Doping evolution of spin and charge excitations in the Hubbard model

Abstract

To shed light on how electronic correlations vary across the phase diagram of the cuprate superconductors, we examine the doping evolution of spin and charge excitations in the single-band Hubbard model using determinant quantum Monte Carlo (DQMC). In the single-particle response, we observe that the effects of correlations weaken rapidly with doping, such that one may expect the random phase approximation (RPA) to provide an adequate description of the two-particle response. In contrast, when compared to RPA, we find that significant residual correlations in the two-particle excitations persist up to $40\%$ hole and $15\%$ electron doping (the range of dopings achieved in the cuprates). These fundamental differences between the doping evolution of single- and multi-particle renormalizations show that conclusions drawn from single-particle processes cannot necessarily be applied to multi-particle excitations. Eventually, the system smoothly transitions via a momentum-dependent crossover into a weakly correlated metallic state where the spin and charge excitation spectra exhibit similar behavior and where RPA provides an adequate description.

5 pages, 4 figures, plus supplementary material

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Cited by in corpus (30)

• Cuprate superconductors as viewed through a striped lens
• Characterizing the three-orbital Hubbard model with determinant quantum Monte Carlo
• Dispersion, damping, and intensity of spin excitations in the single-layer (Bi,Pb)${}_2$(Sr,La)${}_2$CuO${}_{6+\delta }$ cuprate superconductor family
• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Crossover from Collective to Incoherent Spin Excitations in Superconducting Cuprates Probed by Detuned Resonant Inelastic X-ray Scattering
• Spectral function of the 2D Hubbard model: a density matrix renormalization group plus cluster perturbation theory study
• Collective modes in the paramagnetic phase of the Hubbard model
• Dynamical Charge Susceptibility in the Hubbard Model
• Numerically exploring the 1D-2D dimensional crossover on spin dynamics in the doped Hubbard model
• Quantum spin fluctuations and evolution of electronic structure in cuprates
• Doping evolution of charge and spin excitations in two-leg Hubbard ladders: comparing DMRG and RPA+FLEX results
• Decrease of d-wave pairing strength in spite of the persistence of magnetic excitations in the overdoped Hubbard model
• Robust superconducting correlation against inter-site interactions in the extended two-leg Hubbard ladder
• Resolving the nature of electronic excitations in resonant inelastic x-ray scattering
• Spectroscopic signatures of next-nearest-neighbor hopping in the charge and spin dynamics of doped one-dimensional antiferromagnets
• Influence of Magnetism and Correlation on the Spectral Properties of Doped Mott Insulators
• Thermodynamics of correlated electrons in a magnetic field
• Magnon heat transport in a two-dimensional Mott insulator
• One- and two-particle properties of the weakly interacting two-dimensional Hubbard model in proximity to the van Hove singularity
• Intertwined states at finite temperatures in the Hubbard model
• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• Short-range charge fluctuations in the two-dimensional Hubbard model
• Universal collective modes from strong electronic correlations: Modified $1/{\mathcal{N}}_f$ theory with application to high-$T_c$ cuprates
• Back-reaction and correlation effects on pre-thermalization in Mott-Hubbard systems
• Joule heating in bad and slow metals
• Spin excitation spectrum of high-temperature cuprate superconductors from finite cluster simulations
• Attraction versus repulsion between doublons or holons in Mott-Hubbard systems
• Spin and charge order in doped spin-orbit coupled Mott insulators
• Exploring kinetically induced bound states in triangular lattices with ultracold atoms: spectroscopic approach
• Effect of the next-nearest-neighbor hopping on the charge collective modes in the paramagnetic phase of the Hubbard model