Observation of the fractional ac Josephson effect: the signature of Majorana particles

Abstract

Topological superconductors which support Majorana fermions are thought to be realized in one-dimensional semiconducting wires coupled to a superconductor. Such excitations are expected to exhibit non-Abelian statistics and can be used to realize quantum gates that are topologically protected from local sources of decoherence. Here we report the observation of the fractional a.c. Josephson effect in a hybrid semiconductor/superconductor InSb/Nb nanowire junction, a hallmark of topological matter. When the junction is irradiated with a radio-frequency f in the absence of an external magnetic field, quantized voltage steps (Shapiro steps) with a height hf/2e are observed, as is expected for conventional superconductor junctions, where the supercurrent is carried by charge-2e Cooper pairs. At high magnetic fields the height of the first Shapiro step is doubled to hf/e, suggesting that the supercurrent is carried by charge-e quasiparticles. This is a unique signature of Majorana fermions, elusive particles predicted ca. 80 years ago.

the original manuscript submission date is March 20, 2012

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• One-dimensional topological metal
• Spin liquids from Majorana Zero Modes in a Cooper Box
• Majorana Quasi-Particles Protected by ${\mathbb{Z}}_2$ Angular Momentum Conservation
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• Rigorous results on topological superconductivity with particle number conservation
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• Possibility of direct observation of edge Majorana modes in quantum chains
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• Signatures of long-range-correlated disorder in the magnetotransport of ultrathin topological insulators
• Topological Vortex Phase Transitions in Iron-Based Superconductors
• Finite length effect on supercurrents between trivial and topological superconductors
• Transport across a junction of topological insulators and a superconductor
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• Majorana flat band edge modes of topological gapless phase in 2D Kitaev square lattice
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• Chiral Majorana edge states in HgTe quantum wells
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• Optimizing spin-orbit splittings in InSb Majorana nanowires
• Robustness of Topological Superconductivity in Proximity-Coupled Topological Insulator Nanoribbons
• Spin Transfer of Quantum Information between Majorana Modes and a Resonator
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• Entanglement modes and topological phase transitions in superconductors
• Progress in superconductor-semiconductor topological Josephson junctions
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• Majorana-Hubbard model on the honeycomb lattice
• Superconducting order parameter $\pi$-phase shift in magnetic impurity wires
• Exotic Topological Types of Majorana Zero-modes and Their Universal Quantum Manipulation
• Robust interface between flying and topological qubits
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• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• The origin of bias independent conductance plateaus and zero bias conductance peaks in Bi2Se3/NbSe2 hybrid structures
• Tunable planar Josephson junctions driven by time-dependent spin-orbit coupling
• Suspended InAs nanowire Josephson junctions assembled via dielectrophoresis
• $Z_4$ parafermion $\pm \pi /2$ modes in interacting periodically driven superconducting chain
• Topological superconductivity in tripartite superconductor-ferromagnet-semiconductor nanowires
• Dissipative preparation of many-body Floquet Chern insulators
• Irrational Non-Abelian Statistics for Non-Hermitian Generalization of Majorana Zero Modes
• Hybrid Topological Quantum Computation with Majorana Fermions: A Cold Atom Setup
• Photonic implementation of Majorana-based Berry phases
• Detecting the Exchange Phase of Majorana Bound States in a Corbino Geometry Topological Josephson Junction
• Quench Dynamics of Josephson Current in a Topological Josephson Junction
• Zero-bias crossings and peculiar Shapiro maps in graphene Josephson junctions
• Dynamics of hybrid junctions of Majorana wires
• Impurity-induced states in superconducting heterostructures
• Detecting Majorana nonlocality using strongly coupled Majorana bound states
• Probing vortex Majorana fermions and topology in semiconductor-superconductor heterostructures
• Chiral Majorana Hinge Modes in Superconducting Dirac Materials
• Topological superfluidity of lattice fermions inside a Bose-Einstein condensate
• Doubled Shapiro Steps in a Topological Josephson Junction
• Surface Bogoliubov-Dirac cones and helical Majorana hinge modes in superconducting Dirac semimetals
