Edge states, Majorana fermions and topological order in superconducting wires with generalized boundary conditions
arXiv:2207.01423 · doi:10.1103/PhysRevB.106.155407
Abstract
We study the properties of one-dimensional topological superconductors under the influence of generic boundary conditions mimicking the coupling with external environments. We identify a general four-parameters classification of the boundary effects and show that particle-hole and reflection symmetries can be broken or preserved by appropriately fixing the boundary parameters. When the particle-hole symmetry is broken, the topological protection of the edge modes is lost due to the hybridization with the external degrees of freedom (quasiparticle poisoning). We assess the robustness of the edge modes in the various regimes by considering different quantifiers of topological properties. In particular, we investigate the resilience of the long-distance, edge-to-edge quantum mutual information and squashed entanglement, measuring the nonlocal correlations of the Majorana excitations. Besides their relevance for the open dynamics of topological systems, these results may provide a useful guide to the appropriate embedding of low-dimensional topological systems on nanodevices in realistic conditions.
arXiv comment11 pages, 5 figures
References in corpus (84)
- Topological Insulators
- 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
- Novel Symmetry Classes in Mesoscopic Normal-Superconducting Hybrid Structures
- Quantized Anomalous Hall Effect in Magnetic Topological Insulators
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Search for Majorana fermions in superconductors
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Topological superconductors: a review
- Majorana fermions in a tunable semiconductor device
- Majorana Fermion Induced Resonant Andreev Reflection
- Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
- Manipulation of Majorana fermion, Andreev reflection and Josephson current on topological insulators
- Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
- Splitting of a Cooper pair by a pair of Majorana bound states
- From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
- "Squashed Entanglement" - An Additive Entanglement Measure
- Scaling of Majorana Zero-Bias Conductance Peaks
- Unconventional superconductivity on a topological insulator
- Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Transport spectroscopy of NS nanowire junctions with Majorana fermions
- Towards a realistic transport modeling in a superconducting nanowire with Majorana fermions
- Fractional ac Josephson effect in p- and d-wave superconductors
- A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
- Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
- Quantized conductance at the Majorana phase transition in a disordered superconducting wire
- Midgap edge states and pairing symmetry of quasi-one-dimensional organic superconductors
- Quantized Anomalous Hall Effect in Two-Dimensional Ferromagnets - Quantum Hall Effect from Metal -
- Spin and Majorana polarization in topological superconducting wires
- Kitaev chains with long-range pairing
- Majorana Fermions in superconducting 1D systems having periodic, quasiperiodic, and disordered potentials
- Majorana Fermions in superconducting wires: effects of long-range hopping, broken time-reversal symmetry and potential landscapes
- Scattering formula for the topological quantum number of a disordered multi-mode wire
- SNS junctions in nanowires with spin-orbit coupling: role of confinement and helicity on the sub-gap spectrum
- Probability distribution of Majorana end-state energies in disordered wires
- Topological superconducting phases in disordered quantum wires with strong spin-orbit coupling
- Majorana bound states without vortices in topological superconductors with electrostatic defects
- Non-Hermitian topology: a unifying framework for the Andreev versus Majorana states controversy
- Coulomb stability of the 4π-periodic Josephson effect of Majorana fermions
- Zero bias conductance peak in Majorana wires made of semiconductor-superconductor hybrid structures
- Distinguishing topological Majorana bound states from trivial Andreev bound states: Proposed tests through differential tunneling conductance spectroscopy
- Effects of electron scattering on the topological properties of nanowires: Majorana fermions from disorder and superlattices
- Density of states of disordered topological superconductor-semiconductor hybrid nanowires
- Extended Kitaev chain with longer-range hopping and pairing
- An experimentally accessible quality factor for Majorana wires
- Localization in disordered superconducting wires with broken spin-rotation symmetry
- Supercurrent and multiple Andreev reflections in an InSb nanowire Josephson junction
- Squashed entanglement for multipartite states and entanglement measures based on the mixed convex roof
- Mutation of Andreev into Majorana bound states in long NS and SNS junctions
- Majorana wavefunction oscillations, fermion parity switches, and disorder in Kitaev chains
- Visualising Majorana bound states in 1D and 2D using the generalized Majorana polarization
- Anomalous bulk-edge correspondence in continuous media
- Majorana fermions in density modulated p-wave superconducting wires
- Conductance of a superconducting Coulomb blockaded Majorana nanowire
- Braiding of Atomic Majorana Fermions in Wire Networks and Implementation of the Deutsch-Josza Algorithm
- Majorana fermion chain at the Quantum Spin Hall edge
- Detecting Majorana bound states
- Unconventional thermal metallic state of charge-neutral fermions in an insulator
- Conductance spectroscopy of topological superconductor wire junctions
- Quasiclassical theory of disordered multi-channel Majorana quantum wires
- Bulk Fermi surface of charge-neutral excitations in SmB6 or not: a heat-transport study
- Dynamical formation and manipulation of Majorana fermions in driven quantum wires
- Majorana fermions in spin-orbit coupled ferromagnetic Josephson junctions
- Edge insulating topological phases in a two-dimensional long-range superconductor
- Resilience of Majorana Fermions in the face of Disorder
- Unveiling Signatures of Topological Phases in Open Kitaev Chains and Ladders
- Testing the formation of Majorana states using the Majorana Polarization
- Quantization of Topological Invariants under Symmetry-Breaking Disorder
- Charge-neutral nonlocal response in superconductor-InAs nanowire hybrid devices
- Effects of finite superconducting coherence lengths and of phase gradients in topological SN and SNS junctions and rings
- Topological phases of a Kitaev tie
- Proposed Detection of the Topological Phase in Ring-Shaped Semiconductor-Superconductor Nanowires Using Coulomb Blockade Transport
- Topological phases of an interacting Majorana Benalcazar-Bernevig-Hughes model
- Majorana fermion arcs and the local density of states of UTe
- Electron-boson-interaction induced particle-hole symmetry breaking of conductance into subgap states in superconductors
- Rigidity of topological invariants to symmetry breakings
- Majorana modes in multiband superconducting quantum wires
- Ever-present Majorana bound state in a generic one-dimensional superconductor with odd number of Fermi surfaces