Exponential Protection of Zero Modes in Majorana Islands
arXiv:1603.03217 · doi:10.1038/nature17162
Abstract
Majorana zero modes are quasiparticle excitations in condensed matter systems that have been proposed as building blocks of fault-tolerant quantum computers [1]. They are expected to exhibit non-Abelian particle statistics, in contrast to the usual statistics of fermions and bosons, enabling quantum operations to be performed by braiding isolated modes around one another. Quantum braiding operations are topologically protected insofar as these modes are pinned near zero energy, and the pinning is predicted to be exponential as the modes become spatially separated. Following theoretical proposals, several experiments have identified signatures of Majorana modes in proximitized nanowires and atomic chains, with small mode-splitting potentially explained by hybridization of Majoranas. Here, we use Coulomb-blockade spectroscopy in an InAs nanowire segment with epitaxial aluminum, which forms a proximity-induced superconducting Coulomb island (a Majorana island) that is isolated from normal-metal leads by tunnel barriers, to measure the splitting of near-zero-energy Majorana modes. We observe exponential suppression of energy splitting with increasing wire length. For short devices of a few hundred nanometers, sub-gap state energies oscillate as the magnetic field is varied, as is expected for hybridized Majorana modes. Splitting decreases by a factor of about ten for each half micrometer of increased wire length. For devices longer than about one micrometer, transport in strong magnetic fields occurs through a zero-energy state that is energetically isolated from a continuum, yielding uniformly spaced Coulomb-blockade conductance peaks, consistent with teleportation via Majorana modes. Our results help explain the trivial-to-topological transition in finite systems and to quantify the scaling of topological protection with end-mode separation.
arXiv commentmain text and methods section
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- Readout of parafermionic states by transport measurements
- Robust topological phase in proximitized core-shell nanowires coupled to multiple superconductors
- Topological superconductivity in EuS/Au/superconductor heterostructures
- Emerging topological bound states in Haldane model zigzag nanoribbons
- Dirac open quantum system dynamics: formulations and simulations
- Enhanced topological protection in planar quasi-one-dimensional channels with periodically-modulated width
- Majorana quasiparticles in atomic spin chains on superconductors
- Fault-tolerant fermionic quantum computation based on color code
- Detecting coupling of Majorana bound states with an Aharonov-Bohm interferometer
- Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
- Simulating topological tensor networks with Majorana qubits
- Multichannel charge Kondo effect and non-Fermi liquid fixed points in conventional and topological superconductor islands
- Multiple topological transitions driven by the interplay of normal scattering and Andreev scattering
- Josephson effect in junctions of conventional and topological superconductors
- Non-Topological Majorana Zero Modes in Inhomogeneous Spin Ladders
- Enhancement of crossed Andreev reflection in a Kitaev ladder connected to normal metal leads
- Time scales for charge-transfer based operations on Majorana systems
- Spin vs. bond correlations along dangling edges of quantum critical magnets
- Dirac-Fermion-Assisted Interfacial Superconductivity in Epitaxial Topological Insulator/Iron Chalcogenide Heterostructures
- Hallmarks of non-trivial topology in Josephson junctions based on oxide nanochannels
- Controllable Single Cooper Pair Splitting in Hybrid Quantum Dot Systems
- Chiral metals and entrapped insulators in a one-dimensional topological non-Hermitian system
- Integrating micromagnets and hybrid nanowires for topological quantum computing
- Cross-dimensional universality classes in static and periodically driven Kitaev models
- Experimental review on Majorana zero-modes in hybrid nanowires
- Theory of interactions between cavity photons induced by a mesoscopic circuit
- Electrical control of spins and giant g-factors in ring-like coupled quantum dots
- Common nonlinear features and spin-orbit coupling effects in the Zeeman splitting of novel wurtzite materials
- Fano effect in Aharonov-Bohm ring with topologically superconducting bridge
