A unified theory of spin and charge excitations in high-$T_c$ cuprates: Quantitative comparison with experiment and interpretation

Abstract

We provide a unified interpretation of both paramagnon and plasmon modes in high-$T_c$ copper-oxides, and verify it quantitatively against available resonant inelastic $x$-ray scattering (RIXS) data across the hole-doped phase diagram. Three-dimensional extended Hubbard model, with included long-range Coulomb interactions and doping-independent microscopic parameters for both classes of quantum fluctuations, is used. Collective modes are studied using VWF+$1/{\mathcal{N}}_f$ approach which extends variational wave function (VWF) scheme by means of an expansion in inverse number of fermionic flavors ($1/{\mathcal{N}}_f$). We show that intense paramagnons persist along the anti-nodal line from the underdoped to overdoped regime and undergo rapid overdamping in the nodal direction. Plasmons exhibit a three-dimensional character, with minimal energy corresponding to anti-phase oscillations on neighboring $\mathrm{Cu}{\mathrm{O}}_2$ planes. The theoretical spin- and charge excitation energies reproduce semi-quantitatively RIXS data for $(\mathrm{Bi},\mathrm{Pb}{)}_2(\mathrm{Sr},\mathrm{La}{)}_2\mathrm{Cu}{\mathrm{O}}_{6+\delta }$. The present VWF+$1/{\mathcal{N}}_f$ analysis of dynamics and former VWF results for static quantities combine into a consistent description of the principal properties of hole-doped high-$T_c$ cuprates as strongly correlated systems.

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Cited by in corpus (16)

• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Gapped collective charge excitations and interlayer hopping in cuprate superconductors
• Evolution of plasmon excitations across the phase diagram of the cuprate superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$
• Plasmon dispersion in bilayer cuprate superconductors
• Impact of electron correlations on two-particle charge response in electron- and hole-doped cuprates
• Theory of charge dynamics in bilayer electron system with long-range Coulomb interaction
• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• Ising and XY paramagnons in two-dimensional 2H-NbSe${}_2$
• Spin and bond-charge excitation spectra in correlated electron systems near antiferromagnetic phase
• Plasmarons in high-temperature cuprate superconductors
• Collective spin and charge excitations in the $t$-$J$-$U$ model of high-$T_c$ cuprates
• Evolution of the magnetic excitations in electron-doped ${\mathrm{La}}_{2-x}{\mathrm{Ce}}_x{\mathrm{CuO}}_4$
• Collective mode excitations and simulated $L$-edge resonant-inelastic x-ray scattering spectra in antiferromagnetic Ca${}_2$RuO${}_4$
• Strongly correlated model of acousticlike plasmons persisting across the phase diagram of cuprate superconductors
• Electron-hole asymmetry of quantum collective excitations in high-$T_c$ copper oxides
• Beyond on-site Hubbard interaction in charge dynamics of cuprate superconductors