• Control and detection of Majorana bound states in quantum dot arrays
• Enhanced current noise correlations in a Coulomb-Majorana device
• Majorana fermion from Landau quantization in 2D topological superconductors
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Critical phase boundaries of static and periodically kicked long-range Kitaev chain
• $\text{Draiding}$ majoranas to dynamically engineer Hamiltonians
• Even-odd parity effects in Majorana junctions
• Revisit the non-locality of Majorana zero modes and teleportation: Bogoliubov-de Gennes equation based treatment
• Absence of supercurrent sign reversal in a topological junction with a quantum dot
• Conductance interference in a superconducting Coulomb blockaded Majorana ring
• Realizing Topological Superconductivity with Superlattices
• Topological edge Mott insulating state in two dimensions at finite temperatures -bulk and edge analysis-
• Designing Nanomagnet Arrays for Topological Nanowires in Si
• Dissipation in a topological Josephson junction
• Majorana Entanglement Bridge
• Characterization of Shapiro steps in the presence of a 4π-periodic Josephson current
• Efficient method to compute ${\mathbb{Z}}_4$-indices with glide symmetry and applications to Möbius materials, $\mathrm{CeNiSn}$ and $\mathrm{UCoGe}$
• Electron spin rotations induced by oscillating Rashba interaction in a quantum wire
• Majorana fermion fingerprints in spin-polarised scanning tunneling microscopy
• Possible realization of a chiral p-wave paired state in a two component system
• Viewing Majorana Bound States by Rabi Oscillations
• Josephson junction detectors for Majorana modes and Dirac fermions
• Strain induced topological phase transition at zigzag edges of monolayer transition-metal dichalcogenides
• Parafermionic generalization of the topological Kondo effect
• Gate defined wires in HgTe quantum wells: from Majorana fermions to spintronics
• Quasiparticle poisoning effects on the dynamics of topological Josephson junctions
• Magnetic field effects on a nanowire with inhomogeneous Rashba spin-orbit coupling: Spin properties at equilibrium
• Majorana zero modes in gate-defined germanium hole nanowires
• Chirality-Protected Majorana Zero Modes at the Gapless Edge of Abelian Quantum Hall States
• Majorana-like localized spin density without bound states in topologically trivial spin-orbit coupled nanowires
• From Topological Superconductivity to Quantum Hall States in Coupled Wires
• Generating end modes in a superconducting wire by periodic driving of the hopping
• Majorana modes and complex band structure of quantum wires
• Diabatic errors in Majorana braiding with bosonic bath
• Topological $\pi$-junctions from crossed Andreev reflection in the Quantum Hall regime
• Topological superconductivity in EuS/Au/superconductor heterostructures
• Topological Kondo Device for distinguishing Quasi-Majorana and Majorana signatures
• Time-reversal invariant topological superfluids in Bose-Fermi mixtures
• Feasibility of measurement-based braiding in the quasi-Majorana regime of semiconductor-superconductor heterostructures
• Dynamical generation of Majorana edge correlations in a ramped Kitaev chain coupled to nonthermal dissipative channels
• Enhanced topological protection in planar quasi-one-dimensional channels with periodically-modulated width
• Multichannel charge Kondo effect and non-Fermi liquid fixed points in conventional and topological superconductor islands
• Detecting coupling of Majorana bound states with an Aharonov-Bohm interferometer
• Engineering anomalous Floquet Majorana modes and their time evolution in helical Shiba chain
• Signatures of Majorana fermions in hybrid normal-superconducting rings
• Signatures of Majorana Fermions in Topological Insulator Josephson Junction Devices
• Dirac-Fermion-Assisted Interfacial Superconductivity in Epitaxial Topological Insulator/Iron Chalcogenide Heterostructures
• Adiabatic quantum pumping of chiral Majorana fermions
• Temporal variation in the winding number due to dynamical symmetry breaking and associated transport in a driven SSH chain
• Probing Majorana-like states in quantum dots and quantum rings
• Hall conductivity as bulk signature of topological transitions in superconductors
• Broadband architecture for galvanically accessible superconducting microwave resonators
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Experimental review on Majorana zero-modes in hybrid nanowires
• Topological superconductivity in Quantum Hall-superconductor hybrid systems
• Tunable spin/charge Kondo effect at a double superconducting island connected to two spinless quantum wires
• Probing dynamics of Majorana fermions in quantum impurity systems
• Topological and quantum critical properties of the interacting Majorana chain model
