Electron $g$-value comparison of paramagnetic muonium and hydrogen centers in rutile TiO${}_2$

Abstract

Muonium (Mu) is widely used as a model for isolated hydrogen in condensed matter, but whether its electronic state is truly equivalent to that of hydrogen remains to be tested with an orbital-sensitive probe. Here we use double electron-muon resonance to determine the electron $g$ values of the paramagnetic Mu center in rutile TiO${}_2$ for magnetic fields along [100], [110], and [001] directions. The obtained $g$ values closely follow those of the H-related Ti${}^{3+}$ paramagnetic center in both magnitude and anisotropy. This agreement tests the Mu--H correspondence at the level of the Ti $3d$ electronic state and supports a common localized Ti${}^{3+}$ electronic core for the two centers.

6 pages, 3 figures

References in corpus (4)

• Local Electronic Structure and Dynamics of Muon-Polaron Complexes in Fe${}_2$O${}_3$
• Polaronic nature of a muonium-related paramagnetic center in SrTiO${}_3$
• Negatively Charged Muonium and Related Centers in Solids
• Hydrogen-Ti${}^{3+}$ Complex as a Possible Origin of Localized Electron Behavior in Hydrogen-Irradiated SrTiO${}_3$