Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology
arXiv:2109.03169 · doi:10.1007/s10948-021-06029-z
Abstract
The review is aimed at highlighting the aspects of topological superconductivity in the absence of spin-orbit interaction in two-dimensional systems with long-range non-collinear spin ordering or magnetic skyrmions. Another purpose is to give a brief introduction to the new concept of topological superconductivity, i.e. higher-order topology in two-dimensional systems including spin-orbit coupled structures. The formation of Majorana modes due to magnetic textures is discussed. The role of effective triplet pairings and odd fermion parity of the ground state wave function in different systems is emphasized. We describe the peculiarities of the magnetic skyrmions, leading to the formation of the Majorana modes and defects on which the modes are localized. The problem of braiding in the two-dimensional systems, especially in higher-order topological superconductors, is considered.
arXiv comment37 pages, 22 figures, review
References in corpus (185)
- Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
- Non-Abelian Anyons and Topological Quantum Computation
- Topological Order and the Quantum Spin Hall Effect
- Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
- Skyrmion Lattice in a Chiral Magnet
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
- Helical liquids and Majorana bound states in quantum wires
- New directions in the pursuit of Majorana fermions in solid state systems
- Universal Intrinsic Spin-Hall Effect
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Quantized Electric Multipole Insulators
- Dissipationless Quantum Spin Current at Room Temperature
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Search for Majorana fermions in superconductors
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Topological superconductors: a review
- String Method for the Study of Rare Events
- Skyrmions at room temperature : From magnetic thin films to magnetic multilayers
- Additive interfacial chiral interaction in multilayers for stabilization of small individual skyrmion at room temperature
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Superconductivity in CuxBi2Se3 and its implications for pairing in the undoped topological insulator
- Topolectrical circuit realization of topological corner modes
- Realizing Majorana zero modes in superconductor-semiconductor heterostructures
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Magnetic skyrmion logic gates: conversion, duplication and merging of skyrmions
- Majorana fermions in chains of magnetic atoms on a superconductor
- Discovery of Magnetic Antiskyrmions Beyond Room Temperature in Tetragonal Heusler Materials
- Observation of topological superconductivity on the surface of an iron-based superconductor
- Beyond skyrmions: Review and perspectives of alternative magnetic quasiparticles
- Direct observation of corner states in second-order topological photonic crystal slabs
- Field-Dependent Size and Shape of Single Magnetic Skyrmions
- Topological Superconductivity and Majorana Fermions in RKKY Systems
- Topological superconducting phase in helical Shiba chains
- Scaling of Majorana Zero-Bias Conductance Peaks
- Corner states of light in photonic waveguides
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Interplay between classical magnetic moments and superconductivity in quantum one-dimensional conductors: toward a self-sustained topological Majorana phase
- Antiferromagnetism and d-wave superconductivity in cuprates: a uster DMFT study
- A theory on skyrmion size and profile
- Pronounced drop of O NMR Knight shift in superconducting state of SrRuO
- Full phase diagram of isolated skyrmions in a ferromagnet
- End states and subgap structure in proximity-coupled chains of magnetic adatoms
- Thermal skyrmion diffusion applied in probabilistic computing
- Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
- Self-Organized Topological State with Majorana Fermions
- An Electronic Model for layer based systems: Chiral RVB metal and Superconductivity
- Majorana corner modes in a high-temperature platform
- SO(5) Theory of Antiferromagnetism and Superconductivity
- Proposal to stabilize and detect half-quantum vortices in strontium ruthenate thin films: Non-Abelian braiding statistics of vortex matter in a superconductor
- Topological invariants for spin-orbit coupled superconductor nanowires
- High-Temperature Majorana Corner States
- Realization of an acoustic third-order topological insulator
- High-resolution studies of the Majorana atomic chain platform
- Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
- Majorana bound states in non-homogeneous semiconductor nanowires
- Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
- Observation of Quadrupole Transitions and Edge Mode Topology in an LC network
- Weak-Pairing Higher Order Topological Superconductors
- Two-dimensional p-wave superconducting states with magnetic moments on a conventional s-wave superconductor
- Majorana fermions in superconducting nanowires without spin-orbit coupling
- Topological superconductivity in full shell proximitized nanowires
- Flux-induced topological superconductivity in full-shell nanowires
- Flux-induced Majorana modes in full-shell nanowires
- Atomic-Scale Interface Engineering of Majorana Edge Modes in a 2D Magnet-Superconductor Hybrid System
- Information transfer by vector spin chirality in finite magnetic chains