• Tunneling conductance for Majorana fermions in spin-orbit coupled semiconductor-superconductor heterostructures using superconducting leads
• Substrate-induced Majorana renormalization in topological nanowires
• Magnetization induced dynamics of a Josephson junction coupled to a nanomagnet
• Probing Majorana and Andreev Bound States with Waiting Times
• Equal-Spin Andreev Reflection in Junctions of Spin-Resolved Quantum Hall Bulk State and Spin-Singlet Superconductor
• Kitaev chain with a quantum dot
• Dominant $s$-wave superconducting gap in PdTe${}_2$ observed by tunneling spectroscopy on side-junctions
• Majorana corner states on the dice lattice
• Sublattice-sensitive Majorana Modes
• Topological footprints of the 1D Kitaev chain with long range superconducting pairings at a finite temperature
• Tricritical Ising phase transition in two-ladder Majorana fermion lattice
• Optimal noise-canceling shortcuts to adiabaticity: application to noisy Majorana-based gates
• Connection between zero-energy Yu-Shiba-Rusinov states and 0-$\pi$ transitions in magnetic Josephson junctions
• Fingerprints of Majorana fermions in spin-resolved subgap spectroscopy
• Probing chiral edge states in topological superconductors through spin-polarized local density of state measurements
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Probing Majorana bound states via counting statistics of a single electron transistor
• Vortex Lattice Structure and Topological Superconductivity in the Quantum Hall Regime
• Parafermionic zero modes in ultracold bosonic systems
• One-dimensional itinerant interacting non-Abelian anyons
• Energy spectrum and current-phase relation of a nanowire Josephson junction close to the topological transition
• Evolution of $4\pi$-periodic Supercurrent in the Presence of In-plane Magnetic Field
• Transport in a hybrid normal-topological superconductor Kondo model
• A ballistic quantum ring Josephson interferometer
• Anomalous modulation of Josephson radiation in nanowire-based Josephson junctions
• Measurement-only topological quantum computation without forced measurements
• Dynamical preparation of a topological state and out of equilibrium bulk boundary correspondence in a SSH chain under periodic driving
• Superconducting proximity effect in semiconductor nanowires
• Conductance quantization in topological Josephson trijunctions
• Helical Majorana edge mode in a superconducting antiferromagnetic quantum spin Hall insulator
• Transport in spinless superconducting wires
• Thermal conductance as a probe of the non-local order parameter for a topological superconductor with gauge fluctuations
• Mesoscopic transport in electrostatically-defined spin-full channels in quantum Hall ferromagnets
• Superconducting proximity effect in topological metals
• Probing Topological Superconductivity of oxide nanojunctions using fractional Shapiro steps
• Nonequilibrium electrical, thermal and spin transport in open quantum systems of topological superconductors, semiconductors and metals
• Microwave studies of the fractional Josephson effect in HgTe-based Josephson junctions
• Helical gaps in interacting Rashba wires at low electron densities
• Phase-sensitive SQUIDs based on the 3D topological insulator HgTe
• Exactly solving the Kitaev chain and generating Majorana-zero-modes out of noisy qubits
• Machine learning optimization of Majorana hybrid nanowires
• Certified Quantum Measurement of Majorana Fermions
• Quasiparticle trapping at vortices producing Josephson supercurrent enhancement
• Charge transport of a spin-orbit-coupled Luttinger liquid
• Protocol for reading out Majorana vortex qubit and testing non-Abelian statistics
• Magnetic anisotropy of critical current in nanowire Josephson junction with spin-orbit interaction
• Scalable Fermionic Error Correction in Majorana Surface Codes
• Majorana fermions coupled to electromagnetic radiation
• Phase-dependent heat transport in Josephson junctions with p-wave superconductors and superfluids
• Topological superconductivity in Fibonacci quasicrystals
• Effects of finite superconducting coherence lengths and of phase gradients in topological SN and SNS junctions and rings
• Chiral $p$-wave superconductivity in a twisted array of proximitized quantum wires
• Fractional Josephson effect in a quadruple quantum dot
• Entanglement entropy and entanglement spectrum of triplet topological superconductors
• Asymmetric skyrmion-antiskyrmion production in ultrathin ferromagnetic films
• Fermion-Parity-Based Computation and its Majorana-Zero-Mode Implementation
• Reentrant topological transitions with Majorana end states in 1D superconductors by lattice modulation
• Majorana zero modes and their bosonization
• 1D Majorana Goldstinos and partial supersymmetry breaking in quantum wires
• Characterizations of topological superconductors: Chern numbers, edge states and Majorana zero modes
