Anomalous isotopic effect near the charge-ordering quantum criticality

Abstract

Within the Hubbard-Holstein model, we evaluate the various crossover lines marking the opening of pseudogaps in the cuprates, which, in our scenario, are ruled by the proximity to a charge-ordering quantum criticality (stripe formation). We provide also an analysis of their isotopic dependencies, as produced by critical fluctuations. We find no isotopic shift of the temperature $T^0$ marked as a reduction of the quasiparticle density of states in various experiments, and a substantial positive shift of the pseudogap-formation temperature $T^{\ast }$. We infer that the superconducting critical temperature $T_c$ has almost no shift in the optimally- and overdoped regimes while it has a small negative isotopic shift in the underdoped, which increses upon underdoping. We account also for the possible dynamical nature of the charge-ordering transition, and explain in this way the spread of the values of $T^{\ast }$ and its of isotopic shift, obtained with experimental probes having different characteristic timescales.

4 pages, 3 figures

Cited by in corpus (66)

• Inelastic Light Scattering From Correlated Electrons
• Charge-density-wave order with momentum $(2Q,0)$ and $(0,2Q)$ within the spin-fermion model: continuous and discrete symmetry breaking, preemptive composite order, and relation to pseudogap in hole-doped cuprates
• Dynamical charge density fluctuations pervading the phase diagram of a Cu-based high-Tc superconductor
• Competing orders in a magnetic field: spin and charge order in the cuprate superconductors
• Pseudogap from ARPES experiment: three gaps in cuprates and topological superconductivity
• Re-entrant charge order in overdoped (Bi,Pb)${}_{2.12}$Sr${}_{1.88}$CuO${}_{6+\delta }$ outside the pseudogap regime
• Interplay between electron-phonon and Coulomb interactions in cuprates
• Dynamical charge density waves rule the phase diagram of cuprates
• Phase Separation close to the density-driven Mott transition in the Hubbard-Holstein model
• Superconductivity near a quantum-critical point: The special role of the first Matsubara frequency
• Proximity of Iron Pnictide Superconductors to a Quantum Tricritical Point
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Infrared signatures of charge stripes in La(2-x)Sr(x)CuO(4)
• Singular perturbation theory for interacting fermions in two dimensions
• Charge order at high temperature in cuprate superconductors
• Observation of an unconventional metal-insulator transition in overdoped CuO_2 compounds
• Intermediate Coupling Model of the Cuprates
• Dynamical Properties of Charged Stripes in La_{2-x}Sr_xCuO_4
• Interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal. I: The $\gamma$-model and its phase diagram at $T=0$. The case $0<\gamma <1$
• Charge-fluctuation contribution to the Raman response in superconducting cuprates
• Effect of magnetic field on competition between superconductivity and charge order below the pseudogap state
• Strange metal behaviour from charge density fluctuations in cuprates
• Mode-Coupling Model of Mott Gap Collapse in the Cuprates: Natural Phase Boundary for Quantum Critical Points
• Correlations Between Charge Ordering and Local Magnetic Fields in Overdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Electron interactions and charge ordering in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Signature of quantum criticality in cuprates by charge density fluctuations
• Enhancement of superconductivity at the onset of charge-density-wave order in a metal
• Anomalous optical absorption in overdoped cuprates near the charge-ordering instability
• The special role of the first Matsubara frequency for superconductivity near a quantum-critical point -- the non-linear gap equation below $T_c$ and spectral properties in real frequencies
• Strongly coupled quantum criticality with a Fermi surface in two dimensions: fractionalization of spin and charge collective modes
• Gutzwiller Magnetic Phase Diagram of the Cuprates
• The interplay between superconductivity and non-Fermi liquid at a quantum-critical point in a metal
• Ward identities for strongly coupled Eliashberg theories
• Evidence for strong lattice effects as revealed from huge unconventional oxygen isotope effects on the pseudogap temperature in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Electronic polymers and soft-matter-like broken symmetries in underdoped cuprates
• Superconductivity of incoherent electrons in Yukawa-SYK model
• Optical conductivity near finite-wavelength quantum criticality
• Unusual interplay between copper-spin and vortex dynamics in slightly overdoped La{1.83}Sr{0.17}CuO{4}
• Magnetic Properties and Phase Diagram of Li-doped La(2)CuO(4): Common Magnetic Response of Hole-doped CuO2 Planes
• Pseudogap and (an)isotropic scattering in the fluctuating charge-density wave phase of cuprates
• Theory of isotope effect in photoemission spectra of high-T_c superconducting cuprates
• Kinks and waterfalls as signatures of competing order in angle-resolved photoemission spectra of La_{2-x}Sr_xCuO_4
• Superconductivity out of a non-Fermi liquid. Free energy analysis
• Doping-dependent competition between superconductivity and polycrystalline charge density waves
• Signatures of nematic quantum critical fluctuations in the Raman spectra of lightly doped cuprates
• Interplay between uni-directional and bi-directional charge-density-wave orders in underdoped cuprates
• Spectral signatures of critical charge and spin fluctuations in cuprates
• Doping-driven transition to a time-reversal breaking state in the phase diagram of the cuprates
• Effective electron-electron and electron-phonon interactions in the Hubbard-Holstein model
• Role of electron-phonon interaction in a magnetically driven mechanism for superconductivity
• Charge fluctuations in the unconventional metallic state of Li0.9Mo6O17
• Coincident onset of charge order and pseudogap in a homogeneous high-temperature superconductor
• Fluctuating charge order in the cuprates: spatial anisotropy and feedback from superconductivity
• On the contribution of nearly-critical spin and charge collective modes to the Raman spectra of high-Tc cuprates
• Low-energy signatures of charge and spin fluctuations in Raman and optical spectra of the cuprates
• Condensation energy in Eliashberg theory -- from weak to strong coupling
• Resonant pairing isotope effect in polaronic systems
• Strong correlation, electron-phonon interaction and critical fluctuations: Isotope effect, pseudogap formation, and phase diagram of the cuprates
• Charge inhomogeneity coexisting with large Fermi surfaces
• Charge instabilities in strongly correlated bilayer systems
• Spectroscopic evidences of quantum critical charge fluctuations in cuprates
• Time Reversal Breaking Superconducting State in the Phase Diagram of the Cuprates
• Self-organized electronic superlattices in layered materials
• Unravelling the glue and the competing order in superconducting cuprates
• Luttinger liquid, singular interaction and quantum criticality in cuprate materials
• Entropic Origin of Pseudogap Physics and a Mott-Slater Transition in Cuprates