Emergent Charge Order from Correlated Electron-Phonon Physics in Cuprates

Abstract

Charge-density wave order is now understood to be a widespread feature of underdoped cuprate high-temperature superconductors, although its origins remain unclear. While experiments suggest that the charge-ordering wavevector is determined by Fermi-surface nesting, the relevant sections of the Fermi surface are featureless and provide no clue as to the underlying mechanism. Here, focusing on underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$, we propose a scenario that traces the charge-density wave formation to the incipient softening of a bond-buckling phonon. The momentum dependence of its coupling to the electrons in the copper-oxygen planes favourably selects the incommensurate and axial ordering wavevector found in experiments. But, it requires strong electronic correlations via their cuprate-specific renormalization of the weight and the dispersion of quasiparticles to enable a unique enhancement of the charge susceptibility near the B${}_{1g}$-phonon selected wavevector. The frequency of the B${}_{1g}$ phonon softens by a few percent, and a lattice instability with concomitant finite-range charge-density wave correlations will form locally, if nucleated by defects or dopant disorder. These results offer the perspective that the complex phase diagram of underdoped cuprates cannot be understood in the context of strong electronic correlations alone.

20 pages, 5 figures and supplemental materials

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Cited by in corpus (14)

• Charge density waves in YBa${}_2$Cu${}_3$O${}_{6.67}$ probed by resonant x-ray scattering under uniaxial compression
• Locally commensurate charge-density wave with three-unit-cell periodicity in YBCO
• Charge Order Lock-in by Electron-Phonon Coupling in La${}_{1.675}$Eu${}_{0.2}$Sr${}_{0.125}$CuO${}_4$
• Stripe correlations in the two-dimensional Hubbard-Holstein model
• Fate of charge order in overdoped La-based cuprates
• Critical role of magnetic moments on lattice dynamics in YBa${}_2$Cu${}_3$O${}_6$
• Discovery of Orbital Ordering in Bi2Sr2CaCu2O8+x
• Ring-like shaped charge modulations in the t-J model with long-range Coulomb interaction
• Exact solution of two simple non-equilibrium electron-phonon and electron-electron coupled systems: the atomic limit of the Holstein-Hubbard model and the generalized Hatsugai-Komoto model
• Charge order near the antiferromagnetic quantum critical point in the trilayer high $T_c$ cuprate HgBa${}_2$Ca${}_2$Cu${}_3$O${}_{8+\delta }$
• $\pi$-Phase shift across stripes in a charge density wave system
• $B_{1g}$ phonon anomaly driven by Fermi surface instability at intermediate temperature in YBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Selective coupling of coherent optical phonons in YBa${}_2$Cu${}_3$O${}_{7-\delta }$ with electronic transitions
• Intrinsic Hallmarks of Phonon-Induced Charge Order in Cuprates