Damped spin excitations in a doped cuprate superconductor with orbital hybridization

Abstract

A resonant inelastic x-ray scattering (RIXS) study of overdamped spin-excitations in slightly underdoped La${}_{2-x}$Sr${}_x$CuO${}_4$ (LSCO) with $x=0.12$ and $0.145$ is presented. Three high-symmetry directions have been investigated: (1) the antinodal $(0,0)\to (1/2,0)$, (2) the nodal $(0,0)\to (1/4,1/4)$ and (3) the zone boundary direction $(1/2,0)\to (1/4,1/4)$ connecting these two. The overdamped excitations exhibit strong dispersions along (1) and (3), whereas a much more modest dispersion is found along (2). This is in strong contrast to the undoped compound La${}_2$CuO${}_4$ (LCO) for which the strongest dispersions are found along (1) and (2). The $t-t^{\prime }-t^{\prime \prime }-U$ Hubbard model used to explain the excitation spectrum of LCO predicts $-$ for constant $U/t$ $-$ that the dispersion along (3) scales with $(t^{\prime }/t{)}^2$. However, the diagonal hopping $t^{\prime }$ extracted on LSCO using single-band models is low ($t^{\prime }/t\sim -0.16$) and decreasing with doping. We therefore invoked a two-orbital ($d_{x^2-y^2}$ and $d_{z^2}$) model which implies that $t^{\prime }$ is enhanced. This effect acts to enhance the zone-boundary dispersion within the Hubbard model. We thus conclude that hybridization of $d_{x^2-y^2}$ and $d_{z^2}$ states has a significant impact on the zone-boundary dispersion in LSCO.

arXiv comment10 pages, 7 figures

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• Dispersion, damping, and intensity of spin excitations in the single-layer (Bi,Pb)${}_2$(Sr,La)${}_2$CuO${}_{6+\delta }$ cuprate superconductor family
• Strain-Engineering Mott-Insulating La${}_2$CuO${}_4$
• Direct Observation of Orbital Hybridisation in a Cuprate Superconductor
• Superconductivity in high-$T_c$ and related strongly correlated systems from variational perspective: Beyond mean field theory
• Strongly-overdoped La${}_{2-x}$Sr${}_x$CuO${}_4$: Evidence for Josephson-coupled grains of strongly-correlated superconductor
• Unusual dynamic charge-density-wave correlations in HgBa${}_2$CuO${}_{4+\delta }$
• Uniaxial Pressure Induced Stripe Order Rotation in La${}_{1.88}$Sr${}_{0.12}$CuO${}_4$
• A unified theory of spin and charge excitations in high-$T_c$ cuprates: Quantitative comparison with experiment and interpretation
• Fate of charge order in overdoped La-based cuprates
• Robust spin and charge excitations throughout high-$T_c$-cuprate phase diagram from incipient Mottness
• Resonant inelastic X-ray scattering study of spin-wave excitations in the cuprate parent compound Ca${}_2$CuO${}_2$Cl${}_2$
• Strain-Tuned Magnetic Frustration in a Square Lattice $J_1$-$J_2$ Material
• Magnon interactions in a moderately correlated Mott insulator
• Unravelling the Nature of Spin Excitations Disentangled from Charge Contributions in a Doped Cuprate Superconductor
• Universal collective modes from strong electronic correlations: Modified $1/{\mathcal{N}}_f$ theory with application to high-$T_c$ cuprates
• Spin and bond-charge excitation spectra in correlated electron systems near antiferromagnetic phase
• Evolution of the magnetic excitations in electron-doped ${\mathrm{La}}_{2-x}{\mathrm{Ce}}_x{\mathrm{CuO}}_4$
• Collective spin and charge excitations in the $t$-$J$-$U$ model of high-$T_c$ cuprates
• Effect of strain-induced orbital splitting on the magnetic excitations in undoped cuprates
• Electron-hole asymmetry of quantum collective excitations in high-$T_c$ copper oxides
• Magnetic Excitations of a Half-Filled Tl-based Cuprate