• Effects of Gapless Bosonic Fluctuations on Majorana Fermions in Atomic Wire Coupled to a Molecular Reservoir
• Kapitsa pendulum effects in Josephson junction + nanomagnet under external periodic drive
• Quasiperiodic disorder induced critical phases in a periodically driven dimerized $p$-wave Kitaev chain
• Compressibility as a probe of quantum phase transitions in topological superconductors
• Magnetic manipulation of topological states in p-wave superconductors
• Finite-temperature conductance of weakly interacting quantum wires with Rashba spin-orbit coupling
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Supersymmetry in Closed Chains of Coupled Majorana Modes
• Electrostatical formation of the Majorana quasiparticles in the quantum dot--nanoring structure
• Ising anyonic topological phase of interacting Fermions in one dimension
• Zero Bias Conductance Peak in Dirac Semimetal-Superconductor Devices
• Topological superconductivity in Landau levels
• Identify the topological superconducting order in a multi-band quantum wire
• Tomography of zero-energy end modes in topological superconducting wires
• Fractional AC Josephson effect in a topological insulator proximitized by a self-formed superconductor
• Supersymmetry in the Insulating Phase of a Chain of Majorana Cooper Pair Boxes
• Coexistence of Strong and Weak Majorana Zero Modes in Anisotropic XY Spin Chain with Second-Neighbor Interaction
• Tunnel spectroscopy of Majorana bound states in topological superconductor-quantum dot Josephson junctions
• Aharonov-Bohm interference as a probe of Majorana fermions
• Fractional Chern insulator edges and layer-resolved lattice contacts
• Majorana bound states in nanowire-superconductor hybrid systems in periodic magnetic fields
• Phase space methods for Majorana fermions
• Macroscopic Quantum Tunneling in Superconducting Junctions of β-Ag${}_2$Se Topological Insulator Nanowire
• Disorder-generated non-Abelions
• Majorana orthogonal transformation and Majorana zero modes in free fermionic systems
• 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
• Meissner effect induced Majorana zero modes at small magnetic field
• Majorana fermions in quasi-1D and higher dimensional ultracold fermionic optical lattices
• Skyrmion spin texture in ferromagnetic semiconductor-superconductor heterostructures
• Absence of Aharonov-Bohm effect of chiral Majorana fermion edge states
• Type-I and type-II topological nodal superconductors with $s$-wave interaction
• Transport signatures in topological systems coupled to AC fields
• Nuclear Spin Relaxation in Rashba Nanowires
• An experimental proposal to observe non-abelian statistics of Majorana-Shockley fermions in an optical lattice
• The influence of the Majorana non-locality on the supercurrent
• Majorana states and devices in magnetic structures
• Majorana-induced DC Shapiro steps in topological Josephson junctions
• Helical Majorana fermions at the interface of Weyl semimetal and d-wave superconductor: Application to Iridates and high-Tc Cuprates
• Revealing Majorana Fermion states in a superfluid of cold atoms subject to a harmonic potential
• Supercurrent, Multiple Andreev Reflections and Shapiro Steps in InAs Nanosheet Josephson Junctions
• Eight-vertex criticality in the interacting Kitaev chain
• Period-doubling in the phase dynamics of a shunted HgTe quantum well Josephson junction
• Electrostatic control of quantum Hall ferromagnetic transition, a step toward reconfigurable network of helical channels
• Vortex pinning by the point potential in topological superconductors: a scheme for braiding Majorana bound states
• NMR Response of Nuclear Spin Helix in Quantum Wires with Hyperfine and Spin-Orbit Interaction
• Nodal S-wave Superconductivity in Antiferromagnetic Semimetals
• Josephson junctions of 2D time-reversal invariant superconductors: signatures of the topological phase
• Topological quantum phase transitions and edge states in spin-orbital coupled Fermi gases
• Continuous error correction for Ising anyons
• Orbital angular momentum in a nonchiral topological superconductor
• Two-impurity helical Majorana problem
• $8\pi$-periodic dissipationless ac Josephson effect on a quantum spin-Hall edge via a Quantum magnetic impurity
• Anomalous Phase Dynamics of Driven Graphene Josephson Junctions
• Simulating artificial one-dimensional physics with ultra-cold fermionic atoms: three exemplary themes
• Evidence for a New Excitation at the Interface Between a High-Tc Superconductor and a Topological Insulator
• Room Temperature Quantum Coherent Revival in an Ensemble of Artificial Atoms
• Statistics tuned entanglement of the boundary modes in coupled Su-Schrieffer-Heeger chains
• Unitary Symmetry-Protected Non-Abelian Statistics of Majorana Modes
