${\mathrm{LaCrGe}}_3$ is a metallic, itinerant ferromagnet with $T_C\approx 86\mathrm{K}$ and an easy magnetic direction along its hexagonal $c$ axis. Here we present studies of the $H\parallel c$ Hall effect in ${\mathrm{LaCrGe}}_3$ at ambient pressure and under pressures up to 24 kbar. At ambient pressure the anomalous Hall conductivity in the ferromagnetic state reaches a large value of $\sim 520$ ${\mathrm{\Omega }}^{-1}$ ${\mathrm{cm}}^{-1}$. The overall data are consistent with the behavior expected for a ferromagnet with magnetic field applied along its easy axis. Measurements under pressure yield an $H=0$, $P\text{−}T$ phase diagram consistent with earlier publications with $T_C$ being suppressed with pressure and nonferromagnetic phases appearing for $P>15$ kbar. The data suggest that the observed $T_C$ suppression is due to the pressure-dependent exchange interactions rather than suppression of the size of the magnetic moment. Field-dependent Hall resistivity in the higher-pressure, nonferromagnetic state is consistent with the net moment being zero for $H=0$. In a finite field there is a sharp anomaly comparable to the one associated with a spin-flip metamagnetic transition. The $H\text{−}T$ phase diagrams corresponding to a pressure-induced magnetic phase are constructed for several pressures. The Hall data suggest the possibility of the pressure-induced nonferromagnetic phase being a combination of multiple small regions of antiferromagnetic phases with different wave vectors.

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• Electrical properties
• Hall effect
• Magnetic phase transitions
• Phase diagrams
• Pressure effects