Spinon-orbiton repulsion and attraction mediated by Hund's rule

Abstract

We study the impact of Hund's-rule coupling on orbital excitations, as e.g. measured in inelastic resonant x-ray scattering. We find that the interpretation in terms of spin-orbit separation, which has been derived for one-dimensional systems without Hund's rule, remains robust in its presence. Depending on whether or not the orbital excitation includes a spin excitation, Hund's rule leads to an attractive or repulsive interaction between spinon and orbiton. Attraction and repulsion leave clear signatures through a transfer of spectral weight to the lower resp. upper edge of the spectrum.

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• Mobile orbitons in Ca${}_2$CuO${}_3$: crucial role of the Hund's exchange
• Collective nature of orbital excitations in layered cuprates in the absence of apical oxygens
• Landscape of coexisting excitonic states in the insulating single-layer cuprates and nickelates
• Excitonic wave-packet evolution in a two-orbital Hubbard model chain: A real-time real-space study