Dynamical detection of Majorana fermions in current-biased nanowires

Abstract

We analyze the current-biased Shapiro experiment in a Josephson junction formed by two one-dimensional nanowires featuring Majorana fermions. Ideally, these junctions are predicted to have an unconventional $4\pi$-periodic Josephson effect and thus only Shapiro steps at even multiples of the driving frequency. Taking additionally into account overlap between the Majorana fermions, due to the finite length of the wire, renders the Josephson junction conventional for any dc-experiments. We show that probing the current-phase relation in a current biased setup dynamically decouples the Majorana fermions. We find that besides the even integer Shapiro steps there are additional steps at odd and fractional values. However, different from the voltage biased case, the even steps dominate for a wide range of parameters even in the case of multiple modes thus giving a clear experimental signature of the presence of Majorana fermions.

5+10pages, 5+8 Figures, published in PRB (rapid)

References in corpus (13)

• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• New directions in the pursuit of Majorana fermions in solid state systems
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Observing Majorana Bound States in p-wave Superconductors Using Noise Measurements in Tunneling Experiments
• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• Coulomb stability of the 4π-periodic Josephson effect of Majorana fermions
• Measurements of Quasiparticle Tunneling Dynamics in a Bandgap-Engineered Transmon Qubit
• Phenomenology and Dynamics of Majorana Josephson Junction

Cited by in corpus (111)

