Coexistence of $p$-wave magnetism and superconductivity

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 $p$-wave magnets. We demonstrate that $p$-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 $p$-wave magnetism can coexist with conventional superconductivity regardless of the magnitude of the spin splitting. We then predict that $p$-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.

6+20 pages, 3+12 figures; close to published version

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• Floquet engineering spin triplet states in unconventional magnets
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
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• Incommensuration in odd-parity antiferromagnets
• Orientation dependent anomalous Hall and spin Hall currents at junctions of altermagnets with $p$-wave magnets
• Hyperspin Altermagnets
• Sub-spin-flop switching of a fully compensated antiferromagnet by magnetic field
• Time reversal reserved spin valve and spin transistor based on unconventional $p$-wave magnets