Isotope effect and bond-stretching phonon anomaly in high-Tc cuprates

Abstract

We analyse a model where the anomalies of the bond-stretching LO phonon mode are caused by the coupling to electron dynamic response in the form of a damped oscillator and explore the possibility to reconstruct the spectrum of the latter from the phonon measurements. Preliminary estimates point to its location in the mid infrared region and we show how the required additional information can be extracted from the oxygen isotope effect on the phonon spectrum. The model predicts a significant measurable deviation from the "standard value" of the isotope effect even if the phonon frequency is far below the electron spectrum, provided the latter is strongly incoherent. In this regime, which corresponds to the "mid infrared scenario", the phonon linewidth becomes a sensitive and informative probe of the isotope effect.

10 pages, 2 figures, added references

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Cited by in corpus (32)

• Resonant x-ray scattering studies of charge order in cuprates
• Giant phonon anomalies and central peak due to charge density wave formation in YBa${}_2$Cu${}_3$O${}_{6.6}$
• Charge density wave fluctuations in La2-xSrxCuO4 and their competition with superconductivity
• An inelastic x-ray study of phonon broadening and charge density wave formation in ortho-II ordered YBa2Cu3O6.54
• Spectroscopic Evidence for Charge Order Melting via Quantum Fluctuations in a Cuprate
• Rattling mode and symmetry lowering resulting from instability of B${}_{12}$-molecule in LuB${}_{12}$
• Incommensurate phonon anomaly and the nature of charge density waves in cuprates
• Evidence for a charge collective mode associated with superconductivity in copper oxides from neutron and x-ray scattering measurements of La${}_{2-x}$Sr${}_x$CuO${}_4$
• Enhanced Spin-polarization via Partial Ge1-dimerization as the Driving Force of the 2$\times$2$\times$2 CDW in FeGe
• Observation of dynamic charge stripes in Tm0.19Yb0.81B12 at the metal-insulator transition
• Anisotropic damping of the spin fluctuations in doped La2-xSrxCuO4 studied by resonant inelastic x-ray scattering
• Giant electron-phonon anomaly in doped La2CuO4 and other cuprates
• Magnetic excitations and phonons simultaneously studied by resonant inelastic x-ray scattering in optimally doped Bi${}_{1.5}$Pb${}_{0.55}$Sr${}_{1.6}$La${}_{0.4}$CuO${}_{6+\delta }$
• Charge Order Lock-in by Electron-Phonon Coupling in La${}_{1.675}$Eu${}_{0.2}$Sr${}_{0.125}$CuO${}_4$
• Unusual dynamic charge-density-wave correlations in HgBa${}_2$CuO${}_{4+\delta }$
• Lattice dynamical signature of charge density wave formation in underdoped YBa2Cu3O6+x
• A strong coupling critique of spin fluctuation driven charge order in underdoped cuprates
• Effect of the electronic charge gap on LO bond-stretching phonons in undoped La${}_2$CuO${}_4$ calculated using LDA+U
• Possible enhancement of the superconducting $T_c$ due to sharp Kohn-like soft phonon anomalies
• Introduction to High-Resolution Inelastic X-Ray Scattering
• Phonon spectrum of underdoped ${\text{HgBa}}_2{\text{CuO}}_{4+\delta }$ investigated by neutron scattering
• Anomalous softening of phonon-dispersion in cuprate superconductors
• Low-energy phonons in Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$ and their possible interaction with electrons measured by inelastic neutron scattering
• Inelastic X-ray scattering studies of phonon dispersions in superconductors at high pressures
• Inhomogeneous superconductivity in LuxZr1-xB12 dodecaborides with dynamic charge stripes
• Automating Analysis of Neutron Scattering Time-of-Flight Single Crystal Phonon Data
• Relaxation timescales and electron-phonon coupling in optically-pumped YBa${}_2$Cu${}_3$O${}_{6+x}$ revealed by time-resolved Raman scattering
• In-plane Isotropy of the Low Energy Phonon Anomalies in YBa${}_2$Cu${}_3$O${}_{6+x}$
• The significance of "stripes" in the physics of the cuprates, the Hubbard model, and other highly correlated electronic systems
• Anomalous Dispersion of LO Phonons in Oxygen-Doped La${}_{2-x}$Sr${}_x$CuO${}_{4+\delta }$
• Giant electron-phonon coupling of the breathing plane oxygen phonons in the dynamic stripe phase of La${}_{1.67}$Sr${}_{0.33}$NiO${}_4$
• Superconductivity Reinforces Charge-Density-Wave Phase Coherence across Cuprates