We report anisotropic resistivity measurements of the heavy-fermion superconductor ${\mathrm{CeRh}}_2{\mathrm{As}}_2$ in magnetic fields up to 16 T and temperatures down to 0.35 K. The measured ${\mathrm{CeRh}}_2{\mathrm{As}}_2$ resistivity shows a signature corresponding to the suggested quadrupole-density-wave order state at $T_0\sim 0.5$ K for both measured directions. For a magnetic field applied along the tetragonal $a$ axis, $T_0$ is enhanced with magnetic field reaching $\sim 1.75$ K at 16 T. Further, a magnetic field-induced transition occurs at ${\mu }_0{H}_m\sim 8.1$ T corresponding to a change to a new broken symmetry state. For a magnetic field applied along the $c$ axis, $T_0$ is suppressed below our base temperature $\sim 0.35$ K by ${\mu }_{0}H\sim 4.5$ T, a field close to the previously reported field-induced transition within the superconducting state suggested to be from an even-parity to an odd-parity state. Our results indicate that the multiple superconducting phases in ${\mathrm{CeRh}}_2{\mathrm{As}}_2$ are intimately tied to the suppression of the proposed quadrupole-density-wave phase at $T_0$.

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• Exotic phases of matter
• Magnetotransport
• Superconductivity
• Focused ion beam
• Resistivity measurements