arXiv · 2010.12289
Unraveling the orbital physics in a canonical orbital system KCuF$_3$
Abstract
We explore the existence of the collective orbital excitations, orbitons, in the canonical orbital system KCuF$_3$. Using the Cu $L_3$-edge resonant inelastic X-ray scattering we show that the non-dispersive high-energy peaks result from the Cu$^{2+}$ $dd$ orbital excitations. These high-energy modes show good agreement with the {\it ab-initio} quantum chemistry calculation based on a single cluster, indicating that the $dd$ excitations are highly localized. At the same time, the low-energy excitations present clear dispersion. They match extremely well with the two-spinon continuum following the comparison with Mueller Ansatz calculations. The localized $dd$ excitations and the observation of the strongly dispersive magnetic excitations suggest that orbiton dispersion is below the resolution detection limit. Our results can reconcile with the strong {\it local} Jahn-Teller effect in KCuF$_3$, which predominantly drives orbital ordering.
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Jiemin Li, Lei Xu, Mirian Garcia-Fernandez, Abhishek Nag, H. C. Robarts, A. C. Walters, X. Liu, Jianshi Zhou, Krzysztof Wohlfeld, Jeroen van den Brink, Hong Ding, Ke-Jin Zhou. 2020-10-23. Unraveling the orbital physics in a canonical orbital system KCuF$_3$. https://doi.org/10.1103/physrevlett.126.106401
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