- Durability of the superconducting gap in Majorana nanowires under orbital effects of a magnetic field
- Rashba Sandwiches with Topological Superconducting Phases
- Majorana Kramers pair in a nematic vortex
- Ballistic quantum transport through Ge/Si core/shell nanowires
- InAs nanowire with epitaxial aluminium as a single-electron transistor with fixed tunnel barriers
- Kitaev chain with a quantum dot
- Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
- Fano-Majorana effect and bound states in the continuum on a crossbar-shaped quantum dot hybrid structure
- Optimizing the transport of Majorana zero modes in one-dimensional topological superconductors
- Sublattice-sensitive Majorana Modes
- Signatures of the Majorana spin in electrical transport through a Majorana nanowire
- Non-Hermitian zero-energy pinning of Andreev and Majorana bound states in superconductor-semiconductor systems
- Robust topological superconductivity in weakly coupled nanowire-superconductor hybrid structures
- Energy spectrum and current-phase relation of a nanowire Josephson junction close to the topological transition
- Sinai Diffusion at Quasi-1D Topological Phase Transitions
- Ubiquitous non-local entanglement with Majorana bound states
- Equal-Spin Andreev Reflection in Junctions of Spin-Resolved Quantum Hall Bulk State and Spin-Singlet Superconductor
- Demonstrating Majorana non-Abelian properties using fast adiabatic charge-transfer
- Josephson effect in Majorana box devices
- Renormalization of quantum dot -factor in superconducting Rashba nanowires
- Topological superconductivity and large spin Hall effect in the kagome family Ti6X4 (X = Bi, Sb, Pb, Tl, In)
- Electron waiting times in hybrid junctions with topological superconductors
- Noise threshold and resource cost of fault-tolerant quantum computing with Majorana fermions in hybrid systems
- Sachdev-Ye-Kitaev circuits for braiding and charging Majorana zero modes
- Charge-neutral nonlocal response in superconductor-InAs nanowire hybrid devices
- Can non-local conductance spectra conclusively signal Majorana zero modes? -- Insights from von Neumann entropy
- Fermi liquid approach for superconducting Kondo problems
- Measurement-only topological quantum computation without forced measurements
- Spin-orbit interaction in Pt or Bi2Te3 nanoparticle-decorated graphene realized by a nanoneedle method
- Helical gaps in interacting Rashba wires at low electron densities
- Majorana bound state in the continuum: Coupling between Majorana bound state and quantum dot mediated by continuum
- Compact localized boundary states in a quasi-1D electronic diamond-necklace chain
- Entanglement measures of Majorana bound states
- Dual Majorana universality in thermally induced nonequilibrium
- Fidelity and visibility reduction in Majorana qubits by entanglement with environmental modes
- Topological isoconductance signatures in Majorana nanowires
- Conductance asymmetries in mesoscopic superconducting devices due to finite bias
- Geometry -- dependent effects in Majorana nanowires
- Microwave studies of the fractional Josephson effect in HgTe-based Josephson junctions
- Universal Hall conductance scaling in non-Hermitian Chern insulators
- Transmission phase read-out of a large quantum dot in a nanowire interferometer
- Majorana fermions in finite-size strips with in-plane magnetic fields
- Isolating Majorana fermions with finite Kitaev nanowires and temperature: the universality of the zero-bias conductance
- Accessing the degree of Majorana nonlocality in a quantum dot-optical microcavity system
- Theory of Coulomb blockaded transport in realistic Majorana nanowires
- Resonant inelastic x-ray scattering spectra in the hyperhoneycomb iridate -LiIrO: First principles calculations
- Influence of long-range interaction on Majorana zero modes
- Tunneling conductance in semiconductor-superconductor hybrid structures
- Fermion-Parity-Based Computation and its Majorana-Zero-Mode Implementation
- Selective Area Superconductor Epitaxy to Ballistic Semiconductor Nanowires
- Hard superconducting gap in PbTe nanowires
- Supercurrent parity-meter in a nanowire Cooper-pair transistor
- Majorana zero modes in spintronics devices
- Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with -wave superconductors
- Protocol for reading out Majorana vortex qubit and testing non-Abelian statistics
- Unveiling Majorana Quasiparticles by a Quantum Phase Transition: Proposal of a Current Switch
- Machine learning optimization of Majorana hybrid nanowires
