Self-Organized Topological State with Majorana Fermions

Abstract

Topological phases, quite generally, are difficult to come by. They either occur under rather extreme conditions (e.g. the quantum Hall liquids, which require high sample purity, strong magnetic fields and low temperatures) or demand fine tuning of system parameters, as in the majority of known topological insulators. Many perfectly sensible topological phases, such as the Weyl semimetals and topological superconductors, remain experimentally undiscovered. Here we introduce a system in which a key dynamical parameter adjusts itself in response to the changing external conditions so that the ground state naturally favours the topological phase. The system consists of a quantum wire formed of individual magnetic atoms placed on the surface of an ordinary s-wave superconductor. It realizes the Kitaev paradigm of topological superconductivity when the wavevector characterizing the emergent spin helix dynamically self-tunes to support the topological phase.

7 pages, 4 figures (including supplementary material). Version to appear in PRL

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Cited by in corpus (264)

• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Majorana Fermions and Topology in Superconductors
• End states and subgap structure in proximity-coupled chains of magnetic adatoms
• Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
• Majorana corner modes in a high-temperature platform
• High-resolution studies of the Majorana atomic chain platform
• Long range coherent magnetic bound states in superconductors
• Single magnetic adsorbates on s-wave superconductors
• Majorana Kramers pairs in higher-order topological insulators
• Colloquium: Atomic spin chains on surfaces
• Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires
• Topological Superconductivity induced by Ferromagnetic Metal Chains
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• A novel platform for two-dimensional chiral topological superconductivity
• Majorana states in helical Shiba chains and ladders
• Strong localization of Majorana end states in chains of magnetic adatoms
• Unconventional topological phase transitions in helical Shiba chains
• Majorana bound states in magnetic skyrmions
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• Topological Yu-Shiba-Rusinov chain from spin-orbit coupling
• Effects of gate-induced electric fields on semiconductor Majorana nanowires
• Kramers Pairs of Majorana Fermions and Parafermions in Fractional Topological Insulators
• Majorana fermions from Shiba states in an antiferromagnetic chain on top of a superconductor
• Shiba states and zero-bias anomalies in the hybrid normal-superconductor Anderson model
• Topological Floquet Phases in Driven Coupled Rashba Nanowires
• Helical order in one-dimensional magnetic atom chains and possible emergence of Majorana bound states
• Majorana nanowires for topological quantum computation
• Universal Quantum Computation with Hybrid Spin-Majorana Qubits
• Parafermions in Interacting Nanowire Bundle
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• Metallization of Rashba wire by superconducting layer in the strong-proximity regime
• Conductance of a proximitized nanowire in the Coulomb blockade regime
• Interaction effects on a Majorana zero mode leaking into a quantum dot
• Hunting for Majoranas
• Majorana Fermions in Chiral Topological Ferromagnetic Nanowires
• Magnetic catalysis and axionic charge-density-wave in Weyl semimetals
• Majorana zero modes on a necklace
• Self-Organized Topological Superconductivity in a Yu-Shiba-Rusinov Chain
• Correlation Length, Universality Classes, and Scaling Laws Associated with Topological Phase Transitions
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Currents induced by magnetic impurities in superconductors with spin-orbit coupling
• Majorana Fermions in Ge/Si Hole Nanowires
• Composite Topological Excitations in Ferromagnet-Superconductor Heterostructures
• Majorana bound states in magnetic skyrmions imposed onto a superconductor
• Majorana fermions in ferromagnetic chains on the surface of bulk spin-orbit coupled $s$-wave superconductors
• Quantum Spin Hall Effect in Strip of Stripes Model
• Scaling of sub-gap excitations in a superconductor-semiconductor nanowire quantum dot
• Amorphous topological superconductivity in a Shiba glass
• Interplay of topological phases in magnetic adatom-chains on top of a Rashba superconducting surface
• Superconducting Gap Renormalization around two Magnetic Impurities: From Shiba to Andreev Bound States
• Self-organized topological state in the magnetic chain on the surface of a superconductor
• Spin-dependent coupling between quantum dots and topological quantum wires
• Scaling of Yu-Shiba-Rusinov energies in the weak-coupling Kondo regime
• Spiral magnetic order and topological superconductivity in a chain of magnetic adatoms on a two-dimensional superconductor
• Majorana Edge States in Superconductor/Noncollinear Magnet Interfaces
• Fractional Charge and Spin States in Topological Insulator Constrictions
• Controlling in-gap end states by linking nonmagnetic atoms and artificially-constructed spin chains on superconductors
