Probing Topological Superconductivity of oxide nanojunctions using fractional Shapiro steps

Abstract

We theoretically discuss the emergence of fractional Shapiro steps in a Josephson junction created by confining a two-dimensional electron gas at an oxide interface. This phenomenon is induced by an alternating current of proper amplitude and frequency and can be tuned by a magnetic field applied perpendicular to the Rashba spin-orbit axis. The presence of fractional Shapiro steps can be associated with the creation of Majorana bound states at the boundaries of the superconducting leads. Our findings represent a route for the identification of topological superconductivity in non-centrosymmetric materials and confined systems in the presence of spin--orbit interaction, offering also new insights into recently explored frameworks.

8 pages, 4 figures

References in corpus (31)

• Kwant: a software package for quantum transport
• Observation of the fractional ac Josephson effect: the signature of Majorana particles
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• $4\pi$-periodic Josephson supercurrent in HgTe-based topological Josephson junctions
• Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces
• Supercurrent diode effect and finite momentum superconductivity
• A Universal Critical Density Underlying the Physics of Electrons at the LaAlO3/SrTiO3 Interface
• Gapless Andreev bound states in the quantum spin Hall insulator HgTe
• Physics of SrTiO${}_3$-based heterostructures and nanostructures: a review
• Universal Josephson diode effect
• Half-integer Shapiro steps at the 0-pi crossover of a ferromagnetic Josephson junction
• A Josephson phase battery
• Coherent low-energy charge transport in a diffusive S-N-S junction
• Magnetically-driven colossal supercurrent enhancement in InAs nanowire Josephson junctions
• Joule overheating poisons the fractional ac Josephson effect in topological Josephson junctions
• Current-phase Relationship, Thermal and Quantum Phase Slips in Superconducting Nanowires made on Scaffold Created using Adhesive Tape
• Detecting topological superconductivity using low-frequency doubled Shapiro steps
• Weak-link Josephson Junctions Made from Topological Crystalline Insulators
• Evolution of topological superconductivity by orbital selective confinement in oxide nanowires
• Half-Integer Shapiro Steps in a Short Ballistic InAs Nanowire Josephson Junction
• Half-integer Shapiro steps in highly transmissive InSb nanoflag Josephson junctions
• rf-SQUID measurements of anomalous Josephson effect
• Gate-tunable hallmarks of unconventional superconductivity in non-centrosymmetric nanowires
• Engineered Josephson diode effect in kinked Rashba nanochannels
• Hallmarks of non-trivial topology in Josephson junctions based on oxide nanochannels
• Nonadiabatic Dynamics of Strongly Driven Diffusive Josephson Junctions
• Microwave studies of the fractional Josephson effect in HgTe-based Josephson junctions
• Half-integer Shapiro Steps in Strong Ferromagnetic Josephson Junctions
• Spin-orbital polarization of Majorana edge states in oxides nanowires
• Ballistic transport through quantum point contacts of multi-orbital oxides
• Anomalous Phase Dynamics of Driven Graphene Josephson Junctions

Cited by in corpus (8)

• Andreev non-Hermitian Hamiltonian for open Josephson junctions from Green's functions
• Biharmonic-Drive Tunable Josephson Diode
• Edelstein Effect in Isotropic and Anisotropic Rashba Models
• Theory of charge-to-spin conversion under quantum confinement
• Supercurrent from the imaginary part of the Andreev levels in non-Hermitian Josephson junctions
• Enhancement of the topological regime in elongated Josephson junctions
• Boltzmann theory of the inverse Edelstein effect in a two-dimensional Rashba gas
• Spin Hall and Edelstein effects in a ballistic quantum dot with Rashba spin-orbit coupling