- Proximity induced time-reversal topological superconductivity in Bi2Se3 films without phase tuning
- Signatures of Majorana Kramers pairs in superconductor-Luttinger liquid and superconductor-quantum dot-normal lead junctions
- Heat-mode excitation in a proximity superconductor
- Quasiparticle trapping at vortices producing Josephson supercurrent enhancement
- Anisotropy of the spin-orbit coupling driven by a magnetic field in InAs nanowires
- Bosonization for fermions and parafermions
- Decoherence dynamics of Majorana qubits under braiding operations
- Two-Channel Kondo Physics in a Majorana Island Coupled to a Josephson Junction
- Review: Observation of Majorana Bound States at a Free Surface of He-B
- Quantum phase transitions of the Majorana toric code in the presence of finite Cooper-pair tunneling
- Tomography of zero-energy end modes in topological superconducting wires
- Transconductance as a probe of nonlocality of Majorana fermions
- Supersymmetry in Closed Chains of Coupled Majorana Modes
- Supersymmetry in the Insulating Phase of a Chain of Majorana Cooper Pair Boxes
- Determining the spin-orbit coupling via spin-polarized spectroscopy of magnetic impurities
- Probing Majorana zero modes by measuring transport through an interacting magnetic impurity
- Renormalization of the Majorana bound state decay length in a perpendicular magnetic field
- Charge sensing the parity of an Andreev molecule
- Ising anyonic topological phase of interacting Fermions in one dimension
- Non-Abelian fermion parity interferometry of Majorana bound states in a Fermi sea
- Proposal for measuring the parity anomaly in a topological superconductor ring
- Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
- Magnetic manipulation of topological states in p-wave superconductors
- Local and non-local two-electron tunneling processes in a Cooper pair splitter
- Strongly enlarged topological regime and enhanced superconducting gap in nanowires coupled to Ising superconductors
- Majorana bound states in nanowire-superconductor hybrid systems in periodic magnetic fields
- Thermal decay of the Coulomb blockade oscillations
- Type-I and type-II topological nodal superconductors with -wave interaction
- Non-Kondo many-body physics in a Majorana-based Kondo type system
- Fractional Chern insulator edges and layer-resolved lattice contacts
- Quantum charge fluctuations of a proximitized nanowire
- Curvature of gap closing features and the extraction of Majorana nanowire parameters
- Properties of the Majorana-state tunneling Josephson junction mediated by an interacting quantum dot
- Hot Electrons Regain Coherence in Semiconducting Nanowires
- Dispersive sensing in hybrid InAs/Al nanowires
- Majorana modes in quantum dots coupled via a floating superconducting island
- Superconductivity and parity preservation in as-grown In islands on InAs nanowires
- Meissner effect induced Majorana zero modes at small magnetic field
- Universal quantum computing with parafermions assisted by a half fluxon
- Near-surface InAs 2DEG on a GaAs substrate: characterization and superconducting proximity effect
- Tailoring phase transition from topological superconductor to trivial superconductor induced by magnetic textures of a spin-chain on a -wave superconductor
- Trapping Majorana Zero Modes in Vortices of Magnetic Texture Crystals Coupled to Nodal Superconductors
- Heat dissipation mechanisms in hybrid superconductor-semiconductor devices revealed by Joule spectroscopy
- Transmission Amplitude through a Coulomb blockaded Majorana Wire
- Transport properties of Majorana bound states networks in the Coulomb blockade regime
- Gate tunable parallel double quantum dot in InAs double-nanowire junctions
- Magneto-conductance of topological junctions based on two-dimensional electron gases reveals Majorana phases
- Broadband microwave spectroscopy of semiconductor nanowire-based Cooper-pair transistors
- Majorana signatures in charge transport through a topological superconducting double-island system
- Intermediate states in Andreev bound state fusion
- Interaction effects in a microscopic quantum wire model with strong spin-orbit interaction
- Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
- Phase diagram of a model for topological superconducting wires
- Multiterminal transport spectroscopy of subgap states in Coulomb-blockaded superconductors
- Majorana-induced DC Shapiro steps in topological Josephson junctions
- Nodal S-wave Superconductivity in Antiferromagnetic Semimetals
- Erasing odd-parity states in semiconductor quantum dots coupled to superconductors
