Coexistence of $p$-wave magnetism and superconductivity
Pavlo Sukhachov, Hans Gl{\o}ckner Giil, Bj{\o}rnulf Brekke, Jacob Linder

TL;DR
This paper explores the coexistence of $p$-wave magnetism with superconductivity, revealing new spin transport phenomena and potential experimental probes, thus advancing the understanding of unconventional magnetic and superconducting materials.
Contribution
It demonstrates that $p$-wave magnets can coexist with conventional superconductivity and predicts enhanced charge-to-spin conversion due to their interplay.
Findings
$p$-wave magnets coexist with superconductivity regardless of spin splitting.
Predicted strong charge-to-spin conversion in $p$-wave magnet-superconductor systems.
Potential for new spintronic applications leveraging this coexistence.
Abstract
The symmetry requirements for realizing unconventional compensated magnets with spin-polarized bands such as altermagnets have recently been uncovered. The most recent addition to this family of magnets is parity-odd or -wave magnets. We demonstrate that -wave magnets are perfectly compatible with superconductivity due to the spin polarization of their electron bands and that they induce unexpected spin transport phenomena. We first show that -wave magnetism can coexist with conventional superconductivity regardless of the magnitude of the spin splitting. We then predict that -wave magnets induce a charge-to-spin conversion, which can be strongly enhanced by the presence of superconductivity providing a way to probe the coexistence in experiments. Our results open an avenue for material combinations with a synergetic relation between spintronics and superconductivity.
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