Transition from fractional to Majorana fermions in Rashba nanowires

Abstract

We study hybrid superconducting-semiconducting nanowires in the presence of Rashba spin-orbit interaction as well as helical magnetic fields. We show that the interplay between them leads to a competition of phases with two topological gaps closing and reopening, resulting in unexpected reentrance behavior. Besides the topological phase with localized Majorana fermions (MFs) we find new phases characterized by fractionally charged fermion (FF) bound states of Jackiw-Rebbi type. The system can be fully gapped by the magnetic fields alone, giving rise to FFs that transmute into MFs upon turning on superconductivity. We find explicit analytical solutions for MF and FF bound states and determine the phase diagram numerically by determining the corresponding Wronskian null space. We show by renormalization group arguments that electron-electron interactions enhance the Zeeman gaps opened by the fields.

References in corpus (24)

• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• 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
• Helical liquids and Majorana bound states in quantum wires
• New directions in the pursuit of Majorana fermions in solid state systems
• Non-Abelian statistics and topological quantum information processing in 1D wire networks
• Majorana fermions in a tunable semiconductor device
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Topological Phases of Noncentrosymmetric Superconductors: Edge States, Majorana Fermions, and the Non-Abelian Statistics
• Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Majorana edge states in interacting one-dimensional systems
• Spin-selective Peierls transition in interacting one-dimensional conductors with spin-orbit interaction
• Composite Majorana Fermion Wavefunctions in Nanowires
• Majorana fermions in superconducting nanowires without spin-orbit coupling
• Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling
• Majorana End-States in Multi-band Microstructures with Rashba Spin-Orbit Coupling
• Nuclear magnetism and electron order in interacting one-dimensional conductors
• Electric-Field Induced Majorana Fermions in Armchair Carbon Nanotubes
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• Localized end states in density modulated quantum wires and rings
• Counting Majorana zero modes in superconductors

Cited by in corpus (145)

