Majorana Edge States in Superconductor/Noncollinear Magnet Interfaces

Abstract

Through $s-d$ coupling, a superconducting thin film interfaced to a noncollinear magnetic insulator inherits its magnetic order, which may induce unconventional superconductivity that hosts Majorana edge states. From the cycloidal, helical, or (tilted) conical magnetic order of multiferroics, or the Bloch and Neel domain walls of ferromagnetic insulators, the induced pairing is ($p_x+p_y$)-wave, a pairing state that supports Majorana edge modes without adjusting the chemical potential. In this setup, the Majorana states can be separated over the distance of the long range magnetic order, which may reach macroscopic scale. A skyrmion spin texture, on the other hand, induces a ($p_r+i{p}_{\phi }$)-wave-like state, which albeit nonuniform and influenced by an emergent electromagnetic field, hosts both a bulk persistent current and a topological edge current.

5 pages, 2 figures

References in corpus (12)

• Non-Abelian Anyons and Topological Quantum Computation
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Topological surface states in nodal superconductors
• Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
• Flat Majorana bands in 2-d lattices with inhomogeneous magnetic fields: topology and stability
• Bound states of a ferromagnetic wire in a superconductor
• Tuning topological superconductivity in helical Shiba chains by supercurrent
• General framework for transport in spin-orbit-coupled superconducting heterostructures: Nonuniform spin-orbit coupling and spin-orbit-active interfaces

Cited by in corpus (43)

• Majorana bound states in magnetic skyrmions
• Correlation Length, Universality Classes, and Scaling Laws Associated with Topological Phase Transitions
• Majorana bound states in magnetic skyrmions imposed onto a superconductor
• Skyrmion-(Anti)Vortex Coupling in a Chiral Magnet-Superconductor Heterostructure
• Topological Superconductivity in Skyrmion Lattices
• Topological superconductivity with deformable magnetic skyrmions
• Scaling Theory of Topological Phase Transitions
• Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
• Colloquium: Quantum Properties and Functionalities of Magnetic Skyrmions
• Topological Superconductivity Mediated by Skyrmionic Magnons
• Scaling Theory of ${\mathbb{Z}}_2$ Topological Invariants
• Controlling Majorana states in topologically inhomogeneous superconductors
• Interaction of a Neel-type skyrmion and a superconducting vortex
• Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Unravelling incommensurate magnetism and its emergence in iron-based superconductors
• Towards skyrmion-superconductor hybrid systems
• Perspective: Heusler interfaces -- opportunities beyond spintronics?
• Josephson transistor from the superconducting diode effect in domain wall and skyrmion magnetic racetracks
• Prevalence of trivial zero-energy sub-gap states in non-uniform helical spin chains on the surface of superconductors
• Cross-dimensional universality classes in static and periodically driven Kitaev models
• Disorder-robust phase crystal in high-temperature superconductors stabilized by strong correlations
• Repulsion of a Néel-type skyrmion from a Pearl vortex in thin ferromagnet-superconductor heterostructures
• Observation of robust zero-energy state and enhanced superconducting gap in a tri-layer heterostructure of MnTe/Bi2Te3/Fe(Te, Se)
• Chirality inversion and radius blow-up of a Néel-type skyrmion by a Pearl vortex
• Interplay between altermagnetism and topological superconductivity on an unconventional superconducting platform
• Topological superconductivity mediated by magnons of helical magnetic states
• Supercurrent-induced Skyrmion dynamics and Tunable Weyl points in Chiral Magnet with Superconductivity
• Trapping Majorana Zero Modes in Vortices of Magnetic Texture Crystals Coupled to Nodal Superconductors
• Anatomy of Spin and Current Generation from Magnetization Gradients in Topological Insulators and Rashba Metals
• Emergence of $d\pm ip$-wave superconducting state at the edge of $d$-wave superconductors mediated by Andreev-bound-state-driven ferromagnetic fluctuations
• Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
• Persistent currents and spin torque caused by percolated quantum spin Hall state
• Topological Hall effect induced by classical large-spin background: $su(2)$ path-integral approach
• Topological superconductivity in a magnetic-texture coupled Josephson junction
• Topological superconductivity induced by a Kitaev spin liquid
• Deformation of a Néel-type Skyrmion in a Weak Inhomogeneous Magnetic Field: Magnetization Ansatz and Interaction with a Pearl Vortex
• Generation and control of noncollinear magnetism by supercurrent
• Topological phase transitions in superconductors with chiral symmetry
• Magnetoelectric torque and edge currents in spin-orbit coupled graphene nanoribbons
• Magnetic field-free braiding and nontrivial fusion of Majorana bound states in high-temperature planar Josephson junctions
• New mechanisms to engineer magnetic skyrmions and topological superconductors
• Scanning tunneling microscopy study of helimagnetic monolayer CrBr2 on s-wave superconductor NbSe2: a topologically trivial system due to weak interfacial coupling