Exposing the odd-parity superconductivity in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msub><mml:mi>CeRh</mml:mi><mml:mn>2</mml:mn></mml:msub><mml:msub><mml:mi>As</mml:mi><mml:mn>2</mml:mn></mml:msub></mml:mrow></mml:mat

Odd-parity superconductivity is a fundamentally interesting but rare state of matter with a potential for applications in topological quantum computing. Crystals with staggered locally noncentrosymmetric structures have been proposed as platforms where a magnetic field can induce a transition between even- and odd-parity superconducting (SC) states. The strongly correlated superconductor <a:math xmlns:a="http://www.w3.org/1998/Math/MathML"><a:mrow><a:msub><a:mi>CeRh</a:mi><a:mn>2</a:mn></a:msub><a:msub><a:mi>As</a:mi><a:mn>2</a:mn></a:msub></a:mrow></a:math>, with the critical temperature <b:math xmlns:b="http://www.w3.org/1998/Math/MathML"><b:mrow><b:msub><b:mi>T</b:mi><b:mi mathvariant="normal">c</b:mi></b:msub><b:mo>≈</b:mo><b:mn>0.4</b:mn><b:mspace width="0.16em"/><b:mi mathvariant="normal">K</b:mi></b:mrow></b:math>, is likely the first example material showing such a phase transition, which occurs at the magnetic field <f:math xmlns:f="http://www.w3.org/1998/Math/MathML"><f:mrow><f:msub><f:mi>μ</f:mi><f:mn>0</f:mn></f:msub><f:msup><f:mi>H</f:mi><f:mo>*</f:mo></f:msup><f:mo>=</f:mo><f:mn>4</f:mn><f:mspace width="0.16em"/><f:mi mathvariant="normal">T</f:mi></f:mrow></f:math> applied along the crystallographic <i:math xmlns:i="http://www.w3.org/1998/Math/MathML"><i:mi>c</i:mi></i:math> axis. <j:math xmlns:j="http://www.w3.org/1998/Math/MathML"><j:mrow><j:msub><j:mi>CeRh</j:mi><j:mn>2</j:mn></j:msub><j:msub><j:mi>As</j:mi><j:mn>2</j:mn></j:msub></j:mrow></j:math> also undergoes a phase transition of an unknown origin at <k:math xmlns:k="http://www.w3.org/1998/Math/MathML"><k:mrow><k:msub><k:mi>T</k:mi><k:mn>0</k:mn></k:msub><k:mo>=</k:mo><k:mn>0.5</k:mn><k:mspace width="0.16em"/><k:mi mathvariant="normal">K</k:mi></k:mrow></k:math>. By subjecting <n:math xmlns:n="http://www.w3.org/1998/Math/MathML"><n:mrow><n:msub><n:mi>CeRh</n:mi><n:mn>2</n:mn></n:msub><n:msub><n:mi>As</n:mi><n:mn>2</n:mn></n:msub></n:mrow></n:math> to hydrostatic pressure and mapping the resultant changes to the SC phase diagrams we investigated how the lattice compression and changes to the electronic correlations affect the stability and relative balance of the two SC states. The abnormally high in-plane upper critical field becomes even higher close to a quantum critical point of the <o:math xmlns:o="http://www.w3.org/1998/Math/MathML"><o:msub><o:mi>T</o:mi><o:mtext>0</o:mtext></o:msub></o:math> order. Remarkably, the SC phase-switching field <p:math xmlns:p="http://www.w3.org/1998/Math/MathML"><p:msup><p:mi>H</p:mi><p:mo>*</p:mo></p:msup></p:math> is drastically reduced under pressure, dropping to 0.3 T at 2.7 GPa. This result signals an apparent strengthening of the local noncentrosymmetricity and forecasts a possible stabilization of the putative odd-parity state down to zero field, hitherto not considered by theoretical models. Published by the American Physical Society 2024