• Topological Superconductivity and Majorana Fermions in RKKY Systems
• Majorana Kramers pairs in higher-order topological insulators
• Time-Reversal Invariant Parafermions in Interacting Rashba Nanowires
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Majorana states in helical Shiba chains and ladders
• Spintronics in MoS_2 monolayer quantum wires
• Majorana bound states in magnetic skyrmions
• Time-Reversal-Invariant $Z_4$ Fractional Josephson Effect
• Fermion Fractionalization to Majorana Fermions in Dimerized Kitaev Superconductor
• 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
• Topological Floquet Phases in Driven Coupled Rashba Nanowires
• Majorana nanowires for topological quantum computation
• Parafermions in Interacting Nanowire Bundle
• Synthetic spin orbit interaction for Majorana devices
• Metallization of Rashba wire by superconducting layer in the strong-proximity regime
• Floquet Majorana and Para-Fermions in Driven Rashba Nanowires
• RKKY interaction in carbon nanotubes and graphene nanoribbons
• Giant spin orbit interaction due to rotating magnetic fields in graphene nanoribbons
• Cubic spin-orbit coupling and anomalous Josephson effect in planar junctions
• Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
• Majorana Fermions in Ge/Si Hole Nanowires
• Majorana edge modes in the Kitaev model
• Quantum Spin Hall Effect in Strip of Stripes Model
• From fractionally charged solitons to Majorana bound states in a one-dimensional interacting model
• Helical States in Curved Bilayer Graphene
• Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems
• Kaleidoscope of symmetry protected topological phases in one-dimensional periodically modulated lattices
• Fractional Charge and Spin States in Topological Insulator Constrictions
• Spin and Charge Signatures of Topological Superconductivity in Rashba Nanowires
• Integer and Fractional Quantum Hall Effect in a Strip of Stripes
• Majorana Fermions in Magnetic Chains
• Fractional Fermions with Non-Abelian Statistics
• Topological Phases of Inhomogeneous Superconductivity
• Tunable magnetic textures in spin valves: From spintronics to Majorana bound states
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Majorana bound states in semiconducting nanostructures
• Conductance behavior in nanowires with spin-orbit interaction -- A numerical study
• Phase Control of Majorana Bound States in a Topological X Junction
• Integer and Fractional Quantum Anomalous Hall Effect in a Strip of Stripes Model
• Tuning Topological Superconductivity in Phase-Controlled Josephson Junctions with Rashba and Dresselhaus Spin-Orbit Coupling
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Conductance spectroscopy of topological superconductor wire junctions
• Tunable Magnetic Textures: From Majorana Bound States to Braiding
• Topological Edge States and Fractional Quantum Hall Effect from Umklapp Scattering
• Transport signature of fractional Fermions in Rashba nanowires
• Topological properties of helical Shiba chains with general impurity strength and hybridization
• Tomography of Majorana Fermions with STM Tips
• Helical Liquids in Semiconductors
• Topological pi Josephson junction in superconducting Rashba wires
• Antiferromagnetic nuclear spin helix and topological superconductivity in ${}^{13}$C nanotubes
• Electrical control of Majorana Bound States Using Magnetic Stripes
• Majorana modes in emergent-wire phases of helical and cycloidal magnet-superconductor hybrids
• Boundary spin polarization as robust signature of topological phase transition in Majorana nanowires
• Tuning topological superconductivity in helical Shiba chains by supercurrent
• Fractional boundary charges in quantum dot arrays with density modulation
• Self-stabilizing temperature driven crossover between topological and non-topological ordered phases in one-dimensional conductors
• Low-field Topological Threshold in Majorana Double Nanowires
• Suppression of the overlap between Majorana fermions by orbital magnetic effects in semiconducting-superconducting nanowires
• Local Spin Susceptibilities of Low-Dimensional Electron Systems
• Anisotropic topological superconductivity in Josephson junctions
• Controlling Majorana states in topologically inhomogeneous superconductors
• Majorana Bound States Induced by Antiferromagnetic Skyrmion Textures
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• Transforming common III-V and II-VI semiconductor compounds into topological heterostructures: The case of CdTe/InSb superlattices
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• 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
• Double-frequency Aharonov-Bohm effect and non-Abelian braiding properties of Jackiw-Rebbi zero-mode
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• Topological Superconductivity Induced by Magnetic Texture Crystals
• Zeeman-field-induced nontrivial topological phases in a one-dimensional spin-orbit-coupled dimerized lattice
• Topologically nontrivial Andreev bound states
• Effects of tilting the magnetic field in 1D Majorana nanowires
• Proximity effect in a two-dimensional electron gas coupled to a thin superconducting layer
• Degeneracy lifting of Majorana bound states due to electron-phonon interactions
• From fractional boundary charges to quantized Hall conductance
• Helical nuclear spin order in two-subband quantum wires
• Majorana Bound States in Double Nanowires with Reduced Zeeman Thresholds due to Supercurrents
• Josephson transistor from the superconducting diode effect in domain wall and skyrmion magnetic racetracks
• Strong Electron-Electron Interactions of a Tomonaga--Luttinger Liquid Observed in InAs Quantum Wires
• Exceptional points for chiral Majorana fermions in arbitrary dimensions
• Spin-lattice order in one-dimensional conductors: beyond the RKKY effect
• Fractional charge oscillations in quantum spin Hall quantum dots
• Majorana bound states in a superconducting Rashba nanowire in the presence of antiferromagnetic order
• Electron spin rotations induced by oscillating Rashba interaction in a quantum wire
• Designing Nanomagnet Arrays for Topological Nanowires in Si
• Levitons in helical liquids with Rashba spin-orbit coupling probed by a superconducting contact
• Crystalline Anisotropic Topological Superconductivity in Planar Josephson Junctions
• Integrating micromagnets and hybrid nanowires for topological quantum computing
• Probing Majorana-like states in quantum dots and quantum rings
• Rashba Sandwiches with Topological Superconducting Phases
• Quantum charge pumping through fractional Fermions in charge density modulated quantum wires and Rashba nanowires
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Probing Majorana and Andreev Bound States with Waiting Times
• Majorana bound state engineering via efficient real-space parameter optimization
• Topological states in normal and superconducting $p$-wave chains
• Majoranas with and without a 'character': hybridization, braiding and Majorana number
• Machine learning optimization of Majorana hybrid nanowires
• Majorana zero modes and their bosonization
• Reentrant topological transitions with Majorana end states in 1D superconductors by lattice modulation
• Exporting superconductivity across the gap: Proximity effect for semiconductor valence-band states due to contact with a simple-metal superconductor
• Magnetically-Confined Bound States in Rashba Systems
• Rational boundary charge in one-dimensional systems with interaction and disorder
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Nuclear Spin Relaxation in Rashba Nanowires
• Majorana bound states in nanowire-superconductor hybrid systems in periodic magnetic fields
• Generation of Schrödinger's cat states in a planar semiconductor heterostructure
• NMR Response of Nuclear Spin Helix in Quantum Wires with Hyperfine and Spin-Orbit Interaction
• Majorana states and devices in magnetic structures
• Detecting topological phases via survival probabilities of edge Majorana fermions
• Generation of spin-dependent coherent states in a quantum wire
• Clock model and parafermions in Rashba nanowires
• Chiral and Non-Chiral Edge States in Quantum Hall Systems with Charge Density Modulation
• From Coupled Rashba Electron and Hole Gas Layers to 3D Topological Insulators
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Magnetoresistence engineering and singlet/triplet switching in InAs nanowire quantum dots with ferromagnetic sidegates
• Topological superconductivity in a magnetic-texture coupled Josephson junction
• Fractional boundary charges with quantized slopes in interacting one- and two-dimensional systems
• Counting Majorana bound states using complex momenta
• A NOT operation on Majorana qubits with mobilizable solitons in an extended Su-Schrieffer-Heeger model
• Jackiw-Rebbi zero modes in non-uniform topological insulator nanowire
• Fractional quantization of charge and spin in topological quantum pumps
• Universal conductance dips and fractional excitations in a two-subband quantum wire
• Topological gap protocol based machine learning optimization of Majorana hybrid wires
• Zero-dimensional topologically nontrivial state in a superconducting quantum dot
• Universal properties of boundary and interface charges in multichannel one-dimensional continuum models
• Dynamical Chiral Symmetry and Symmetry-Class Conversion in Floquet Topological Insulators
• Assessing bound states in a one-dimensional topological superconductor: Majorana versus Tamm
• Universality of Abelian and non-Abelian Wannier functions in one dimension
• Field-Programmable Topological Array: Framework and Case-Studies
• Jackiw-Rebbi-type bound state carrying fractional fermion parity
• Staggered spin-orbit interaction in a nanoscale device
• Helical liquid of snake states
• All-electric single electron spin-to-charge conversion
• Percolative supercurrent in superconductor-ferromagnetic insulator bilayers
• Sub-gap Fano resonances in a topological superconducting wire with on-site Coulomb interactions
• Coulomb-exchange effects in nanowires with spin splitting due to a radial electric field
• Fractional chiral second-order topological insulator from a three-dimensional array of coupled wires
• Majorana bound states with chiral magnetic textures
• Fate of Majorana zero modes by a modified real-space-Pfaffian method and mobility edges in a one-dimensional quasiperiodic lattice
• Majorana edge and end states in planar Josephson junctions
• Signatures of Topological Transitions in the Spin Susceptibility of Josephson Junctions