• Magnetic Field Inducing Zeeman Splitting and Anomalous Conductance Reduction of Half-integer Quantized Plateaus in InAs Quantum Wires
• Majorana versus Andreev bound state energy oscillations in a 1D semiconductor-superconductor heterostructure
• Fractional Josephson Effect: A Missing Step Is A Key Step
• Quantum transport in coupled Majorana box systems
• Reveal the non-local coherent nature from a dissipative Majorana teleportation
• Strain manipulation of Majorana fermions in graphene armchair nanoribbons
• The invisible Majorana bound state at the helical edge
• Thermodynamics in topological Josephson junctions
• Multi-level effects in quantum-dot based parity-to-charge conversion of Majorana box qubits
• Spin triplet superconducting pairing in doped MoS${}_2$
• Electron-Tunneling-Assisted Non-Abelian Braiding of Rotating Majorana Bound States
• Visibility of noisy quantum dot-based measurements of Majorana qubits
• Hidden Symmetry Decoupling of Majorana Fermions
• Demonstrating Entanglement by Testing Bell's Theorem in Majorana Wires
• Exceptional points and non-Hermitian skin effects under nonlinearity of eigenvalues
• Superconducting-contact-induced resistance-anomalies in the 3D topological insulator Bi2Te3
• Dual topological superconducting states in the layered titanium-based oxypnictide superconductor BaTi${}_2$Sb${}_2$O
• Delocalisation of Majorana quasiparticles in plaquette--nanowire hybrid system
• Majorana fermions in topological insulator nanowires: from single superconducting nanowires to Josephson junctions
• Germanium-based hybrid semiconductor-superconductor topological quantum computing platforms: Disorder effects
• Fermion Parity Flips and Majorana Bound States at twist defects in Superconducting Fractional Topological Phases
• Phase-Controllable Nonlocal Spin Polarization in Proximitized Nanowires
• Coalescing Majorana edge modes in non-Hermitian PT-symmetric Kitaev chain
• Josephson radiation from nonlinear dynamics of Majorana zero modes
• Transport signatures of topological phases in double nanowires probed by spin-polarized STM
• Driving Topological Phases by Spatially Inhomogeneous Pairing Centers
• Hard-gap spectroscopy in a self-defined mesoscopic InAs/Al nanowire Josephson junction
• Evolution of the transmission phase through a Coulomb-blockaded Majorana wire
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Effective models of doped quantum ladders of non-Abelian anyons
• Restoration of topological properties at finite temperatures in a heavy-fermion system
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Chiral current-phase relation of topological Josephson junctions: A signature of the $4\pi$-periodic Josephson effect
• Fidelity in topological superconductors with end Majorana fermions
• Disorder-induced subgap states and Majorana zero-energy edge modes in two-dimensional topological insulator-superconductor hybrid structures
• Unitary preparation of many body Chern insulators: Adiabatic bulk boundary correspondence
• Majorana phi0 Junction in a Disordered Spin-orbit Coupling Nanowire with Tilted Magnetic Field
• Floquet Majorana Fermions in superconducting quantum dots
• Majorana fermions in the nonuniform Ising-Kitaev chain: exact solution
• AC Josephson effect in a gate-tunable Cd${}_3$As${}_2$ nanowire superconducting weak link
• Multiple Andreev reflections in topological insulator nanoribbons
• Measuring Majorana fermions qubit state and non-Abelian braiding statistics in quenched inhomogeneous spin ladders
• Interaction proximity effect at the interface between a superconductor and a topological insulator quantum well
• Emergence of intrinsic superconductivity below 1.178 K in the topologically non-trivial semimetal state of CaSn3
• Soliton defects and topological $4\pi$-periodic superconductivity from an orbital magnetic field effect in edge Josephson junctions
• Revisiting 2-pi phase slip suppression in topological Josephson junctions
• Josephson-Majorana cycle in topological single-electron hybrid transistors
• Quantum Criticality in Resonant Andreev Conduction
• Nonequilibrium Andreev bound states population in short superconducting junctions coupled to a resonator
• Fano resonances can provide two criteria to distinguish Majorana bound states from other candidates in experiments
• Protected gap closing in Josephson junctions constructed on Bi${}_2$Te${}_3$ surface
• Transport across a system with three p-wave superconducting wires: effects of Majorana modes and interactions
• Dependence of the maximal superconducting current on resonance frequency in shunted Josephson junction
• Insulating regime of an underdamped current-biased Josephson junction supporting ${\mathbb{Z}}_3$ and ${\mathbb{Z}}_4$ parafermions
• Quantum gates by periodic driving
• Majorana zero-modes in a dissipative Rashba nanowire
• Vortex control in superconducting Corbino geometry networks
