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Recently, evidence has emerged for a field-induced even- to odd-parity superconducting phase transition in CeRh$_2$As$_2$ [S. Khim {it et al.}, arXiv:2101.09522]. Here we argue that the $P4/nmm$ non-symmorphic crystal structure of CeRh$_2$As$_2$ plays a central role in enabling this transition. Specifically, the non-symmorphic symmetries enforce an unusual spin structure near Brillouin zone boundaries that ensures large spin-orbit interactions in these regions of momentum space. This enables a high-temperature field-induced even- to odd-parity transition. We further provide an explicit illustration of the robustness of a field induced odd-parity state within a DFT-inspired model of the superconducting state that includes Fermi surfaces located about a Dirac line at the zone boundary and also about the zone center. Finally, we comment on the relevance of our results to superconducting FeSe, which also crystallizes in a $P4/nmm$ structure.
We report the discovery of two-phase unconventional superconductivity in CeRh$_2$As$_2$. Using thermodynamic probes, we establish that the superconducting critical field of its high-field phase is as high as 14 T, remarkable in a material whose trans
Recent discovery of superconductivity in CeRh$_2$As$_2$ clarified an unusual $H$-$T$ phase diagram with two superconducting phases [Khim et al. arXiv:2101.09522]. The experimental observation has been interpreted based on the even-odd parity transiti
The nature of the pairing states of superconducting LaNiC$_2$ and LaNiGa$_2$ has to date remained a puzzling question. Broken time reversal symmetry has been observed in both compounds and a group theoretical analysis implies a non-unitary triplet pa
Synchrotron x-ray diffraction experiments were performed on BaFe$_2$As$_2$ and Sr(Fe$_{1-x}$Co$_{x}$)$_2$As$_2$ single crystals as a function of temperature and applied magnetic field along the tetragonal $[1 bar{1} 0]$ direction, complemented by ele
We have carried out high-field resistivity measurements up to 27,T in EuFe$_2$As$_2$ at $P$,=,2.5,GPa, a virtually optimal pressure for the $P$-induced superconductivity, where $T_mathrm{c}$,=,30,K. The $B_mathrm{c2}-T_mathrm{c}$ phase diagram has be