• Majorana Fermions in Magnetic Chains
• Cavity quantum electrodynamics with mesoscopic topological superconductors
• Topological Phases of Inhomogeneous Superconductivity
• Robust Majorana conductance peaks for a superconducting lead
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Majorana bound states in semiconducting nanostructures
• Finite-size effects in a nanowire strongly coupled to a thin superconducting shell
• Tuning interactions between spins in a superconductor
• Impurity-induced bound states in superconductors with spin-orbit coupling
• Skyrmion-induced bound states in a superconductor
• Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
• The Majorana spin in magnetic atomic chain systems
• Spin-orbit-coupled ferroelectric superconductivity
• Observation of tunable single-atom Yu-Shiba-Rusinov states
• Order out of Randomness : Self-Organization Processes in Astrophysics
• Tunable Magnetic Textures: From Majorana Bound States to Braiding
• Competition of electron-phonon mediated superconductivity and Stoner magnetism on a flat band
• Detection of Majorana Kramers pairs using a quantum point contact
• Helical nuclear spin order in a strip of stripes in the Quantum Hall regime
• Tomography of Majorana Fermions with STM Tips
• Scaling Theory of Topological Phase Transitions
• Topological properties of helical Shiba chains with general impurity strength and hybridization
• Parity-to-charge conversion in Majorana qubit readout
• Helical Liquids in Semiconductors
• Topological properties of chains of magnetic impurities on a superconducting substrate: Interplay between the Shiba band and ferromagnetic wire limits
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• Current Correlations in a Majorana Beam Splitter
• Electrical control of Majorana Bound States Using Magnetic Stripes
• Chern mosaic - topology of chiral superconductivity on ferromagnetic adatom lattices
• Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
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• Impurity Induced Quantum Phase Transitions and Magnetic Order in Conventional Superconductors: Competition between Bound and Quasiparticle states
• Boundary spin polarization as robust signature of topological phase transition in Majorana nanowires
• Colloquium: Quantum Properties and Functionalities of Magnetic Skyrmions
• Unveiling odd-frequency pairing around a magnetic impurity in a superconductor
• Self-stabilizing temperature driven crossover between topological and non-topological ordered phases in one-dimensional conductors
• Tuning topological superconductivity in helical Shiba chains by supercurrent
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• Suppression of the overlap between Majorana fermions by orbital magnetic effects in semiconducting-superconducting nanowires
• Majorana Zero Modes Protected by Hopf Invariant in Topologically Trivial Superconductors
• Controlling Majorana states in topologically inhomogeneous superconductors
• Scaling Theory of ${\mathbb{Z}}_2$ Topological Invariants
• Synthetic Weyl Points and Chiral Anomaly in Majorana Devices with Nonstandard Andreev-Bound-State Spectra
• Majorana Bound States Induced by Antiferromagnetic Skyrmion Textures
• Destructive interference of direct and crossed Andreev pairing in a system of two nanowires coupled via an s-wave superconductor
• Aspects of topological superconductivity in 2D systems: noncollinear magnetism, skyrmions, and higher-order topology
• DIII Topological Superconductivity with Emergent Time-Reversal Symmetry
• Majorana/Andreev crossover and the fate of the topological phase transition in inhomogeneous nanowires
• Topological superconductivity in ferromagnetic atom chains beyond the deep-impurity regime
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Non-topological parafermions in a one-dimensional fermionic model with even multiplet pairing
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Topologically nontrivial Andreev bound states
• Majorana bound state localization and energy oscillations for magnetic impurity chains on conventional superconductors
• Disorder robustness and protection of Majorana bound states in ferromagnetic chains on conventional superconductors
• Proximity effect in a two-dimensional electron gas coupled to a thin superconducting layer
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• Unravelling incommensurate magnetism and its emergence in iron-based superconductors
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• Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
• Multiple-scattering approach for multi-spin chiral magnetic interactions: Application to the one- and two-dimensional Rashba electron gas
• Large spatial extension of the zero-energy Yu-Shiba-Rusinov state in magnetic field
• Shiba chains of scalar impurities on unconventional superconductors
• Interplay of Magnetic Order, Pairing and Phase Separation in a One Dimensional Spin Fermion Model
• Identifying Majorana bound states by tunneling shot-noise tomography
• Odd-frequency superconductivity near a magnetic impurity in a conventional superconductor
