Anomalous Hall effect in fully compensated half-metallic Mn₂RuₓGa thin films

High-field magnetotransport is investigated in thin films of half-metallic ferrimagnet Mn₂RuₓGa. A non-vanishing Hall signal is observed over a broad temperature range, spanning the compensation temperature (155K), where the net magnetic moment is strictly zero, the Hall conductivity is 6673 Ohm⁻¹ m⁻¹ and the coercivity exceeds 9T. Molecular field modelling is used to determine the intra- and inter-sublattice exchange constants and from the spin-flop transition we infer the anisotropy of the electrically active sublattice to be 216 kJm⁻³ and predict the magnetic resonances frequencies. Exchange and anisotropy are comparable and hard-axis applied magnetic fields result in a tilting of the magnetic moments from their collinear ground state. Our analysis is applicable to collinear ferrimagnetic half-metal systems.