover a dynamic quasi-circular pattern in the $x$-$y$ scattering plane with a radius that matches the wave vector magnitude of the well-known static charge order. Along with doping- and temperature-dependent measurements, our experiments reveal a picture of charge order competing with superconductivity where short-range domains along $x$ and $y$ can dynamically rotate into any other in-plane direction. This quasi-circular spectrum, a hallmark of Brazovskii-type fluctuations, has immediate consequences to our understanding of rotational and translational symmetry breaking in the cuprates. We discuss how the combination of short- and long-range Coulomb interactions results in an effective non-monotonic potential that may determine the quasi-circular pattern.

arXiv commentThis is a post-peer-review, pre-copyedit version of an article published in Nature Communications. The final authenticated version is available online at: https://doi.org/10.1038/s41467-020-20824-7. Supplementary materials are available through the published version in Nature Communications

References in corpus (43)

• Magic-angle graphene superlattices: a new platform for unconventional superconductivity
• Correlated Insulator Behaviour at Half-Filling in Magic Angle Graphene Superlattices
• Electronic Liquid Crystal Phases of a Doped Mott Insulator
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Magic Angle Spectroscopy
• Charge-Order and Broken Rotational Symmetry in Magic Angle Twisted Bilayer Graphene
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Stripe order in the underdoped region of the two-dimensional Hubbard model
• Charge order driven by Fermi-arc instability in Bi2201
• Spatially modulated "Mottness" in La2-xBaxCuO4
• Resonant x-ray scattering studies of charge order in cuprates
• Three-Dimensional Charge Density Wave Order in YBa2Cu3O6.67 at High Magnetic Fields
• Connection between charge-density-wave order and charge transport in the cuprate superconductors
• Giant phonon anomalies and central peak due to charge density wave formation in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Fluctuation-induced first-order phase transition in Dzyaloshinskii-Moriya helimagnets
• Thermodynamic evidence for nematic phase transition at the onset of pseudogap in YBa${}_2$Cu${}_3$O${}_y$
• Appearance of fluctuating stripes at the onset of the pseudogap in the high-Tc Superconductor Bi2Sr2CaCu2O8+x
• Numerical evidence of fluctuating stripes in the normal state of high-Tc cuprate superconductors
• Charge ordering in the electron-doped superconductor Nd2-xCexCuO4
• Dynamical charge density fluctuations pervading the phase diagram of a Cu-based high-Tc superconductor
• Magnetic field controlled charge density wave coupling in underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Three dimensional collective charge excitations in electron-doped cuprate superconductors
• Dispersive charge density wave excitations and temperature dependent commensuration in Bi2Sr2CaCu2O8+δ
• Anomalous density fluctuations in a strange metal
• Atomic-scale Electronic Structure of the Cuprate d-Symmetry Form Factor Density Wave State
• Dynamical charge density waves rule the phase diagram of cuprates
• Avoided Critical Behavior in a Uniformly Frustrated System
• Doping dependent charge order correlations in electron-doped cuprates
• Phase Diagram of Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ Revisited
• Nature of the charge-density wave excitations in cuprates
• Diagonal Nematicity in the Pseudogap Phase of HgBa${}_2$CuO${}_{4+\delta }$
• Heavy anion solvation of polarity fluctuations in Pnictides
• Stabilization of three-dimensional charge order in YBa${}_2$Cu${}_3$O${}_{6+x}$ via epitaxial growth
• Coupling between dynamic magnetic and charge-order correlations in the cuprate superconductor Nd${}_{2-x}$Ce${}_x$CuO${}_4$
• Spectral properties of incommensurate charge-density wave systems
• Electronic polarons and bipolarons in Fe-based superconductors: a pairing mechanism
• Evolution of charge order topology across a magnetic phase transition in cuprate superconductors
• Mottness at finite doping and charge-instabilities in cuprates
• Sum rule analysis of Umklapp processes and Coulomb energy: application to cuprate superconductivity
• Deconfined critical point in a doped random quantum Heisenberg magnet
• Anomalous density fluctuations in a random $t$-$J$ model
• Conductivity of electronic liquid-crystalline mesophases

Cited by in corpus (21)

• Charge order at high temperature in cuprate superconductors
• Locally commensurate charge-density wave with three-unit-cell periodicity in YBCO
• Charge density waves and Fermi-surface reconstruction in the clean overdoped cuprate superconductor Tl2Ba2CuO6+x
• Fano interference of the Higgs mode in cuprate high-Tc superconductors
• Time-resolved ARPES on cuprates: Tracking the low-energy electrodynamics in the time domain
• Ubiquitous Charge Order Correlations in High-Temperature Superconducting Cuprates
• 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
• Frustrated charge density wave and quasi-long-range bond-orientational order in the magnetic kagome FeGe
• Ring-like shaped charge modulations in the t-J model with long-range Coulomb interaction
• Observing Differential Spin Currents by Resonant Inelastic X-ray Scattering
• Phase Diagram of the Square-Lattice $t$-$J$-$V$ Model for Electron-Doped Cuprates
• Domain Textures in the Fractional Quantum Hall Effect
• Charge-Density-Wave State in Extremely Overdoped Cuprates Driven by Phonons
• Dynamic charge order from strong correlations in the cuprates
• Charge order dynamics in underdoped La${}_{1.6-\text{x}}$Nd${}_{0.4}$Sr${}_{\text{x}}$CuO${}_4$ revealed by electric pulses
• Development of spin fluctuations under the presence of $d$-wave bond order 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${}_4$
• Pairing phase diagram for electron-doped cuprates in the square-lattice $t-U-V$ Hubbard model
• Paring density waves as the origin of a ring-like RIXS profile in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• 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