- On edge states in superconductor with time inversion symmetry breaking
- Tunable Majorana corner states in a two-dimensional second-order topological superconductor induced by magnetic fields
- Transition from fractional to Majorana fermions in Rashba nanowires
- Majorana corner states in a two-dimensional magnetic topological insulator on a high-temperature superconductor
- Second Order Topological Superconductivity in -Junction Rashba Layers
- Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
- Higher Order Topology and Nodal Topological Superconductivity in Fe(Se,Te) Heterostructures
- A novel platform for two-dimensional chiral topological superconductivity
- Topolectrical-circuit octupole insulator with topologically protected corner states
- Majorana states in helical Shiba chains and ladders
- Strong localization of Majorana end states in chains of magnetic adatoms
- Majorana Kramers Doublets in -wave Superconductors with Rashba Spin-Orbit Coupling
- Majorana fermions in superconducting helical magnets
- Majorana bound states in magnetic skyrmions
- Chiral Magnetic Skyrmions with Arbitrary Topological Charge ("skyrmionic sacks")
- Majorana fermions from Shiba states in an antiferromagnetic chain on top of a superconductor
- Incommensurate magnetic order and phase separation in the two-dimensional Hubbard model with nearest and next-nearest neighbor hopping
- Second-order Topological Superconductors with Mixed Pairing
- Helical order in one-dimensional magnetic atom chains and possible emergence of Majorana bound states
- Inversion-protected higher order topological superconductivity in monolayer WTe
- Competition between d-wave superconductivity and antiferromagnetism in the 2D Hubbard model
- Zero-field Topological Superconductivity in Ferromagnetic Hybrid Nanowires
- Time reversal non-invariant non-Abelian topological order in non-centrosymmetric superconductors
- In-plane Zeeman field induced Majorana corner and hinge modes in an -wave superconductor heterostructure
- Synthetic spin orbit interaction for Majorana devices
- Magnetic skyrmions, chiral kinks and holomorphic functions
- Topological and holonomic quantum computation based on second-order topological superconductors
- Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
- Self-Organized Topological Superconductivity in a Yu-Shiba-Rusinov Chain
- Electron spin operation by electric fields: spin dynamics and spin injection
- First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling
- Composite Topological Excitations in Ferromagnet-Superconductor Heterostructures
- Braiding Majorana corner modes in a second-order topological superconductor
- Higher-order topological superconductors in -, -odd quadrupolar Dirac materials
- Wireless Majorana Bound States: From Magnetic Tunability to Braiding
- Majorana bound states in magnetic skyrmions imposed onto a superconductor
- Topologically protected surface Majorana arcs and bulk Weyl fermions in ferromagnetic superconductors
- Higher-Order Topological Superconductivity of Spin-Polarized Fermions
- Skyrmion-(Anti)Vortex Coupling in a Chiral Magnet-Superconductor Heterostructure
- Superconducting materials classes: introduction and overview
- Phase tunable second-order topological superconductor
- All-electrically tunable networks of Majorana bound states
- Coexistence of incommensurate magnetism and superconductivity in the two-dimensional Hubbard model
- Topological superfluid 3He-B in magnetic field and Ising variable
- Isolated pairs of Majorana zero modes in a disordered superconducting lead monolayer
- Skyrmions Driven by Intrinsic Magnons
- Time-reversal symmetric work distributions for closed quantum dynamics in the histories framework
- Discovery of magnetic single- and triple-Q states in Mn/Re(0001)
- Spiral magnetic order and topological superconductivity in a chain of magnetic adatoms on a two-dimensional superconductor
- Mean-field study of the interplay between antiferromagnetism and d-wave superconductivity
- Fractional Topological Superconductivity and Parafermion Corner States
- Superconductivity in Uranium Ferromagnets
- Majorana Edge States in Superconductor/Noncollinear Magnet Interfaces
- Majorana bound states in open quasi-1D and 2D systems with transverse Rashba coupling
- Quantum Dynamics of Skyrmions in Chiral Magnets
- Competition between antiferromagnetism and superconductivity, electron-hole doping asymmetry and "Fermi Surface" topology in cuprates
- Tunable magnetic textures in spin valves: From spintronics to Majorana bound states
- Topological superconductivity with deformable magnetic skyrmions
- Magnetism and superconductivity of strongly correlated electrons on the triangular lattice
- Phase Control of Majorana Bound States in a Topological X Junction
- Energy surface and lifetime of magnetic skyrmions
- Generation of a superconducting vortex via Néel skyrmions
- Quantum fluctuations stabilize Skyrmion textures
- Skyrmion-induced bound states in a superconductor
- Nodal pairing and topological phases on the triangular lattice: unconventional superconducting state of NaCoOHO
- Flat Majorana bands in 2-d lattices with inhomogeneous magnetic fields: topology and stability
- On the topological immunity of corner states in two-dimensional crystalline insulators
- Probing the Nanoskyrmion Lattice on Fe/Ir(111) with Magnetic Exchange Force Microscopy
- Duplication, collapse and escape of magnetic skyrmions revealed using a systematic saddle point search method
