Charge-fluctuations in lightly hole-doped cuprates: effect of vertex corrections

Abstract

Identification of the electronic state that appears upon doping a Mott insulator is important to understand the physics of cuprate high-temperature superconductors. Recent scanning tunneling microscopy of cuprates provides evidence that a charge-ordered state emerges before the superconducting state upon doping the parent compound. We study this phenomenon by computing the charge response function of the Hubbard model including frequency-dependent local vertex corrections that satisfy the compressibility sum-rule. We find that upon approaching the Mott phase from the overdoped side, the charge fluctuations at wave vectors connecting hot spots are suppressed much faster than at the other wave-vectors. It leads to a momentum dependence of the dressed charge susceptibility that is very different from either the bare susceptibility or from the susceptibility obtained from the random phase approximation. We also find that the paramagnetic lightly hole-doped Mott phase at finite-temperature is unstable to charge ordering only at zero wave-vector, confirming the results previously obtained from the compressibility. Charge order is driven by the frequency-dependent scattering processes that induce an attractive particle-hole interaction at large interaction strength and small doping.

arXiv commentLaTex, 13 pages, 7 figures

References in corpus (88)

• Electronic Structure Calculations with Dynamical Mean-Field Theory: A Spectral Density Functional Approach
• How to detect fluctuating order in the high-temperature superconductors
• Quantum Cluster Theories
• Long-range incommensurate charge fluctuations in (Y,Nd)Ba2Cu3O(6+x)
• Direct observation of competition between superconductivity and charge density wave order in YBa2Cu3Oy
• Theory of Intertwined Orders in High Temperature Superconductors
• Quantum oscillations and the Fermi surface in an underdoped high-Tc superconductor
• A Four-Unit-Cell Periodic Pattern of Quasiparticle States Surrounding Vortex Cores in Bi2Sr2CaCu2O8+d
• Magnetic-field-induced charge-stripe order in the high temperature superconductor YBa2Cu3Oy
• Band-structure trend in hole-doped cuprates and correlation with Tcmax
• Intra-unit-cell electronic nematicity of the high-Tc copper-oxide pseudogap states
• Ubiquitous Interplay between Charge Ordering and High-Temperature Superconductivity in Cuprates
• Local Ordering in the Pseudogap State of the High-T${}_c$ Superconductor Bi${}_2$Sr${}_2$CaCu${}_2$O${}_{8+\delta }$
• Electron pockets in the Fermi surface of hole-doped high-Tc superconductors
• Competing states in the t-J model: uniform d-wave state versus stripe state
• Intense paramagnon excitations in a large family of high-temperature superconductors
• Diagrammatic routes to nonlocal correlations beyond dynamical mean field theory
• Dynamical vertex approximation - a step beyond dynamical mean field theory
• Charge density wave origin of cuprate checkerboard visualized by scanning tunneling microscopy
• Resonant X-ray Scattering Study of Charge Density Wave Correlations in YBa${}_2$Cu${}_3$O${}_{6+x}$
• Simultaneous Transitions in Cuprate Momentum-Space Topology and Electronic Symmetry Breaking
• Incipient charge order observed by NMR in the normal state of YBa2Cu3Oy
• Emergence of charge order from the vortex state of a high temperature superconductor
• X-ray diffraction observation of charge density wave order at zero magnetic field in ortho-II YBa${}_2$Cu${}_3$O${}_{6.54}$
• 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
• Momentum-dependent charge correlations in YBa${}_2$Cu${}_3$O${}_{6+\delta }$ superconductors probed by resonant x-ray scattering: Evidence for three competing phases
• Local Electronic Correlation at the Two-Particle Level
• Pseudogap and high-temperature superconductivity from weak to strong coupling. Towards quantitative theory
• Fermi-surface reconstruction by stripe order in cuprate superconductors
• Fermi Surface and Pseudogap Evolution in a Cuprate Superconductor
• Magnetic field controlled charge density wave coupling in underdoped YBa${}_2$Cu${}_3$O${}_{6+x}$
• Non-existence of the Luttinger-Ward functional and misleading convergence of skeleton diagrammatic series for Hubbard-like models
• Antiferromagnetic to superconducting phase transition in the hole- and electron-doped Hubbard model at zero temperature
• Mott physics and spin fluctuations: a unified framework
• Phase separation and stripe formation in the 2D t-J model: a comparison of numerical results
• Phase separation at all interaction strengths in the t-J model
• Divergent Precursors of the Mott-Hubbard Transition at the Two-Particle Level