- Reshaping the Jaynes-Cummings ladder with Majorana bound states
- Manifestation of Majorana modes overlap in the Aharonov-Bohm effect
- Supercurrent, Multiple Andreev Reflections and Shapiro Steps in InAs Nanosheet Josephson Junctions
- Coulomb Blockade in Fractional Topological Superconductors
- InAs/MoRe hybrid semiconductor/superconductor nanowire devices
- Majorana fermions in topological insulator nanowires: from single superconducting nanowires to Josephson junctions
- Unitary Symmetry-Protected Non-Abelian Statistics of Majorana Modes
- Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
- Effect of topological length on Bound states signatures in a Topological nanowire
- The invisible Majorana bound state at the helical edge
- Dual topological superconducting states in the layered titanium-based oxypnictide superconductor BaTiSbO
- Visibility of noisy quantum dot-based measurements of Majorana qubits
- Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping
- Non-Hermiticity stabilized Majorana zero modes in semiconductor-superconductor nanowires
- Strain manipulation of Majorana fermions in graphene armchair nanoribbons
- Signatures of topological ground state degeneracy in Majorana islands
- Majorana versus Andreev bound state energy oscillations in a 1D semiconductor-superconductor heterostructure
- First principles study of topological phase in chains of transition metals
- Magnetic Field Inducing Zeeman Splitting and Anomalous Conductance Reduction of Half-integer Quantized Plateaus in InAs Quantum Wires
- Reveal the non-local coherent nature from a dissipative Majorana teleportation
- Electrostatic control of quasiparticle poisoning in a hybrid semiconductor-superconductor island
- Moving Majorana bound states between distinct helical edges across a quantum point contact
- Random matrix theory for the robustness, quantization, and end-to-end correlation of zero-bias conductance peaks in a class D ensemble
- Quantum transport in coupled Majorana box systems
- Flux-induced Topological Superconductor in Planar Josephson Junction
- Role of Bath-Induced Many-Body Interactions in the Dissipative Phases of the Su-Schrieffer-Heeger Model
- Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
- Reconstruction-Induced Josephson Effect in Quantum Spin Hall Constrictions
- Multiple intermediate phases in the interpolating Aubry-André-Fibonacci model
- Driving Topological Phases by Spatially Inhomogeneous Pairing Centers
- Topologically enabled superconductivity
- Evolution of the transmission phase through a Coulomb-blockaded Majorana wire
- Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices
- Phase-Controllable Nonlocal Spin Polarization in Proximitized Nanowires
- Coalescing Majorana edge modes in non-Hermitian PT-symmetric Kitaev chain
- Hard-gap spectroscopy in a self-defined mesoscopic InAs/Al nanowire Josephson junction
- Non-Adiabatic Quantum Optimization for Crossing Quantum Phase Transitions
- Low-temperature environments for quantum computation and quantum simulation
- Scheme for Majorana Manipulation Using Magnetic Force Microscopy
- Supercurrent transport through 1-periodic full-shell Coulomb islands
- Thin films as practical quantum materials: a status quo and beyond
- Master equation approach for transport through Majorana zero modes
- Topological spin-singlet superconductors with underlying sublattice structure
- Majorana fermions in the nonuniform Ising-Kitaev chain: exact solution
- Majorana zero modes by engineering topological kink states in two dimensional electron gas
- Holonomic implementation of CNOT gate on topological Majorana qubits
- Graph state representation of the toric code
- Revisiting 2-pi phase slip suppression in topological Josephson junctions
- Transconducting transition for a dynamic boundary coupled to several Luttinger liquids
- Diagnosing Topological Phase Transitions in 1D Superconductors using Berry Singularity Markers
- BCS surrogate models for floating superconductor-semiconductor hybrids
- Majorana-Kondo competition in a cross-shaped double quantum dot-topological superconductor system
- Interaction-induced topological superconductivity in antiferromagnet-superconductor junctions
- Quantum Criticality in Resonant Andreev Conduction
- Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
- Correlation effects on the magnetization process of the Kitaev model
- Dephasing of Majorana qubits due to quasistatic disorder
- Proximity effect and interface transparency in Al/InAs-nanowire/Al diffusive junctions
