Superconducting phenomena in systems with unconventional magnets

Abstract

In this work we review the recent advances on superconducting phenomena in junctions formed by superconductors and unconventional magnets. Conventional magnets, such as ferromagnets and antiferromagnets, are characterized by broken time-reversal symmetry but only ferromagnets produce a finite net magnetization due to parallel spin alignment and spin-split bands in momentum. Very recently, a new type of magnets has been reported and here we refer to them as unconventional magnets because they exhibit special properties of both ferromagnets and antiferromagnets: they exhibit zero net magnetization (like antiferromagnets) and a nonrelativistic spin splitting of energy bands (like ferromagnets), both leading to anisotropic spin-polarized Fermi surfaces. An interesting property of unconventional magnets is that their magnetic order can be even or odd with respect to momentum, where $d$-wave altermagnets and $p$-wave magnets are the most representative examples. In this regard, $d$-wave altermagnets and $p$-wave magnets are seen as counterparts in magnetism of the unconventional $d$- and $p$-wave superconducting states, respectively. While the impact of conventional magnetism on superconductivity has been largely studied, the combination of unconventional magnets and superconductivity has only lately attracted considerably attention. This work provides a comprehensive review of the recent progress on the interplay between superconductivity and unconventional magnets. In particular, we focus on the fundamental emerging superconducting phenomena and also discuss the potential implications towards quantum applications.

Invited topical review, 57 pages, 23 figures. Published version

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Cited by in corpus (39)

• Tuning of altermagnetism by strain
• All-electrically controlled spintronics in altermagnetic heterostructures
• Josephson diode effect with Andreev and Majorana bound states
• Floquet engineering spin triplet states in unconventional magnets
• Tunable Josephson diode effect in singlet superconductor-altermagnet-triplet superconductor junctions
• Engineering Altermagnetism via Layer Shifts and Spin Order in Bilayer MnPS${}_3$
• Light-induced odd-parity altermagnets on dimerized lattices
• Tunneling conductance in superconducting junctions with $p$-wave unconventional magnets breaking time-reversal symmetry
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Inversion-asymmetric itinerant antiferromagnets by the space group symmetry
• Quantum geometry and $X$-wave magnets with $X=p,d,f,g,i$
• Almost half-quantized planar Hall effects in $X$-wave magnets with $X=p,d,f,g,i$
• Josephson current signature of Floquet Majorana and topological accidental zero modes in altermagnet heterostructures
• Quantum Lifshitz points in an altermagnetic metal
• Higher-order bulk photovoltaic effects, quantum geometry and application to $p$-wave magnets
• Nonlocal Josephson diode effect in minimal Kitaev chains
• Approximate half-integer quantization in anomalous planar transport in $d$-wave altermagnets
• Inherent momentum-dependent gap structure of altermagnetic superconductors
• Orientation dependent anomalous Hall and spin Hall currents at junctions of altermagnets with $p$-wave magnets
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Incommensuration in odd-parity antiferromagnets
• Engineering subgap states in superconductors by the symmetry of altermagnetism
• Dirac edge states as signature of two-dimensional altermagnetic topological crystalline phase
• Altermagnetism-driven FFLO superconductivity in finite-filling 2D lattices
• Spin Currents in Rashba Altermagnets: From Equilibrium to Nonlinear Regimes
• Enhanced Superconducting Diode Effect in the Asymmetric Hatsugai-Kohmoto Model
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• The Josephson effect in Fibonacci superconductors
• Interplay between Superconductivity and Altermagnetism in Disordered Materials and Heterostructures
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• Edge spin galvanic effect in altermagnets
• Josephson diode and spin-valve effects on the surface of altermagnet CrSb
• Entanglement dynamics in minimal Kitaev chains
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