- Quantum Collapse of a Magnetic Skyrmion
- Emerging Dirac and Majorana fermions for carbon nanotubes with proximity-induced pairing and spiral magnetic field
- Coexisting spin resonance and long-range magnetic order of Eu in EuRbFeAs
- Antiferromagnetic nuclear spin helix and topological superconductivity in C nanotubes
- Electrical control of Majorana Bound States Using Magnetic Stripes
- Strong Coulomb interactions in the problem of Majorana modes in a wire of the nontrivial topological class BDI
- Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
- Quantum Skyrmions in Two-Dimensional Chiral Magnets
- Skyrmion Control of Majorana States in Planar Josephson Junctions
- Majorana Braiding in Realistic Nanowire Y-Junctions and Tuning Forks
- Topological superconductivity induced by a triple-Q magnetic structure
- Vortex states and Majorana fermions in spin-orbit coupled semiconductor-superconductor hybrid structures
- Topological superconductivity and Majorana states in low-dimensional systems
- Second-Order Bulk-Boundary Correspondence in Rotationally Symmetric Topological Superconductors from Stacked Dirac Hamiltonians
- Tunable Majorana corner modes in noncentrosymmetric superconductors: Tunneling spectroscopy and edge imperfections
- Faithful derivation of symmetry indicators: A case study for topological superconductors with time-reversal and inversion symmetries
- Magnetic skyrmion binning
- Interaction of a Neel-type skyrmion and a superconducting vortex
- When superconductivity does not fear magnetism: Insight into electronic structure of RbEuFeAs
- Coexistence of antiferromagnetism and superconductivity within t-J model with strong correlations and nonzero spin polarization
- Quantum Damping of Skyrmion Crystal Eigenmodes due to Spontaneous Quasiparticle Decay
- Majorana fermions in spin-singlet nodal superconductors with coexisting non-collinear magnetic order
- Josephson effect through magnetic skyrmion
- High-Temperature Majorana Fermions in Magnet-Superconductor Hybrid Systems
- Full parity phase diagram of a proximitized nanowire island
- Quadrupole spin polarization as signature of second-order topological superconductors
- Skyrmion-induced subgap states in p-wave superconductors
- Observing the suppression of superconductivity in RbEuFeAs by correlated magnetic fluctuations
- Superconductivity driven helical magnetic structure in EuRbFeAs ferromagnetic superconductor
- Quantum motion and level quantization of a skyrmion in a pinning potential in chiral magnets
- Helical structures in layered magnetic superconductors due to indirect exchange interactions mediated by interlayer tunneling
- Majorana fermion from Landau quantization in 2D topological superconductors
- Obtaining Majorana and other boundary modes from the metamorphosis of impurity-induced states: exact solutions via T-matrix
- Stability of a skyrmion and interaction of magnons
- Chiral symmetries and Majorana fermions in coupled magnetic atomic chains on a superconductor
- Coupling of Coexisting Non-Collinear Spin States in the Fe Monolayer on Re(0001)
- Identifying possible pairing states in SrRuO by tunneling spectroscopy
- The nontrivial ground state topology in the coexistence phase of chiral d-wave superconductivity and 120 degrees magnetic order on a triangular lattice
- Magnetic Skyrmion Annihilation by Quantum Mechanical Tunneling
- Majorana bound states in nanowire-superconductor hybrid systems in periodic magnetic fields
- Stability of the coexistence phase of chiral superconductivity and noncollinear spin ordering with a nontrivial topology and strong electron correlations
- Coexistence of antiferromagnetism and superconductivity in the Anderson lattice
- Quantum Brownian Motion of a Magnetic Skyrmion
- Rotational symmetry breaking and partial Majorana corner states in a high-Tc superconductor based heterostructure
- Quantum Nucleation of Skyrmions in Magnetic Films by Inhomogeneous Fields
- Zero point fluctuations for magnetic spirals and Skyrmions, and the fate of the Casimir energy in the continuum limit
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- Topological Superconductivity Mediated by Skyrmionic Magnons
- 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)
- Topological superconductivity mediated by magnons of helical magnetic states
- Chirality inversion and radius blow-up of a Néel-type skyrmion by a Pearl vortex
- The higher-order magnetic skyrmions in non-uniform magnetic fields
- Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
- Phonon-mediated intrinsic topological superconductivity in Fermi arcs
- Effect of local Coulomb interaction on Majorana corner modes: weak and strong correlation limits
- Topological superconductivity induced by a Kitaev spin liquid
- Majorana corner states in an attractive quantum spin Hall insulator with opposite in-plane Zeeman energy at two sublattice sites
- Majorana modes in trapped-ion system and their Floquet engineering
- Strong-coupling approach to temperature dependence of competing orders of superconductivity: Possible time-reversal symmetry breaking and nontrivial topology
- Majorana vortex modes in spin-singlet chiral superconductors with noncollinear spin ordering: Local density of states study
- Topological phase transitions in superconductors with chiral symmetry
- Correlation Driven Magnetic Frustration and Insulating Behavior of TiF
- New mechanisms to engineer magnetic skyrmions and topological superconductors
- Majorana bound states with chiral magnetic textures