• Readout of Majorana bound states via Landau-Zener transition
• Subgap states in semiconductor-superconductor devices for quantum technologies: Andreev qubits and minimal Majorana chains
• Fraunhofer pattern in the presence of Majorana zero modes
• Complete criterion for convex-Gaussian state detection
• Quantum charge pumping through Majorana bound states
• Entangled states of two quantum dots mediated by Majorana fermions
• Majorana Zero Modes in Cylindrical Semiconductor Quantum Wire
• Nonadiabatic charge pumping across two superconductors connected through a normal metal region by periodically driven potentials
• Full counting statistics of Majorana interferometers
• Majorana Zero Modes in Semiconductor Nanowires in Contact with Higher-$T_c$ Superconductors
• Majorana modes in smooth normal-superconductor nanowire junctions
• Engineering topological superconductors using surface atomic-layer/molecule hybrid materials
• Unusual Superconducting Proximity Effect in Magnetically Doped Topological Josephson Junctions
• Majorana fermions in charge carrier hole quantum wires
• Phonon-induced Majorana Qubit Relaxation in Tunnel-Coupled Two-Island Topological Superconductors
• Effect of Magnetic Field and Rashba Spin-Orbit Interaction on the Josephson Tunneling between Superconducting Nanowires
• Josephson current signature of Floquet Majorana and topological accidental zero modes in altermagnet heterostructures
• Transition from Majorana to Weyl fermions and anapole moments
• A topological flux trap: Majorana bound states at screw dislocations
• Unveiling a crystalline topological insulator in a Weyl semimetal with time-reversal symmetry
• Beyond the standard model of topological Josephson junctions: From crystalline anisotropy to finite-size and diode effects
• Reentrant Topological Phase Transition in a Bridging Model between Kitaev and Haldane Chains
• Probing nonlocality of Majorana fermions in Josephson junctions of Kitaev chains connected to normal metal leads
• Implementation of single-qubit gates via parametric modulation in the Majorana transmon
• Probing Majorana bound states via a pn-junction containing a quantum dot
• Zero-dimensional topologically nontrivial state in a superconducting quantum dot
• Fractionalized time reversal, parity and charge conjugation symmetry in topological superconductor: a possible origin of three generations of neutrinos and mass mixing
• Topological Josephson Bifurcation Amplifier: Semiclassical theory
• Electrically controlled crossover between $2\pi$- and $4\pi$-Josephson effects through topologically-confined channels in silicene
• Chiral detection of Majorana bound states at the edge of a quantum spin Hall insulator
• Critical Current Anomaly at the Topological Quantum Phase Transition in a Majorana Josephson Junction
• Transport theory for topological Josephson junctions with a Majorana qubit
• Universal properties of anyon braiding on one-dimensional wire networks
• A particle conserving approach to AC-DC driven interacting quantum dots with superconducting leads
• Tunneling Spectroscopy of a Spiral Luttinger Liquid in Contact with Superconductors
• Model for missing Shapiro steps due to bias-dependent resistance
• Thermomodulated intrinsic Josephson effect in Kagome CsV3Sb5
• Universal Quantum Computation With Majorana Fermion Edge Modes Through Microwave Spectroscopy Of Quasi-1D Cold Gases In Optical Lattices
• Critical properties of the Majorana chain with competing interactions
• Edge supercurrent in Josephson junctions based on topological materials
• Triplet $p$-wave pairing correlation in low doped zigzag graphene nanoribbons
• Majorana fermions in semiconductor nanostructures with two wires connected through ring
• Charge-impurity-induced Majorana fermions in topological superconductors
• 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
• Subgap states at ferromagnetic and spiral-ordered magnetic chains in two-dimensional superconductors. I. Continuum description
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
• All-electrical spectroscopy of topological phases in semiconductor-superconductor heterostructures
• Photonic cross-noise spectroscopy of Majorana bound states
• Missing odd-order Shapiro steps do not uniquely indicate fractional Josephson effect
• Perfect Zitterbewegung oscillations in the Kitaev chain system
• Stabilizing topological superconductivity in disordered spin-orbit coupled semiconductor-superconductor heterostructures
• Signatures of tunable Majorana-fermion edge states
• 1D topological chains with Majorana fermions in 2D non-topological optical lattices
• Challenges in detecting topological superconducting transitions via supercurrent and phase probes in planar Josephson junctions
• Topologically Induced Fermion Parity Flips in Superconductor Vortices