• Search for Majorana fermions in superconductors
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Spin-polarized supercurrents for spintronics: a review of current progress
• From Andreev to Majorana bound states in hybrid superconductor-semiconductor nanowires
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• Gapless Andreev bound states in the quantum spin Hall insulator HgTe
• Edge-mode Superconductivity in a Two Dimensional Topological Insulator
• Majorana Kramers pairs in higher-order topological insulators
• Josephson radiation from gapless Andreev bound states in HgTe-based topological junctions
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Fermion-parity anomaly of the critical supercurrent in the quantum spin-Hall effect
• Decaying spectral oscillations in a Majorana wire with finite coherence length
• Majorana nanowires for topological quantum computation
• Dynamics of Majorana States in a Topological Josephson Junction
• Multiple Andreev reflection and critical current in topological superconducting nanowire junctions
• $4\pi$ periodic Andreev bound states in a Dirac semimetal
• Metallization of Rashba wire by superconducting layer in the strong-proximity regime
• Phenomenology and Dynamics of Majorana Josephson Junction
• Thermoelectrical detection of Majorana states
• Floquet engineering of long-range p-wave superconductivity
• Missing Shapiro steps in topologically trivial Josephson Junction on InAs quantum well
• Josephson junction dynamics in the presence of $2\pi$- and $4\pi$-periodic supercurrents
• Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
• Ac Josephson Effect in Topological Josephson Junctions
• Topological Phase Detection in Rashba Nanowires with a Quantum Dot
• Majorana bound states in semiconducting nanostructures
• Parity protected superconducting diode effect in topological Josephson junctions
• Joule overheating poisons the fractional ac Josephson effect in topological Josephson junctions
• Majorana Kramers pairs in Rashba double nanowires with interactions and disorder
• Classification of engineered topological superconductors
• Microwave spectroscopy of Josephson junctions in topological superconductors
• Signatures of a 4$\pi$-periodic supercurrent in the voltage response of capacitively shunted topological Josephson junctions
• Interplay Between Electron Over-Heating and ac Josephson Effect
• Topological pi Josephson junction in superconducting Rashba wires
• Detecting topological superconductivity using low-frequency doubled Shapiro steps
• A proposal to probe quantum non-locality of Majorana fermions in tunneling experiments
• Suppression of the overlap between Majorana fermions by orbital magnetic effects in semiconducting-superconducting nanowires
• Proximity-induced superconductivity in (Bi${}_{1-x}$Sb${}_x$)${}_2$Te${}_3$ topological-insulator nanowires
• Josephson effect in superconducting wires supporting multiple Majorana edge states
• Lifetime of Majorana qubits in Rashba nanowires with non-uniform chemical potential
• Fractional Josephson Effect in Number-Conserving Systems
• DIII Topological Superconductivity with Emergent Time-Reversal Symmetry
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Entangling Spins in Double Quantum Dots and Majorana Bound States
• 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
• Microwave readout of Majorana qubits
• Finite length effect on supercurrents between trivial and topological superconductors
• Magneto-Josephson effects and Majorana bound states in quantum wires
• Missing Shapiro steps and the $8\pi$-periodic Josephson effect in interacting helical electron systems
• Topological insulator nanoribbon Josephson junctions: evidence for size effect in transport properties
• Prevalence of trivial zero-energy sub-gap states in non-uniform helical spin chains on the surface of superconductors
• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Quench Dynamics of Josephson Current in a Topological Josephson Junction
• Transport signatures of Majorana bound states in superconducting hybrid structures
• Doubled Shapiro Steps in a Topological Josephson Junction
• Josephson junction detectors for Majorana modes and Dirac fermions
• Quasiparticle poisoning effects on the dynamics of topological Josephson junctions
• Characterization of Shapiro steps in the presence of a 4π-periodic Josephson current
• Hysteresis from nonlinear dynamics of Majorana modes in topological Josephson junctions
• Viewing Majorana Bound States by Rabi Oscillations
• Thermal signature of Majorana fermions in Josephson junction
• Signatures of the Majorana spin in electrical transport through a Majorana nanowire
• Magnetization induced dynamics of a Josephson junction coupled to a nanomagnet
• Renormalization of quantum dot $g$-factor in superconducting Rashba nanowires
• Microwave studies of the fractional Josephson effect in HgTe-based Josephson junctions
• Phase-sensitive SQUIDs based on the 3D topological insulator HgTe
• Evolution of $4\pi$-periodic Supercurrent in the Presence of In-plane Magnetic Field
• Quasiparticle trapping at vortices producing Josephson supercurrent enhancement
• Majorana fermions coupled to electromagnetic radiation
• Fractional Josephson effect in a quadruple quantum dot
• Fractional AC Josephson effect in a topological insulator proximitized by a self-formed superconductor
• Period-doubling in the phase dynamics of a shunted HgTe quantum well Josephson junction
• The influence of the Majorana non-locality on the supercurrent
• Stationary Josephson effect in a short multi-terminal junction
• Thermodynamics in topological Josephson junctions
• Boosting Transparency in Topological Josephson Junctions via Stencil Lithography
• Josephson radiation from nonlinear dynamics of Majorana zero modes
• Accurate determination of the Josephson critical current by lock-in measurements
• Chiral current-phase relation of topological Josephson junctions: A signature of the $4\pi$-periodic Josephson effect
• AC Josephson effect in a gate-tunable Cd${}_3$As${}_2$ nanowire superconducting weak link
• Soliton defects and topological $4\pi$-periodic superconductivity from an orbital magnetic field effect in edge Josephson junctions
• Floquet Majorana Fermions in superconducting quantum dots
• Determination of Cooper pairs and Majorana fermions currents ratio in DC-SQUID with topologically nontrivial barriers
• Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
• Insulating regime of an underdamped current-biased Josephson junction supporting ${\mathbb{Z}}_3$ and ${\mathbb{Z}}_4$ parafermions
• Fraunhofer pattern in the presence of Majorana zero modes
• Model for missing Shapiro steps due to bias-dependent resistance
• Probing Majorana bound states via a pn-junction containing a quantum dot
• Quasiparticle poisoning in trivial and topological Josephson junctions
• Transport theory for topological Josephson junctions with a Majorana qubit
• A particle conserving approach to AC-DC driven interacting quantum dots with superconducting leads
• Edge supercurrent in Josephson junctions based on topological materials
• Study on the tunneling spectroscopy of $N-pS$ junction and $N-hS$ junction
• Missing odd-order Shapiro steps do not uniquely indicate fractional Josephson effect
• Photonic cross-noise spectroscopy of Majorana bound states
• Effect of hybridization symmetry on topological phases of odd-parity multiband superconductors
• Optimal Conditions for Observing Fractional Josephson Effect in Topological Josephson Junctions
• Kitaev ring threaded by a magnetic flux: Topological gap, Anderson localization of quasiparticles, and divergence of supercurrent derivative
• Entangled states from arborescent knots
• Majorana Bound States hallmark in a quantum topological interferometer ring
• Ubiquitous missing first Shapiro step in Al-InSb nanosheet Josephson junctions
• Auto- and cross-correlations in the spinful topological Kondo model
• Interedge backscattering in time-reversal symmetric quantum spin Hall Josephson junctions
• Josephson radiation patterns in underdamped topological Josephson junctions
• Landau-Zener transitions for Majorana fermions
• All fractional Shapiro steps in the RSJ model with two Josephson harmonics
• Detection of fractional solitons in quantum spin Hall systems
• Tunable effective length of fractional Josephson junctions
• Trivial and Non-trivial Superconductivity in dsDNA
• Majorana bound states with chiral magnetic textures