Fractional Josephson Vortices and Braiding of Majorana Zero Modes in Planar Superconductor-Semiconductor Heterostructures

Abstract

We consider the one-dimensional (1D) topological superconductor that may form in a planar superconductor-metal-superconductor Josephson junction in which the metal is is subjected to spin orbit coupling and to an in-plane magnetic field. This 1D topological superconductor has been the subject of recent theoretical and experimental attention. We examine the effect of perpendicular magnetic field and a supercurrent driven across the junction on the position and structure of the Majorana zero modes that are associated with the topological superconductor. In particular, we show that under certain conditions the Josephson vortices fractionalize to half-vortices, each carrying half of the superconducting flux quantum and a single Majorana zero mode. Furthemore, we show that the system allows for a current-controlled braiding of Majorana zero modes.

eight pages. Includes a link to animation

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Cited by in corpus (36)

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• Signatures of a topological phase transition in a planar Josephson junction
• Tuning Topological Superconductivity in Phase-Controlled Josephson Junctions with Rashba and Dresselhaus Spin-Orbit Coupling
• Braiding Majorana Fermions and Creating Quantum Logic Gates with Vortices on a Periodic Pinning Structure
• A topological Josephson junction platform for creating, manipulating, and braiding Majorana bound states
• Control of Andreev bound states using superconducting phase texture
• Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
• Quantum transport in high-quality shallow InSb quantum wells
• How to measure the Majorana polarization of a topological planar Josephson junction
• Fusion rules in a Majorana single-charge transistor
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Crystalline Anisotropic Topological Superconductivity in Planar Josephson Junctions
• Controlling Andreev bound states with the magnetic vector potential
• Signatures of Majorana bound states and parity effects in two-dimensional chiral p-wave Josephson junctions
• Low-temperature environments for quantum computation and quantum simulation
• Josephson radiation from nonlinear dynamics of Majorana zero modes
• Beyond the standard model of topological Josephson junctions: From crystalline anisotropy to finite-size and diode effects
• Transport theory for topological Josephson junctions with a Majorana qubit
• Detection of Majorana zero modes bound to Josephson vortices in planar superconductor-topological insulator-superconductor junctions
• Disorder effects in planar semiconductor-superconductor structures: Majorana wires versus Josephson junctions
• Universal properties of anyon braiding on one-dimensional wire networks
• Tunable Majorana corner states driven by superconducting phase bias in a vertical Josephson junction
• Challenges in detecting topological superconducting transitions via supercurrent and phase probes in planar Josephson junctions
• Majorana bound state parity exchanges in planar Josephson junctions
• Transport-based fusion that distinguishes between Majorana and Andreev bound states
• Multiple Majorana bound states and their resilience against disorder in planar Josephson junctions
• Magnetic field-free braiding and nontrivial fusion of Majorana bound states in high-temperature planar Josephson junctions
• Binding zero modes with fluxons in Josephson junctions of time-reversal invariant topological superconductors
• Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions
• Josephson radiation patterns in underdamped topological Josephson junctions
• Planar Josephson junction devices with narrow superconducting strips: Topological properties and optimization
• Long-time soliton dynamics via a coarse-grained space-time method
• Spin splitting, Kondo correlation and singlet-doublet quantum phase transition in a superconductor-coupled InSb nanosheet quantum dot