Majorana quasiparticles of inhomogeneous Rashba chain
arXiv:1609.00685 · doi:10.1103/PhysRevB.95.045429
Abstract
We investigate the inhomogeneous Rashba chain coupled to a superconducting substrate, hosting the Majorana quasiparticles near its edges. We discuss its subgap spectrum and study how robust are the zero-energy quasiparticles against the diagonal and off-diagonal disorder. Studying the topological invariant we show that disorder induced transition from the topologically non-trivial to trivial phases is manifested by characteristic features in the spatially-resolved quasiparticle spectrum at zero energy. We provide evidence for the non-local nature of the zero-energy Majorana quasiparticles, that are well preserved upon partitioning the chain into separate pieces. Even though the Majorana quasiparticles are not completely immune to inhomogeneity we show that they can spread onto other (normal) nanoscopic objects via the proximity effect.
arXiv comment15 pages, 22 figures
References in corpus (57)
- 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
- 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
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- Search for Majorana fermions in superconductors
- Direct observation of Anderson localization of matter-waves in a controlled disorder
- Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
- Introduction to topological superconductivity and Majorana fermions
- Majorana Fermions in Equilibrium and Driven Cold Atom Quantum Wires
- Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
- 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
- Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
- Fermion zero modes on vortices in chiral superconductors
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Majorana Fermions in Semiconductor Nanowires
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- 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
- A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
- Quantized conductance at the Majorana phase transition in a disordered superconducting wire
- Search for Majorana fermions in multiband semiconducting nanowires
- How to realize a robust practical Majorana chain in a quantum dot-superconductor linear array
- Majorana edge states in interacting one-dimensional systems
- AC Josephson effect in finite-length nanowire junctions with Majorana modes
- Majorana Fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials
- Composite Majorana Fermion Wavefunctions in Nanowires
- Scattering formula for the topological quantum number of a disordered multi-mode wire
- Subtle leakage of a Majorana mode into a quantum dot
- Probability distribution of Majorana end-state energies in disordered wires
- Spectral properties of locally correlated electrons in a BCS superconductor
- Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling
- Splitting of Majorana modes due to intervortex tunneling in a p + ip superconductor
- Strong localization of Majorana end states in chains of magnetic adatoms
- Majorana bound states without vortices in topological superconductors with electrostatic defects
- Adaptive tuning of Majorana fermions in a quantum dot chain
- Interaction effects on a Majorana zero mode leaking into a quantum dot
- Interacting topological phases in multiband nanowires
- Mutation of Andreev into Majorana bound states in long NS and SNS junctions
- Majorana wavefunction oscillations, fermion parity switches, and disorder in Kitaev chains
- Fermionic and Majorana Bound States in Hybrid Nanowires with Non-Uniform Spin-Orbit Interaction
- Interplay of Kondo and superconducting correlations in the nonequilibrium Andreev transport through a quantum dot
- Proximity effect and Majorana bound states in clean semiconductor nanowires coupled to disordered superconductors
- Topological Phases of Inhomogeneous Superconductivity
- Approaching a topological phase transition in Majorana nanowires
- Local density of states in metal - topological superconductor hybrid systems
- Tomography of Majorana Fermions with STM Tips
- Bulk disorder in the superconductor affects proximity-induced topological superconductivity
- Majoranas in Noisy Kitaev Wires
- Majorana bound states in a disordered quantum dot chain
- Calculation of the conductance of a graphene sheet using the Chalker-Coddington network model
- Extracting entangled qubits from Majorana fermions in quantum dot chains through the measurement of parity
- Effect of disorder in non-uniform hybrid nanowires with Majorana and fermionic bound states
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- Metallization of Rashba wire by superconducting layer in the strong-proximity regime
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- Spin-polarized Andreev tunneling through the Rashba chain
- How to measure the Majorana polarization of a topological planar Josephson junction
- Universal two-time correlations, out-of-time-ordered correlators and Leggett-Garg inequality violation by edge Majorana fermion qubits
- Identification of Majorana Modes in Interacting Systems by Local Integrals of Motion
- Magnetic field effects on a nanowire with inhomogeneous Rashba spin-orbit coupling: Spin properties at equilibrium
- Dimerization-induced topological superconductivity in a Rashba nanowire
- Topological isoconductance signatures in Majorana nanowires
- Topological superconductivity at finite temperatures in proximitized magnetic nanowires
- Majorana phase-gate based on the geometric phase
- Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
- Topologically nontrivial and trivial zero modes in chiral molecules
- Signatures of Kondo-Majorana interplay in ac response
- Interplay between pairing and correlations in spin-polarized bound states
- Symmetry-protected topological wire in a topological vacuum
- Signatures of Majorana bound states in scanning gate microscopy of hybrid nanowires
- Identification of the Majorana edge modes in tight-binding systems based on the Krylov method