Hall effect in frustrated ferrimagnetic alloys $eps'$-Mn$_3$Ga

Electrical resistance, transverse magnetoresistance and the Hall effect have been studied in alloys $eps'$-Mn$_3$Ga in a frustrated ferrimagnetic state. For a paramagnetic state, the normal Hall coefficient $R_0$ is about $\sim10^{-13}$ Ом$\cdot$см$\cdot$Гс$^{-1}$ typical of metals. Magnetic ordering causes a pronounced change in $R_0$ and the reversal of its sign. The anomalous Hall coefficient reverses its sign at the same time as $R_0$ and is not functionally related to electrical resistance. The magnitude and the sign of the Hall effect depend on the presence of two subsystems, one of which is connected with short-range magnetic order domains, and the other with frustrated spins at the boundaries of these domains.