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In this study, we present a complete experimental and theoreticalinvestigation of the fundamental exciton Zeeman splitting in wurtzite InPnanowires. We determined the exciton gyromagnetic factor, $g_{exc}$, bymagneto-photoluminescence spectroscopy using magnetic fields up to 29 T. Wefound that $g_{exc}$ is strongly anisotropic with values differing in excess of50\% between the magnetic field oriented parallel and perpendicular to thenanowire long axis. Furthermore, for magnetic fields oriented along thenanowire axis, $g_{exc}$ is nearly three times larger than in bulk zincblendeInP and it shows a marked sublinear dependence on the magnetic field, a commonfeature to other non-nitride III-V wurtzite nanowires but not properlyunderstood. Remarkably, this nonlinearity originates from only one Zeemanbranch characterized by a specific type of light polarization. All theexperimental findings are modeled theoretically by a robust approach combiningthe $k \cdot p$ method with the envelope function approximation and includingthe electron-hole interaction. We revealed that the nonlinear features arisedue to the coupling between Landau levels pertaining to the A (heavy-hole like)and B (light-hole like) valence bands of the wurtzite crystal structure. Thisgeneral behavior is particularly relevant for the understanding of the spinproperties of several wurtzite nanowires that host the set for the observationof topological phases potentially at the base of quantum computing platforms.

Unusual spin properties of InP wurtzite nanowires revealed by Zeeman splitting spectroscopy