• Asymptotic behavior of impurity-induced bound states in low-dimensional topological superconductors
• Topological superconductivity in a multichannel Yu-Shiba-Rusinov chain
• Josephson transistor from the superconducting diode effect in domain wall and skyrmion magnetic racetracks
• Josephson effect in topological superconducting rings coupled to a microwave cavity
• Spin-lattice order in one-dimensional conductors: beyond the RKKY effect
• Magnetic impurity in a one-dimensional few-fermion system
• Influence of interactions on the anomalous quantum Hall effect
• Prevalence of trivial zero-energy sub-gap states in non-uniform helical spin chains on the surface of superconductors
• Topological state engineering by potential impurities on chiral superconductors
• Magnetoelectrically-Tunable Andreev-Bound-State Spectra and Spin Polarization in P-Wave Josephson Junctions
• Majorana fermions at odd junctions in a wire network of ferromagnetic impurities
• Disorder-induced topological transitions in multichannel Majorana wires
• Realizing Topological Superconductivity with Superlattices
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Chirality selective spin interactions mediated by the superconducting current
• Control and detection of Majorana bound states in quantum dot arrays
• Topological D+p-wave superconductivity in Rashba systems
• Majorana molecules and their spectral fingerprints
• Flux-Stabilized Majorana Zero Modes in Coupled One-Dimensional Fermi Wires
• Magnetoelectric coupling in superconductor-helimagnet heterostructures
• Majorana fermion fingerprints in spin-polarised scanning tunneling microscopy
• Controlling topological superconductivity by magnetization dynamics
• Majorana quasiparticles in atomic spin chains on superconductors
• Topological Yu-Shiba-Rusinov chain in monolayer transition-metal dichalcogenide superconductors
• Rashba Sandwiches with Topological Superconducting Phases
• Probing Majorana-like states in quantum dots and quantum rings
• Winding up quantum spin helices: How avoided level crossings exile classical topological protection
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Dimerization-induced topological superconductivity in a Rashba nanowire
• Collective Yu-Shiba-Rusinov states in magnetic clusters at superconducting surfaces
• Chiral symmetries and Majorana fermions in coupled magnetic atomic chains on a superconductor
• Probing Majorana and Andreev Bound States with Waiting Times
• Topological superconductivity at finite temperatures in proximitized magnetic nanowires
• Majorana zero modes and their bosonization
• Majoranas with and without a 'character': hybridization, braiding and Majorana number
• Microwave detection of gliding Majorana zero modes in nanowires
• Supercurrent-Induced Spin-Orbit Torques
• Magnetic response of Majorana Kramers pairs with an order-two symmetry
• Engineering of Chern insulators and circuits of topological edge states
• Tuning paramagnetic spin-excitations of single adatoms
• Type-I and type-II topological nodal superconductors with $s$-wave interaction
• Majorana bound states in nanowire-superconductor hybrid systems in periodic magnetic fields
• Non-Kondo many-body physics in a Majorana-based Kondo type system
• Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a $p$-wave superconductor
• Disorder-generated non-Abelions
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• Quasiparticle focusing of bound states in two-dimensional $s$-wave superconductors
• Trapping Majorana Zero Modes in Vortices of Magnetic Texture Crystals Coupled to Nodal Superconductors
• Characterizing Dynamic Majorana Hybridization for Universal Quantum Computing
• NMR Response of Nuclear Spin Helix in Quantum Wires with Hyperfine and Spin-Orbit Interaction
• Time-reversal-invariant topological superconductivity
• Translation symmetry-enriched toric code insulator
• First principles study of topological phase in chains of $3d$ transition metals
• Yu-Shiba-Rusinov States and Ordering of Magnetic Impurities Near the Boundary of a Superconducting Nanowire
• Time-Reversal Invariant Topological Superconductivity in Planar Josephson Bijunction
• Complex magnetic ground states and topological electronic phases of atomic spin chains on superconductors
• Anatomy of Spin and Current Generation from Magnetization Gradients in Topological Insulators and Rashba Metals
• Driving Topological Phases by Spatially Inhomogeneous Pairing Centers
• Topological superconductivity and anti-Shiba states in disordered chains of magnetic adatoms
• Mobile magnetic impurities in a Fermi superfluid: a route to designer molecules
• Mechanisms for Magnetic Skyrmion Catalysis and Topological Superconductivity
• Transport signatures of topological phases in double nanowires probed by spin-polarized STM
• Topological superconductivity in a magnetic-texture coupled Josephson junction
• Unconventional topological transitions in a self-organized magnetic ladder
• Detecting Majorana fermions by use of superconductor-quantum Hall liquid junctions
• Effect of Van Hove singularities on Shiba states in two-dimensional $s$-wave superconductors
