Collective spin and charge excitations in the $t$-$J$-$U$ model of high-$T_c$ cuprates

Abstract

The $t$-$J$-$U$ model of high-$T_c$ copper-oxide superconductors incorporates both the on-site Coulomb repulsion and kinetic exchange interaction and yields a semi-quantitative description of the static properties of those materials. We extend this analysis to dynamic quantities and address collective spin- and charge excitations in the correlated metallic state of the $t$-$J$-$U$ model. We employ VWF+$1/{\mathcal{N}}_f$ approach that combines the variational wave function (VWF) approach with the expansion in the inverse number of fermionic flavors ($1/{\mathcal{N}}_f$). It is shown that the resonant (paramagnon) contribution to the dynamic magnetic susceptibility remains robust as one interpolates between the Hubbard- and $t$-$J$-model limits, whereas the incoherent continuum undergoes substantial renormalization. Energy of the collective charge mode diminishes as the strong-coupling limit is approached. We also introduce the concept of effective kinetic exchange interaction that allows for a unified interpretation of magnetic dynamics in the Hubbard, $t$-$J$, and $t$-$J$-$U$ models. The results are discussed in the context of recent resonant inelastic $x$-ray scattering experiments for the high-$T_c$ cuprates.

References in corpus (38)

• Intense paramagnon excitations in a large family of high-temperature superconductors
• Persistence of magnetic excitations in La2-xSrxCuO4 from the undoped insulator to the heavily overdoped non-superconducting metal
• Strength of the Spin-Fluctuation-Mediated Pairing Interaction in a High-Temperature Superconductor
• Three dimensional collective charge excitations in electron-doped cuprate superconductors
• Persistent spin excitations in doped antiferromagnets revealed by resonant inelastic light scattering
• Asymmetry of collective excitations in electron and hole doped cuprate superconductors
• High-energy spin and charge excitations in electron-doped copper oxide superconductors
• Persistent high-energy spin excitations in iron pnictide superconductors
• Persistent paramagnons deep in the metallic phase of Sr${}_{2-x}$La${}_x$IrO${}_4$
• Detection of Acoustic Plasmons in Hole-Doped Lanthanum and Bismuth Cuprate Superconductors Using Resonant Inelastic X-Ray Scattering
• Phases of the infinite U Hubbard model
• Dispersion, damping, and intensity of spin excitations in the single-layer (Bi,Pb)${}_2$(Sr,La)${}_2$CuO${}_{6+\delta }$ cuprate superconductor family
• Variational study of Fermi-surface deformations in Hubbard models
• Universal properties of high temperature superconductors from real space pairing: t-J-U model and its quantitative comparison with experiment
• Polarization resolved Cu $L_3$-edge resonant inelastic x-ray scattering of orbital and spin excitations in NdBa${}_2$Cu${}_3$O${}_{7-\delta }$
• Doping evolution of the charge excitations and electron correlations in electron-doped superconducting La${}_{2-x}$Ce${}_x$CuO${}_4$
• Plasmon excitations in layered high-Tc cuprates
• Doping dependence of the magnetic excitations in La${}_{2-x}$Sr${}_x$CuO${}_4$
• Acoustic plasmons and conducting carriers in hole-doped cuprate superconductors
• Observation of a dispersive charge mode in hole-doped cuprates using resonant inelastic x-ray scattering at the oxygen K edge
• Anisotropic damping of the spin fluctuations in doped La2-xSrxCuO4 studied by resonant inelastic x-ray scattering
• Crossover from Collective to Incoherent Spin Excitations in Superconducting Cuprates Probed by Detuned Resonant Inelastic X-ray Scattering
• High-energy magnetic excitations in overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ studied by neutron and resonant inelastic X-ray scattering
• High temperature superconductivity in the two-dimensional $t$-$J$ model: Gutzwiller wave function solution
• RIXS studies of magnons and bimagnons in the lightly doped cuprate La2-xSrxCuO4
• Universal properties of high-temperature superconductors from real-space pairing III: The role of correlated hopping and intersite Coulomb interaction within the t-J-U model
• Effect of interlayer processes on the superconducting state within t-J-U model: Full Gutzwiller wave-function solution and relation to experiment
• The breakdown of the Nagaoka phase in the 2D t-J model
• Damped spin excitations in a doped cuprate superconductor with orbital hybridization
• Incorporation of charge- and pair-density-wave states into the one-band model of d-wave superconductivity
• Close inspection of plasmon excitations in cuprate superconductors
• A unified theory of spin and charge excitations in high-$T_c$ cuprates: Quantitative comparison with experiment and interpretation
• Charge Excitations in Nd${}_{2-x}$Ce${}_x$CuO${}_4$ Observed with Resonant Inelastic X-ray Scattering: Comparison of Cu K-edge with Cu L${}_3$-edge
• Robust spin and charge excitations throughout high-$T_c$-cuprate phase diagram from incipient Mottness
• Charge-Density-Excitation Spectrum in the t-t'-J-V Model
• Charge susceptibility in the t-J model
• Magnetic phase diagram of the infinite-U Hubbard model with nearest- and next nearest-neighbor hoppings
• Universal collective modes from strong electronic correlations: Modified $1/{\mathcal{N}}_f$ theory with application to high-$T_c$ cuprates

Cited by in corpus (2)

• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Electron-hole asymmetry of quantum collective excitations in high-$T_c$ copper oxides