• Lifshitz transitions and Weyl semimetals from a topological superconductor with supercurrent flow
• Non-equilibrium $8\pi$ Josephson Effect in Atomic Kitaev Wires
• The Dirac paradox in 1+1 dimensions and its realization with spin-orbit coupled nanowires
• Bath-induced decoherence in finite-size Majorana wires at non-zero temperature
• All-electrically reading out and initializing topological qubits with quantum dots
• Superconductor/normal-metal/superconductor junction of topological superconductors revisited: Fractional Josephson current, fermion parity, and oscillating wavefunctions
• Multiplet Supercurrents in a Josephson Circuit
• Mimicking black hole event horizons in atomic and solid-state systems
• Topological Transitions in a Model for Proximity Induced Superconductivity
• Tunable Majorana corner states driven by superconducting phase bias in a vertical Josephson junction
• The Simulation of Non-Abelian Statistics of Majorana Fermions in Ising Chain with Z2 Symmetry
• In the Pursuit of Majorana Modes in Iron-based High-$T_c$ Superconductors
• Quantum oscillations in a hexagonal boron nitride-supported single crystalline InSb nanosheet
• Moiré dispersion of edge states in spin chains on superconductors
• Critical region of topological trivial and nontrivial phases in interacting Kitaev chain with spatially varying potentials
• Optimal Conditions for Observing Fractional Josephson Effect in Topological Josephson Junctions
• Detecting competing orders through the edge states in the heterostructures with high-Tc superconductors
• Reduction of $\mathbb{Z}$ classification of a two-dimensional weak topological insulator - real-space DMFT study -
• Topological quantum phase transitions in a Majorana chain with spatial modulation
• Spin filtering in nanowire directional coupler
• Maximal distant entanglement in Kitaev tube
• Spin-orbit coupling in quasi-one-dimensional Wigner crystals
• Distinguishing Majorana bound states and Andreev bound states with microwave spectra
• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
• Two-dimensional Paired Topological Superfluids of Rydberg Fermi Gases
• 4$\pi$ and 8$\pi$ dual Josephson effects induced by symmetry defects
• Complex-band-structure eigenvalue method adapted to Floquet systems: topological superconducting wires as a case study
• Experimental realization of Majorana hinge and corner modes in intrinsic organic topological superconductor without magnetic field at room temperature
• A Study of Topological Quantum Phase Transition and Majorana Localization Length for the Interacting Helical Liquid System
• Coherent charge and spin oscillations induced by local quenches in nanowires with spin-orbit coupling
• Electron transport in quantum channels with spin-orbit interaction: Effects of the sign of the Rashba coupling and applications to nanowires
• Majorana Fermions Under Uniaxial Stress in Semiconductor-Superconductor Heterostructures
• Superconducting spin properties of Majorana nanowires and the associated superconducting anomalous Hall effect
• Photoemission Spectroscopic Evidence of Multiple Dirac Cones in Superconducting BaSn${}_3$
• Superconducting triangular islands as a platform for manipulating Majorana zero modes
• Universal Current Correlations Induced by the Majorana and Fermionic Andreev Bound States
• Low-field electron mobility of InSb nanowires: Numerical efforts to larger cross sections
• Simultaneous Resonant and Broadband Detection of Ultralight Dark Matter and High-Frequency Gravitational Waves via Cavities and Circuits
• From Majorana fermions to topological quantum computation in semiconductor/superconductor heterostructures
• Kinetic stabilization of 1D surface states near twin boundaries in noncentrosymmetric BiPd
• Robustness of Topological Order in Semiconductor-Superconductor Nanowires in the Coulomb Blockade Regime
• Confinement versus interface bound states in spin-orbit coupled nanowires
• Andreev reflection and bound state formation in a ballistic two-dimensional electron gas probed by a quantum point contact
• Spin-helical detection in a semiconductor quantum device with ferromagnetic contacts
• Superconductor Vortex Spectrum Including Fermi Arc States in Time-Reversal Symmetric Weyl Semimetals
• Majorana Bound States hallmark in a quantum topological interferometer ring
• Tuning spin orbit interaction in high quality gate-defined InAs one-dimensional channels
• Moiré-enabled topological superconductivity
• Deterministic topological quantum gates for Majorana qubits without ancillary modes
• Time-dependent driving and topological protection in the fractional Josephson effect
• Generalized Majorana edge modes in a number-conserving periodically driven $p$-wave superconductor
• Embedded Majorana Islands
• Majorana edge states and topological properties in 1D/2D Rashba semiconductor proximity coupled to iron-based superconductor
