Majorana edge and end states in planar Josephson junctions
arXiv:2409.19086 · doi:10.1016/j.physe.2025.116444
Abstract
We theoretically investigate the localization properties of Majorana states (MSs) in proximitized, planar Josephson Junctions (JJs) oriented along different crystallographic orientations and in the presence of an in-plane magnetic field and Rashba and Dresselhaus spin-orbit couplings. We show that two types of MSs may emerge when the junction transits into the topological superconducting state. In one case, referred to as end-like MSs, the Majorana quasiparticles are mainly localized inside the normal region at the opposite ends of the junction. In contrast, edge-like MSs extend along the opposite edges of the system, perpendicular to the junction channel. We show how the MSs can transit from end-like to edge-like and vice versa by tuning the magnetic field strength and/or the superconducting phase difference across the junction. In the case of phase-unbiased JJs the transition may occur as the ground state phase difference self-adjusts its value when the Zeeman field is varied. We propose exploiting the extended nature of edge-like MSs as effective interconnects enabling the coupling between topological states in adjacent planar JJs. The impact of electrostatic disorder on the MSs is also analyzed.
15 pages, 10 figures
References in corpus (69)
- Topological insulators and superconductors
- Fault-tolerant quantum computation by anyons
- Non-Abelian Anyons and Topological Quantum Computation
- Unpaired Majorana fermions in quantum wires
- Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
- Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
- Helical liquids and Majorana bound states in quantum wires
- Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
- Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
- A generic new platform for topological quantum computation using semiconductor heterostructures
- Non-abelian statistics of half-quantum vortices in p-wave superconductors
- Search for Majorana fermions in superconductors
- Non-Abelian statistics and topological quantum information processing in 1D wire networks
- Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
- Kwant: a software package for quantum transport
- Observation of the fractional ac Josephson effect: the signature of Majorana particles
- Majorana bound states in a coupled quantum-dot hybrid-nanowire system
- Introduction to topological superconductivity and Majorana fermions
- Majorana fermions in chains of magnetic atoms on a superconductor
- Topological superconducting phase in helical Shiba chains
- Majorana fermions emerging from magnetic nanoparticles on a superconductor without spin-orbit coupling
- Majorana Fermions in Semiconductor Nanowires
- Evidence of topological superconductivity in planar Josephson junctions
- Induced Superconductivity in the Quantum Spin Hall Edge
- Coulomb-assisted braiding of Majorana fermions in a Josephson junction array
- Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
- Topological Quantum Computation Based on Chiral Majorana Fermions
- Topological Superconductivity in a Phase-Controlled Josephson Junction
- Topological invariants for spin-orbit coupled superconductor nanowires
- Non-Abelian operations on Majorana fermions via single charge control
- Two-dimensional platform for networks of Majorana bound states
- Majorana fermions in superconducting nanowires without spin-orbit coupling
- Transition from fractional to Majorana fermions in Rashba nanowires
- Gate Controlled Anomalous Phase Shift in Al/InAs Josephson Junctions
- Signature of a pair of Majorana zero modes in superconducting gold surface states
- Phase signature of topological transition in Josephson Junctions
- Enhanced zero-bias Majorana peak in disordered multi-subband quantum wires
- Majorana nanowires for topological quantum computation
- Time reversal non-invariant non-Abelian topological order in non-centrosymmetric superconductors
- Effects of electron scattering on the topological properties of nanowires: Majorana fermions from disorder and superlattices
- Synthetic spin orbit interaction for Majorana devices
- Wireless Majorana Bound States: From Magnetic Tunability to Braiding
- Proposal for Coherent Coupling of Majorana Zero Modes and Superconducting Qubits Using the 4 pi-Josephson Effect
- Isolated pairs of Majorana zero modes in a disordered superconducting lead monolayer
- Fusion of Majorana Bound States with Mini-Gate Control in Two-Dimensional Systems
- Enhanced proximity effect in zigzag-shaped Majorana Josephson junctions
- Benefits of weak disorder in one dimensional topological superconductors
- Tuning Topological Superconductivity in Phase-Controlled Josephson Junctions with Rashba and Dresselhaus Spin-Orbit Coupling
- Tunable Magnetic Textures: From Majorana Bound States to Braiding
- Electrical control of Majorana Bound States Using Magnetic Stripes
- Reentrant topological phase transitions in a disordered spinless superconducting wire
- Majorana flat bands, chiral Majorana edge states, and unidirectional Majorana edge states in noncentrosymmetric superconductors
- Phase-induced topological superconductivity in a planar heterostructure
- Anisotropic topological superconductivity in Josephson junctions
- Controlling Majorana states in topologically inhomogeneous superconductors
- Braidonium: a braiding quantum circuit based on the Josephson effect
- Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
- Disorder-induced topological transitions in multichannel Majorana wires
- Crystalline Anisotropic Topological Superconductivity in Planar Josephson Junctions
- Analytic approach to transport in superconducting junctions with arbitrary carrier density
- Trapping Majorana Zero Modes in Vortices of Magnetic Texture Crystals Coupled to Nodal Superconductors
- Insulating regime of an underdamped current-biased Josephson junction supporting and parafermions
- Microwave Signatures of Topological Superconductivity in Planar Josephson Junctions
- Beyond the standard model of topological Josephson junctions: From crystalline anisotropy to finite-size and diode effects
- Fermion-parity switches of the ground state of Majorana billiards
- 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
- Superconducting triangular islands as a platform for manipulating Majorana zero modes
- Multi-locational Majorana Zero Modes