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The physical properties of metamagnetic Fe$_3$Ga$_4$ single crystals areinvestigated to explore the sensitivity of the magnetic states to temperature,magnetic field, and sample history. The data reveal a moderate anisotropy inthe magnetization and the metamagnetic critical field along with features inthe specific heat at the magnetic transitions $T_1=68$ K and $T_2=360$ K. Both$T_1$ and $T_2$ are found to be sensitive to the annealing conditions of thecrystals suggesting that disorder affects the competition between theferromagnetic (FM) and antiferromagnetic (AFM) states. Resistivity measurementsreveal metallic transport with a sharp anomaly associated with the transitionat $T_2$. The Hall effect is dominated by the anomalous contribution whichrivals that of magnetic semiconductors in magnitude ($-5 \mu \Omega$ cm at 2 Tand 350 K) and undergoes a change of sign upon cooling into the low temperatureFM state. The temperature and field dependence of the Hall effect indicate thatthe magnetism is likely to be highly itinerant in character and that asignificant change in the electronic structure accompanies the magnetictransitions. We observe a contribution from the topological Hall effect in theAFM phase suggesting a non-coplanar contribution to the magnetism. Electronicstructure calculations predict an AFM ground state with a wavevector parallelto the crystallographic $c$-axis preferred over the experimentally measured FMstate by $\approx$ 50 meV per unit cell. However, supercell calculations with asmall density of Fe-antisite defects introduced tend to stabilize the FM overthe AFM state indicating that antisite defects may be the cause of thesensitivity to sample synthesis conditions.

Competing magnetic states, disorder, and the magnetic character of Fe3Ga4