Anomalous Josephson current via Majorana bound states in topological insulators

Abstract

We propose a setup involving Majorana bound states (MBS) hosted by a vortex on a superconducting surface of a 3D Topological Insulator (TI). We consider a narrow channel drilled across a TI slab with both sides covered by s-wave superconductor. In the presence of a vortex pinned to such a channel, it acts as a ballistic nanowire connecting the superconducting surfaces, with a pair of MBS localized in it. The energies of the MBS possess a 4π-periodic dependence on the superconductive phase difference ϕbetween the surfaces. It results in the appearence of an anomalous term in the current-phase relation, I_a(ϕ) for the supercurrent flowing along the channel between the superconductive surfaces. We have calculated the shape of the 4π-periodic function I_a(ϕ), as well as the dependence of its amplitude on temperature and system parameters.

7 pages, 3 figures

References in corpus (4)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Non-Abelian quantum order in spin-orbit-coupled semiconductors: The search for topological Majorana particles in solid state systems

Cited by in corpus (73)

• New directions in the pursuit of Majorana fermions in solid state systems
• Search for Majorana fermions in superconductors
• Spin-polarized supercurrents for spintronics: a review of current progress
• Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices
• AC Josephson effect in finite-length nanowire junctions with Majorana modes
• Unconventional Josephson signatures of Majorana bound states
• Dynamical detection of Majorana fermions in current-biased nanowires
• 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
• Coulomb stability of the 4π-periodic Josephson effect of Majorana fermions
• Majorana nanowires for topological quantum computation
• Thermoelectrical detection of Majorana states
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• Shiba impurity bound states as a probe of topological superconductivity and Fermion parity changing quantum phase transitions
• Spin-helical transport in normal and superconducting topological insulators
• Robustness of Majorana Fermion induced Fractional Josephson Effect
• Tunability of microwave transitions as a signature of coherent parity mixing effects in the Majorana-Transmon qubit
• Majorana bound states in semiconducting nanostructures
• Supercurrent blockade in Josephson junctions with a Majorana wire
• Anderson localization and topological phase transitions in non-Hermitian Aubry-André-Harper models with p-wave pairing
• Current-phase relation for Josephson effect through helical metal
• Detecting Majorana fermions by nonlocal entanglement between quantum dots
• Crossover from Majorana edge to end states in quasi-one-dimensional p-wave superconductors
• Tunneling spectrum of a pinned vortex with a robust Majorana state
• Spin Berry phase in anisotropic topological insulators
• Anomalous Energy Transport across Topological Insulator Superconductor Junctions
• Majorana state on the surface of a disordered 3D topological insulator
• Topological superconductivity and Majorana states in low-dimensional systems
• Detecting Perfect Transmission in Josephson Junctions on the Surface of Three Dimensional Topological Insulators
• Josephson effect in superconducting wires supporting multiple Majorana edge states
• Advantages of using YBCO-Nanowire-YBCO heterostructures in the search for Majorana Fermions
• Tunneling conductance due to discrete spectrum of Andreev states
• Transport through a quantum dot coupled to two Majorana bound states
• Thermoelectric transport in junctions of Majorana and Dirac channels
• Microscopic theory for a ferromagnetic-nanowire/superconductor heterostructure: Transport, fluctuations and topological superconductivity
• Majorana fermions at the edge of superconducting islands
• Josephson Effect in Noncentrosymmetric Superconductor Junctions
• Detecting the Exchange Phase of Majorana Bound States in a Corbino Geometry Topological Josephson Junction
• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Majorana fermion from Landau quantization in 2D topological superconductors
• Josephson current between topological and conventional superconductors
• Transport in a hybrid normal-topological superconductor Kondo model
• Effects of finite superconducting coherence lengths and of phase gradients in topological SN and SNS junctions and rings
• Fractional Josephson effect in a quadruple quantum dot
• Josephson junction on one edge of a two dimensional topological insulator affected by magnetic impurity
• Geometric dependence of Nb-Bi${}_2$Te${}_3$-Nb topological Josephson junction transport parameters
• Superconducting Diode Effect in Quantum Spin Hall Insulator-based Josephson Junctions
• Topological transitions in electronic spectra: Crossover between Abrikosov and Josephson vortices
• Thermodynamics in topological Josephson junctions
• Planar Josephson Hall effect in topological Josephson junctions
• Strong-coupling topological Josephson effect in quantum wires
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Josephson radiation from nonlinear dynamics of Majorana zero modes
• Influences of electron-phonon interaction on quantum transport through one quantum-dot system with side-coupled Majorana zero mode
• Critical current for an insulating regime of an underdamped current-biased topological Josephson junction
• Study on the tunneling spectroscopy of $N-pS$ junction and $N-hS$ junction
• Transport in a long-range Kitaev ladder: role of Majorana and subgap Andreev states
• Detection of Majorana zero modes bound to Josephson vortices in planar superconductor-topological insulator-superconductor junctions
• Effect of incommensurate disorder on the resonant tunneling through Majorana bound states on the topological superconductor chains
• Superconductive proximity in a Topological Insulator slab and excitations bound to an axial vortex
• Aharonov-Bohm oscillations caused by non-topological surface states in Dirac nanowires
• Electronic structure of a Josephson vortex in a SIS junction
• Kitaev ring threaded by a magnetic flux: Topological gap, Anderson localization of quasiparticles, and divergence of supercurrent derivative
• Landau-Zener transitions for Majorana fermions
• Josephson radiation patterns in underdamped topological Josephson junctions
• Emergence of multiple zero modes bound to vortices in extended topological Josephson junctions
• Topological superconducting phase in a non-Hermitian Kitaev chain with staggered pairing imbalance
• Rashba spin-orbit coupling and artificially engineered topological superconductors
• Changes of Kondo effect in the junction with DIII-class topological and $s$-wave superconductors
• Vortex-state-mediated Josephson effect
• Electrical transport through a quantum dot side-coupled to a topological superconductor
• On Field Induced Diaelastic Effect in a Small Josephson Contact
• Majorana bound states with chiral magnetic textures