Site-specific electronic and magnetic excitations of the skyrmion material Cu$_2$OSeO$_3$

Abstract

The manifestation of skyrmions in the Mott-insulator Cu 2 OSeO 3 originates from a delicate balance between magnetic and electronic energy scales. As a result of these intertwined couplings, the two symmetry-inequivalent magnetic ions, Cu-I and Cu-II, bond into a spin S=1 entangled tetrahedron. However, conceptualizing the unconventional properties of this material and the energy of the competing interactions is a challenging task due the complexity of this system. Here we combine X-ray Absorption Spectroscopy and Resonant Inelastic X-ray Scattering to uncover the electronic and magnetic excitations of Cu 2 OSeO 3 with site-specificity. We quantify the energies of the 3d crystal-field splitting for both Cu-I and Cu-II, fundamental to optimize model Hamiltonians. Additionally, we unveil a site-specific magnetic mode, indicating that individual spin character is preserved within the entangled-tetrahedron picture.Our results thus provide experimental constraint for validating theories that describe the interactions of Cu 2 OSeO 3 , highlighting the site-selective capabilities of resonant spectroscopies.