• Interaction Driven Floquet Engineering of Topological Superconductivity in Rashba Nanowires
• Superlattice platform for chiral superconductivity with tuneable and high Chern numbers
• Fractional quantization of charge and spin in topological quantum pumps
• Analytical and semianalytical tools to determine the topological character of Shiba chains
• Spin liquid mediated RKKY interaction
• Majorana zero modes in a magnetic and superconducting hybrid vortex
• Controlling Majorana hybridization in magnetic chain-superconductor systems
• Spin-fluctuation and spin-relaxation effects of single adatoms from first principles
• Yu-Shiba-Rusinov states in a superconductor with topological Z2 bands
• Edge states and local electronic structure around an adsorbed impurity in a topological superconductor
• Zero energy modes in a superconductor with ferromagnetic adatom chains and quantum phase transitions
• Nonlocal Damping of Helimagnets in One-Dimensional Interacting Electron Systems
• Engineering 1D topological phases on $p$-wave superconductors
• RKKY interaction in one-dimensional flat-band lattices
• Dynamical Shiba states by precessing magnetic moments in an s-wave superconductor
• Universal conductance dips and fractional excitations in a two-subband quantum wire
• Majorana-magnon interactions in topological Shiba chains
• Impurity-induced subgap states in superconductors with inhomogeneous pairing
• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. I. Continuum description
• Optically and electrically controllable adatom spin-orbital dynamics in transition metal dichalcogenides
• Magnetic impurities along the edge of a quantum spin Hall insulator: Realizing a one-dimensional AIII insulator
• Dynamical torques from Shiba states in $s$-wave superconductors
• Platform for controllable Majorana zero modes using superconductor/ferromagnet heterostructures
• Temperature-driven BCS-BEC crossover in a coupled boson-fermion system
• RKKY interaction at helical edges of topological superconductors
• Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. II. Topological classification
• Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow
• Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors
• Spin-Exchange Induced Spillover on Poor Man's Majoranas in Minimal Kitaev Chains
• Altermagnet-Superconductor Heterostructure: a Scalable Platform for Braiding of Majorana Modes
• Theory of universal differential conductance of magnetic Weyl type -II junctions
• Signatures of non-trivial band topology in LaAs/LaBi heterostructure
• Spin-resolved nonlocal transport in proximitized Rashba nanowires
• Investigation of the Yu-Shiba-Rusinov states of a multi-impurity Kondo system
• Boundary states in the chiral symmetric systems with a spatial symmetry
• Generation and control of noncollinear magnetism by supercurrent
• Effects of electron-electron interactions in the Yu-Shiba-Rusinov lattice model
• Instability of Majorana states in Shiba chains due to leakage into a topological substrate
• Magnetic flux induced higher-order topological superconductivity
• Magnetic flux induced topological superconductivity in magnetic atomic rings
• Topological phase transitions in superconductors with chiral symmetry
• Chirality-selective proximity effect between chiral $p$-wave superconductors and quantum Hall insulators
• Fractionalization of Majorana-Ising-type quasiparticles
• Embedded Majorana Islands
• Topological Classification of One-Dimensional Chiral Symmetric Interfaces
• Majorana modes in helical altermagnet without net magnetism and spin-orbit coupling
• Quantum critical points in tunneling junction of topological superconductor and topological insulator
• Cooper Pair Induced Frustration and Nematicity of Two-Dimensional Magnetic Adatom Lattices
• Fractional spin excitations and conductance in the spiral staircase Heisenberg ladder
• Fermi-Level Pinning of Yu-Shiba-Rusinov States in a Superconductor with Weakly Broken Spin-Rotational Invariance
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Distinguishing Majorana bound states from accidental zero-energy modes with a microwave cavity
• Repulsive-Interaction-Driven Topological Superconductivity in a Landau Level Coupled to an $s$-Wave Superconductor
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
• Skyrmion-vortex hybrid and spin wave solutions in superconducting ferromagnets
• Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing
• Symmetry Reduction and Boundary Modes for Fe-Chains on an s-wave Superconductor
• Spin-dependent tunneling between individual superconducting bound states
• New mechanisms to engineer magnetic skyrmions and topological superconductors
• Electronic and Magnetic Properties of Building Blocks of Mn and Fe Atomic Chains on Nb(110)
• Symmetry-protected topological wire in a topological vacuum
• Spin-polarized zero-bias peak from a single magnetic impurity at an s-wave superconductor: first-principles study
• Detecting and Distinguishing Majorana Zero Modes with the Scanning Tunneling Microscope
• Magnetic order and transport in a spin-fermion model on a superlattice
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method
• Majorana bound states with chiral magnetic textures