- Strictly local one-dimensional topological quantum error correction with symmetry-constrained cellular automata
- Leakage of the Majorana quasiparticles in Rashba nanowire deposited on superconducting--normal substrate
- Voltage-tunable Majorana bound states in time-reversal symmetric bilayer quantum spin Hall hybrid systems
- Constrained thermalisation and topological superconductivity
- Measurements of spin-orbit interaction in epitaxially grown InAs nanosheets
- Bound states in the continuum poisoned by Majorana fermions
- Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
- Hybridization mechanism of the dual proximity effect in superconductor-topological insulator interfaces
- Coulomb-interaction-induced Majorana edge modes in nanowires
- Analytic ground state wavefunctions of mean-field superconductors with vortices and boundaries
- Majorana zero-modes in a dissipative Rashba nanowire
- Electrostatic effects and topological superconductivity in semiconductor-superconductor-magnetic insulator hybrid wires
- Magneto-anisotropic weak antilocalization in near-surface quantum wells
- Readout of Majorana bound states via Landau-Zener transition
- Dynamical approach to improving Majorana qubits and distinguishing them from trivial bound states
- Gap oscillations and Majorana bound states in magnetic chains on superconducting honeycomb lattices
- Subgap transport in superconductor--semiconductor hybrid islands: Weak and strong coupling regimes
- Josephson current signature of Floquet Majorana and topological accidental zero modes in altermagnet heterostructures
- Phonon-induced Majorana Qubit Relaxation in Tunnel-Coupled Two-Island Topological Superconductors
- Anisotropic Upper Critical Field, Seebeck and Nernst Coefficient in Nb0.20Bi2Se3 Topological Superconductor
- Identifying Majorana bound states at quantum spin Hall edges using a metallic probe
- Topologically protected heat pumping from braiding Majorana zero modes
- Development of a Nb-based semiconductor-superconductor hybrid platform
- SQUID oscillations in PbTe nanowire networks
- Probing nonlocality of Majorana fermions in Josephson junctions of Kitaev chains connected to normal metal leads
- Chiral topological superconducting state with Chern number in PbBi/Ge(111)
- Inverse proximity effect in semiconductor Majorana nanowires
- Exfoliated hexagonal BN as gate dielectric for InSb nanowire quantum dots with improved gate hysteresis and charge noise
- Magnon-mediated topological superconductivity in a quantum wire
- Josephson current via an isolated Majorana zero mode
- Nonlocality and dynamic response of Majorana states in fermionic superfluids
- Topological Phases in Nodeless Tetragonal Superconductors
- Simulation of Kitaev model using one-dimensional chain of superconducting qubits and environmental effect on topological states
- Majorana Zero Modes in Cylindrical Semiconductor Quantum Wire
- Spin selective coupling to Majorana zero modes in mixed singlet and triplet superconducting nanowire
- Topological gap protocol based machine learning optimization of Majorana hybrid wires
- Diffusive and Ballistic Transport in Ultra-thin InSb Nanowire Devices Using a Few-layer-Graphene-AlOx Gate
- Anisotropic multiband superconductivity in 2M-WS probed by controlled disorder
- Topological ordering in the Majorana Toric Code
- Stabilizing topological superconductivity in disordered spin-orbit coupled semiconductor-superconductor heterostructures
- Double Fu-teleportation and anomalous Coulomb blockade in a Majorana-hosted superconducting island
- Probing Majorana bound states via a pn-junction containing a quantum dot
- Non-Equilibrium Charge Dynamics in Majorana-Josephson Devices
- Topological superconductivity in an ultrathin, magnetically-doped topological insulator proximity coupled to a conventional superconductor
- Exact analytical solution of a time-reversal-invariant topological superconducting wire
- All-electrical spectroscopy of topological phases in semiconductor-superconductor heterostructures
- Transport in a long-range Kitaev ladder: role of Majorana and subgap Andreev states
- Critical Current Anomaly at the Topological Quantum Phase Transition in a Majorana Josephson Junction
- Andreev spectrum of a Josephson junction with spin-split superconductors
- A new twist on the Majorana surface code: Bosonic and fermionic defects for fault-tolerant quantum computation
- Phase transitions in definite total spin states of two-component Fermi gases
