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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• Induced Monolayer Altermagnetism in MnP(S,Se)${}_3$ and FeSe
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• Electrons in helical magnetic field: a new class of topological metals
• Proximity-induced superconductivity within the InAs/GaSb edge conducting state
• Topological insulators and superconductors based on $p$-wave magnets,electrical control and detection of a domain wall
• Superconducting Orbital Magnetoelectric Effect and its Evolution across the Superconductivity Normal Metal Phase Transition
• Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
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• Transverse Cooper-Pair Rectifier
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• Odd-frequency pairing due to Majorana and trivial Andreev bound states
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• Odd-frequency pairing in a nonunitary p-wave superconductor with multiple Majorana fermions
• Optical signatures of Euler superconductors
• Superconducting spin valves based on antiferromagnet/superconductor/antiferromagnet heterostructures
• Altermagnets and beyond: Nodal magnetically-ordered phases
• Proposal for a nonadiabatic geometric gate with an Andreev spin qubit
• Neel proximity effect in superconductor/antiferromagnet heterostructures
• Unveiling the nonrelativistic spin current polarization in an altermagnet
• A unique two-dimensional silver(II) antiferromagnet Cu[Ag(SO4)2] and perspectives for its further modifications
• Quantum Geometry in Quantum Materials
• Hybrid superconductor-semiconductor nanowire junctions as useful platforms to study Majorana bound states
• Spin Splitting in Altermagnetic RuO${}_2$ Enables Field-free Spin-Orbit Torque Switching via Dominant Out-of-Plane Spin Polarization
• Newly discovered magnetic phase: A brief review on Altermagnets
• Concurrent Ferromagnetism and Superconductivity in Fe(Te,Se) van der Waals Josephson Junctions
• Highly Efficient Non-relativistic Edelstein effect in p-wave magnets
• Spin orientation by electric current in altermagnets
• From pure to mixed: Altermagnets as intrinsic symmetry-breaking indicators
• Highly unusual, doubly-strongly-correlated, altermagnetic, 3D analogue of parent compounds of high-Tc cuprates
• Majorana flat bands and anomalous proximity effects in $p$-wave magnet--superconductor hybrid systems

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
• Analysis of Spin Current Generation by Elastic Waves in $f$-wave Altermagnets
• The Josephson effect in Fibonacci superconductors
• Interplay between Superconductivity and Altermagnetism in Disordered Materials and Heterostructures
• Current switching behavior mediated via hinge modes in higher-order topological phases using altermagnets
• Edge spin galvanic effect in altermagnets
• Josephson diode and spin-valve effects on the surface of altermagnet CrSb
• Entanglement dynamics in minimal Kitaev chains
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
• Time reversal reserved spin valve and spin transistor based on unconventional $p$-wave magnets
• Superconducting States and Intertwined Orders in Metallic Altermagnets
• Sub-spin-flop switching of a fully compensated antiferromagnet by magnetic field
• Altermagnetism Induced Bogoliubov Fermi Surfaces Form Topological Superconductivity
• Topological superconductivity and superconducting diode effect mediated via unconventional magnet and Ising spin-orbit coupling