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Classification of pair symmetries in superconductors with unconventional magnetism

Kazuki Maeda, Yuri Fukaya, Keiji Yada, Bo Lu, Yukio Tanaka, Jorge Cayao

DOI 10.1103/PhysRevB.111.144508 · Physical Review B

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Abstract

We consider unconventional magnets with proximity-induced superconductivity and investigate the emergence of superconducting correlations by carrying out a full classification of allowed Cooper pair symmetries. In particular, we focus on d-wave altermagnets and p-wave magnets under the influence of spin-singlet and spin-triplet superconductivity induced by proximity effect. Under generic conditions, we find that unconventional magnets not only drive a spin-singlet to spin-triplet conversion but also they transfer their parity symmetry that induces superconducting correlations with higher angular momentum. For instance, a conventional spin-singlet s-wave superconductor with d-wave altermagnetism is able to host odd-frequency mixed spin-triplet d-wave superconducting pair amplitudes, while when combining with p-wave magnetism the emerging superconducting pairing acquires an even-frequency mixed spin-triplet p-wave symmetry. We further demonstrate that unconventional magnetism produces even more exotic superconducting correlations in spin-singlet d-wave superconductors, where odd-frequency mixed spin-triplet g-wave and even-frequency mixed spin-triplet f-wave pair symmetries are possible in altermagnets and p-wave magnets, respectively. We also discuss how these ideas generalize to spin-triplet p-wave superconductors and show how our results can be applied to unconventional magnets with higher angular momentum, such as with f-, g-, and i-wave symmetries. Our results can help us understand the emergent superconducting correlations due to the interplay of unconventional magnetism and superconductivity.

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FormulaReported Tc (K)Pressure (GPa)Type
RuO2

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Mn5Si3

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MnF2

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Mn3GaN

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CeNiAsO

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Al

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Nb

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NbTiN

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UPt3

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UTe2

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K2Cr3As3

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