- Dynamics of a Majorana trijunction in a microwave cavity
- Richardson model with complex level structure and spin-orbit coupling for hybrid superconducting islands: stepwise suppression of pairing and magnetic pinning
- Physics of the Majorana-superconducting qubit hybrids
- Topological superconductivity in proximity to type-II superconductors
- Charge response of the Majorana toric code
- Quantum phase diagram of Shiba impurities from bosonization
- Fate of the superconducting state in floating islands of hybrid nanowire devices
- The Dirac paradox in 1+1 dimensions and its realization with spin-orbit coupled nanowires
- Transport signatures of a quantum spin Hall - chiral topological superconductor junction
- Coherent Epitaxial Semiconductor-Ferromagnetic Insulator InAs/EuS Interfaces: Band Alignment and Magnetic Structure
- Influence of Rashba spin-orbit coupling on the 0- transition and Kondo temperature in 1D superconductors
- Spin-orbit coupling in quasi-one-dimensional Wigner crystals
- Strongly correlated electrons in superconducting islands with fluctuating Cooper pairs
- Simulating spin systems with Majorana networks
- Superconductor/normal-metal/superconductor junction of topological superconductors revisited: Fractional Josephson current, fermion parity, and oscillating wavefunctions
- Tomasch Oscillations as Above-Gap Signature of Topological Superconductivity
- Strongly suppressed superconducting proximity effect and ferromagnetism in trilayers of / / underdoped : A possible new platform for Majorana nano-electronics
- Quantum Hall valley Ferromagnets as a platform for topologically protected quantum memory
- Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
- Honing in on a topological zero-bias conductance peak
- From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
- Dynamical Phase Error in Interacting Topological Quantum Memories
- Photoemission Spectroscopic Evidence of Multiple Dirac Cones in Superconducting BaSn
- Robustness of Majorana zero-energy state
- Disorder Suppression in Topological Semiconductor-Superconductor Junctions
- Coherent charge and spin oscillations induced by local quenches in nanowires with spin-orbit coupling
- Superconducting triangular islands as a platform for manipulating Majorana zero modes
- Investigation of InAs based devices for topological applications
- Electron transport in quantum channels with spin-orbit interaction: Effects of the sign of the Rashba coupling and applications to nanowires
- Pumped heat and charge statistics from Majorana braiding
- Screening cloud and non-Fermi-liquid scattering in topological Kondo devices
- Fingerprints of Majorana bound states in quantum-rings
- Ising quantum criticality in Majorana nanowires
- Universal Current Correlations Induced by the Majorana and Fermionic Andreev Bound States
- Transport of Majorana Bound State in the presence of telegraph noise
- Superconducting spin properties of Majorana nanowires and the associated superconducting anomalous Hall effect
- Distinguishing Majorana bound states from Andreev bound states through differential conductance and current noise spectrum
- Effect of interatomic repulsion on Majorana zero modes in a coupled quantum-dot-superconducting-nanowire hybrid system
- Majorana polarization in disordered heterostructures
- Shuttling Majorana zero modes in disordered and noisy topological superconductors
- Theory for electron and hole fine structure and Landé g-factors in lead chalcogenide nanowires
- Room-Temperature Pauli Spin Blockade and Current Rectification in 15-13-15 Armchair Graphene Nanoribbon Heterostructures
- Embedded Majorana Islands
- Majorana zero modes in semiconductor-superconductor hybrid structures: Defining topology in short and disordered nanowires through Majorana splitting
- Majorana braiding simulations with projective measurements
- Spin-helical detection in a semiconductor quantum device with ferromagnetic contacts
- Unified scattering approach to Josephson current and thermal noise in BCS and topological superconducting junctions
- Properties of dissipative Floquet Majorana modes using a quantum dot
- Gate-tunable negative differential conductance in hybrid semiconductor-superconductor devices
- Diagonal Entropy and Topological Phase Transitions in Extended Kitaev Chains
- Deterministic topological quantum gates for Majorana qubits without ancillary modes
- 1D Error Correcting Code for Majorana Qubits
- Helical and topological phase detection based on nonlocal conductance measurements in a three terminal junction
