Constraints on superconducting pairing in altermagnets

Debmalya Chakraborty, Annica M. Black-Schaffer
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Abstract

Superconductivity in the recently discovered altermagnetic materials hosts large prospects for both fundamental physics and technological applications. In this work we show that a characteristic spin-sublattice locking in altermagnets puts severe constraints on possible superconducting pairing. In particular, we uncover that the most common form of superconductivity, uniform $s$-wave spin-singlet pairing is not possible to achieve in altermagnets. Considering an effective model for a $d_{x^2-y^2}$-wave altermagnet on a square lattice, we instead find that the most likely forms of spin-singlet pairing have $d_{x^2-y^2}$- or extended $s$-wave symmetry. We also find that the simplest form of equal-spin-triplet $p$-wave pairing is not allowed, but it can only exist as a mixed-spin-triplet $p$-wave state. We verify these constraints on pairing within an interaction-induced model of altermagnetism, where we also establish their validity for finite-momentum pairing. Additionally we discuss the possible pairing symmetries for odd-frequency superconducting pairing. Due to the generality of our results, they are applicable to both intrinsic superconductivity and proximity-induced superconductivity in altermagnet-superconductor hybrid junctions.
改变磁体中超导配对的制约因素
最近发现的改磁材料中的超导现象在基础物理学和技术应用方面都具有广阔的前景。在这项研究中,我们发现改磁材料中的自旋-亚晶格锁定特征对可能的超导配对产生了严重的限制。特别是,我们发现最常见的超导形式--均匀的$s$波自旋-小旋子配对在变磁体中是不可能实现的。考虑到方形晶格上的$d_{x^2-y^2}$波变磁体的有效模型,我们发现最有可能的自旋-小卫星配对形式是$d_{x^2-y^2}$-或扩展的$s$波对称。我们还发现,最简单的等自旋-三重$p$波配对形式是不允许的,它只能以混合自旋-三重$p$波状态存在。我们在一个相互作用诱导的变磁性模型中验证了这些配对约束,同时也证明了它们对有限动量配对的有效性。此外,我们还讨论了奇频超导配对的可能配对对称性。由于我们结果的普遍性,它们既适用于本征超导,也适用于末磁体-超导体混合结中的邻近诱导超导。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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