• Majorana Fermions in Semiconducting Nanowires on the Top of Fulde-Ferrell Superconductor
• Majorana polarization in disordered heterostructures
• Shuttling Majorana zero modes in disordered and noisy topological superconductors
• Optical conductivity of the Majorana mode at the s- and d-wave topological superconductor edge
• Non-Abelian operation through scattering between chiral Dirac edge modes
• Proposal for a scalable charging-energy-protected topological qubit in a quantum spin Hall system
• Effects of Majorana bound states on dissipation and charging in a quantum resistor-capacitor circuit
• Experimental evidence for topological phases in the magnetoconductance of 2DEG-based hybrid junctions
• Band twisting and resilience to disorder in long-range topological superconductors
• A unified numerical approach to semiconductor-superconductor heterostructures
• Unified scattering approach to Josephson current and thermal noise in BCS and topological superconducting junctions
• Optical absorption of semiconductor 2D Majorana nanowires
• Probing Majorana fermions in the tunneling spectra of a resonant level
• Spectrum of localized states in fermionic chains with defect and adiabatic charge pumping
• Fermion parity gap and exponential ground state degeneracy of the one-dimensional Fermi gas with intrinsic attractive interaction
• Detecting Majorana modes through Josephson junction ring-quantum dot hybrid architectures
• Control of Majorana Edge Modes by a g-factor Engineered Nanowire Spin Transistor
• Fermi arc criterion for surface Majorana modes in superconducting time-reversal symmetric Weyl semimetals
• Memory-Critical Dynamical Buildup of Phonon-Dressed Majorana Fermions
• Probing time reversal symmetry breaking topological superconductivity in twisted double layer copper oxides with polar Kerr effect
• Polarization Controlled Supercurrent in Ferroelectric Josephson Junction
• Unveiling Topological Hinge States in the Higher-Order Topological Insulator WTe${}_2$ Based on the Fractional Josephson Effect
• Confinement-induced Majorana modes in a nodal topological superconductor
• 'Majorana mass' fermions as untrue Majorana particles, rather endowed with pseudoscalar-type charges than genuinely neutral
• Quantum-vacuum-protected topological edge polaritons
• Tuning the topology of $p$-wave superconductivity in an analytically solvable two-band model
• Measuring the Spin Polarization of a Ferromagnet: an Application of Time-Reversal Invariant Topological Superconductor
• Robust Majorana bound state in pseudo-spin domain wall of 2-D topological insulator
• Ubiquitous missing first Shapiro step in Al-InSb nanosheet Josephson junctions
• Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
• Majorana Fermions in Topological Superconducting Metallic Nanowires probed by a Superconducting Condensate
• Floquet Gauge Pumps as Sensors for Spectral Degeneracies Protected by Symmetry or Topology
• Josephson radiation patterns in underdamped topological Josephson junctions
• Tunneling Magnetoresistance in Junctions Composed of Ferromagnets and Time-Reversal Invariant Topological Superconductors
• Anderson localization of a Majorana fermion
• Quantum Degenerate Majorana Surface Zero Modes in Two-Dimensional Space
• Explicit forms of zero modes in symmetric interacting Kitaev chain without and with dimerization
• Topological Quantum Infidelity
• Majorana edge and end states in planar Josephson junctions
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Signatures of Topological Transitions in the Spin Susceptibility of Josephson Junctions
• Monolayer graphene panorama, Majorana modes and Longitudinal conductivity
• Topological Fulde-Ferrell and Larkin-Ovchinnikov states in spin-orbit coupled lattice system
• Majorana bound states with chiral magnetic textures
• Electron density and compressibility in the Kitaev model with a spatially modulated Phase in the superconducting pairing
• Limits of Thermal Conductance Quantization in Chiral Topological Josephson Junctions
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Topological superconductivity and superconducting diode effect mediated via unconventional magnet and Ising spin-orbit coupling
• Geometric Phases in Majorana Zero-Energy State
• Theoretical elucidation of possibility of Majorana modes in a two dimensional Dirac system
• Parity flipping mediated by a quantum dot in Majorana Josephson junctions
• Majorana modes in graphene strips: polarization, wavefunctions, disorder, and Andreev states
• Current cross-correlation spectroscopy of Majorana bound states
• Gap reopening as a possible signature of coupling between Majorana zero modes in Sn-(Bi,Sb)2(Te,S)3-based Josephson trijunctions
• Classification of Majorana Fermions in Two-Dimensional Topological Superconductors
• Fractional spin Josephson effect in topological spin superconductors