- Renormalization effects in spin-polarized metallic wires proximitized by a superconductor: A scattering approach
- Effects of Majorana bound states on dissipation and charging in a quantum resistor-capacitor circuit
- Confinement versus interface bound states in spin-orbit coupled nanowires
- Exactly solvable Majorana-Anderson impurity models
- A unified numerical approach to semiconductor-superconductor heterostructures
- Band twisting and resilience to disorder in long-range topological superconductors
- Josephson junction arrays as a platform for topological phases of matter
- Superconducting and normal-state anisotropy of the doped topological insulator SrBiSe
- Real-time control of non-Abelian anyons in Kitaev spin liquid under energy dissipation
- Quantum transport in an ambipolar InSb nanowire quantum dot device
- Quantifying the non-Abelian property of Andreev bound states in inhomogeneous Majorana nanowires
- Matrix product state simulations of quantum quenches and transport in Coulomb blockaded superconducting devices
- Coalescence of Andreev bound states on the surface of a chiral topological semimetal
- Coulomb blockade of chiral Majorana and complex fermions far from equilibrium
- A hierarchy in Majorana non-abelian tests and hidden variable models
- Studies of braided non-Abelian anyons using anyonic tensor networks
- Enhanced negative nonlocal conductance in an interacting quantum dot connected to two ferromagnetic leads and one superconducting lead
- Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
- Hidden chiral symmetries in BDI multichannel Kitaev chains
- Confinement-induced zero-bias peaks in conventional superconductor hybrids
- Fermion parity gap and exponential ground state degeneracy of the one-dimensional Fermi gas with intrinsic attractive interaction
- Influence of topological degeneracy on the boundary Berezinskii-Kosterlitz-Thouless quantum phase transition of a dissipative resonant level
- Absence of Quasi-Majorana False Positives in Full-Shell Hybrid Nanowires
- Topological superconductivity and superconducting diode effect mediated via unconventional magnet and Ising spin-orbit coupling
- Majorana modes in graphene strips: polarization, wavefunctions, disorder, and Andreev states
- SWAP gate between a Majorana qubit and a parity-protected superconducting qubit
- Scheme for braiding Majorana zero modes in vortices using an STT-matrix
- Detection of fractional solitons in quantum spin Hall systems
- Andreev molecule in parallel InAs nanowires
- Current cross-correlation spectroscopy of Majorana bound states
- Giant and robust Josephson diode effect in multiband topological nanowires
- Coulomb blockade in open superconducting islands on InAs nanowires
- One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
- Gate-tunable superconductor-semiconductor coupling and its impact on zero-energy modes in PbTe-Pb nanowires
- Scalable Gate-Defined Majorana Fermions in 2D p-Wave Superconductors
- Parity flipping mediated by a quantum dot in Majorana Josephson junctions
- Electronic correlations in magnetized helical edge states coupled to s-wave superconductors
- Electronic transport in double-nanowire superconducting islands with multiple terminals
- Local Control of Supercurrent Density in Epitaxial Planar Josephson Junctions
- Superconducting magnetoelectric effects in mesoscopic hybrid structures
- Cavity Control of Topological Qubits: Fusion Rule, Anyon Braiding, and Majorana-Schrödinger Cat States
- Fate of Majorana zero modes by a modified real-space-Pfaffian method and mobility edges in a one-dimensional quasiperiodic lattice
- Dominant superconducting correlations in a Luttinger liquid induced by spin fluctuations
- Gap Anisotropy in Layered Superconductors Due to Rashba and Dresselhaus Spin-Orbit Interactions
- Monte Carlo studies of modified scalable designs for quantum computation
- Majorana Conductances in Three-Terminal Transports
- Cross-correlation mediated by Majorana island with finite charging energy
- Majorana bound states in the presence of the half-smeared potential
- Floquet first- and higher-order topological superconductors: A review
- Green Function Invariants for Floquet Topological Superconductivity Induced by Proximity Effects
- Gap reopening as a possible signature of coupling between Majorana zero modes in Sn-(Bi,Sb)2(Te,S)3-based Josephson trijunctions
- Evolution of the intertwining correlated topological phases in iron-based superconductor Fe(Te,Se)