In the recently discovered heavy fermion superconductor ${\mathrm{CeRh}}_2{\mathrm{As}}_2$, a magnetic-field-induced phase transition has been observed inside the superconducting state, which is proposed to be a transition from an even- to an odd-parity superconducting state. The odd-parity superconducting state and its large upper critical field has been explained by local inversion symmetry breaking and consequent Rashba spin-orbit coupling. Here, we report the experimental tuning of the superconductivity in ${\mathrm{CeRh}}_2{\mathrm{As}}_2$ via applied pressure. Superconductivity is continuously suppressed up to 2.5 GPa. The kink in the upper critical field, which has been used to indicated the even- to odd-parity transition, is also suppressed, indicating the odd-parity state is suppressed faster than the even-parity state. Above 2.5 GPa, there might be a second dome of superconductivity, which requires further investigation.

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• Spin-triplet pairing
• Superconducting phase transition
• Superconductivity
• Topological superconductors