Close inspection of plasmon excitations in cuprate superconductors

Abstract

Recently resonant inelastic x-ray scattering experiments reported fine details of the charge excitations around the in-plane momentum ${\mathbf{q}}_{\parallel }=(0,0)$ for various doping rates in electron-doped cuprates $\mathrm{L}{\mathrm{a}}_{2-\mathrm{x}}\mathrm{C}{\mathrm{e}}_{\mathrm{x}}\mathrm{Cu}{\mathrm{O}}_4$. We find that those new experimental data are well captured by acoustic-like plasmon excitations in a microscopic study of the layered $t$-$J$ model with the long-range Coulomb interaction. The acoustic-like plasmon is not a usual plasmon typical to the two-dimensional system, but has a small gap proportional to the interlayer hopping $t_z$.

arXiv comment14 pages, 4 figures

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• Evolution of plasmon excitations across the phase diagram of the cuprate superconductor La${}_{2-x}$Sr${}_x$CuO${}_4$
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• Plasmon dispersion in bilayer cuprate superconductors
• Theoretical insights into electronic nematic order, bond-charge orders, and plasmons in cuprate superconductors
• Electron self-energy from quantum charge fluctuations in the layered t-J model with long-range Coulomb interaction
• 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
• Ring-like shaped charge modulations in the t-J model with long-range Coulomb interaction
• Unusual Low-Energy Collective Charge Excitations in High-$T_c$ Cuprate Superconductors
• Low-energy plasmon excitations in infinite-layer nickelates
• Universal collective modes from strong electronic correlations: Modified $1/{\mathcal{N}}_f$ theory with application to high-$T_c$ cuprates
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• Strong-coupling theory of bilayer plasmon excitations
• Retaining Landau quasiparticles in the presence of realistic charge fluctuations in cuprates
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