• Visualizing the emergence of the pseudogap state and the evolution to superconductivity in a lightly hole-doped Mott insulator
• Coexistence of charge-density-wave and pair-density-wave orders in underdoped cuprates
• Visualizing the evolution from the Mott insulator to a charge ordered insulator in lightly doped cuprates
• Finite doping signatures of the Mott transition in the two-dimensional Hubbard model
• Breakdown of traditional many-body theories for correlated electrons
• Pseudogap temperature as a Widom line in doped Mott insulators
• Commensurate $4a_0$ period Charge Density Modulations throughout the $B{i}_{2}S{r}_{2}CaC{u}_2{O}_{8+x}$ Pseudogap Regime
• Non-perturbative landscape of the Mott-Hubbard transition: Multiple divergence lines around the critical endpoint
• Charge Order in the Pseudogap Phase of Cuprate Superconductors
• Mott physics and first-order transition between two metals in the normal state phase diagram of the two-dimensional Hubbard model
• Mott physics and spin fluctuations: a functional viewpoint
• Dynamical charge density waves rule the phase diagram of cuprates
• Metallic mean-field stripes, incommensurability and chemical potential in cuprates
• Bond order instabilities in a correlated two-dimensional metal
• Impact of nonlocal correlations over different energy scales: A Dynamical Vertex Approximation study
• Cascade of phase transitions in the vicinity of a quantum critical point
• Divergences of the irreducible vertex functions in correlated metallic systems: Insights from the Anderson Impurity Model
• Quantum dynamical screening of the local magnetic moment in Fe-based superconductors
• Interplay between pair-density-wave and charge-density-wave orders in underdoped cuprates
• Phase separation in the Hubbard model
• Parquet decomposition calculations of the electronic self-energy
• Spin-Fluctuation-Driven Nematic Charge-Density-Wave in Cuprate Superconductors: Impact of Aslamazov-Larkin-Type Vertex Correction
• Collective Charge Excitations of Strongly Correlated Electrons, Vertex Corrections and Gauge Invariance
• Pseudogap, charge order, and pairing density wave at the hot spots in cuprate superconductors
• Practical consequences of Luttinger-Ward functional multivaluedness for cluster DMFT methods
• Mott physics and collective modes: an atomic approximation of the four-particle irreducible functional
• Analytical investigation of singularities in two-particle irreducible vertex functions of the Hubbard atom
• Unrestricted slave-boson mean-field approximation for the two-dimensional Hubbard model
• Diagrammatic Monte Carlo approach for diagrammatic extensions of dynamical mean-field theory -- convergence analysis of the dual fermion technique
• Emergent loop current order from pair density wave superconductivity
• Effect of magnetic field on competition between superconductivity and charge order below the pseudogap state
• Green's Function Monte Carlo for Lattice Fermions: Application to the t-J Model
• Renormalization group analysis of the pair-density-wave and charge order within the fermionic hot-spot model for cuprate superconductors
• Antiferromagnetism and phase separation in the t-J model at low doping: a variational study
• Correlation-driven Lifshitz transition at the emergence of the pseudogap phase in the two-dimensional Hubbard model
• A dynamical mean-field theory study of stripe order and d-wave superconductivity in the two-dimensional Hubbard model
• Correlation-enhanced odd-parity inter-orbital singlet pairing in the iron-pnictide superconductor LiFeAs
• Checkerboard patterns in the t-J model
• Double occupancy in DMFT and the Dual Boson approach
• Phase separation in doped Mott insulators
• $p$-orbital density wave with $d$ symmetry in high-$T_c$ cuprate superconductors predicted by the renormalization-group + constrained RPA theory
• Vortices and charge order in high-T_c superconductors
• Thermodynamic consistency of the charge response in dynamical mean-field based approaches
• Antiferromagnetism, Stripes, and Superconductivity in the t-J Model with Coulomb Interaction
• Interplay Between $d$-wave Superconductivity and a Bond Density Wave in the one-band Hubbard model
• Quantum Criticality and Incipient Phase Separation in the Thermodynamic Properties of the Hubbard Model
• Pseudogap and (an)isotropic scattering in the fluctuating charge-density wave phase of cuprates
• Superconducting and charge-density-wave orders in the spin-fermion model: a comparative analysis
• Pseudogap to metal transition in the anisotropic two-dimensional Hubbard model
• The Effect of Pointlike Impurities on d_{x^2-y^2} Charge Density Waves in Cuprate Superconductors
• Effect of nonsymmorphic space group on correlation functions in iron-based superconductors

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