Inversion-symmetric Electron Gases as New Platforms for Topological Planar Josephson Junctions

Abstract

Intrinsic Rashba spin-orbital coupling (SOC) can exist in centrosymmetric materials with local inversion symmetry breaking. Here we show that such a SOC can induce topological superconductivity together with an in-plane Zeeman field in planar Josephson junctions formed by the centrosymmetric materials. A single Majorana mode can be created at each end of the junction. We demonstrate this result in a model based on iron-based superconductors. We derive the necessary Fermi surface condition for the topological planar junction and calculate the topological phase diagram with respect to the in-plane Zeeman field and the phase difference between the two superconductors. We provide experimental characteristics for the topological superconductivity, including the differential conductance and the Fano factor tomography which can be measured in the scanning tunneling spectroscopy. Our study reveals that the centrosymmetric systems with local-inversion-symmetry breaking can serve as new platforms for the topological planar Josephson junctions, and help to find more experimentally feasible materials for the topological superconductors.

arXiv comment14 pages, 7 figures

References in corpus (85)

• Topological insulators and superconductors
• Non-Abelian Anyons and Topological Quantum Computation
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Classification of topological insulators and superconductors in three spatial dimensions
• Helical liquids and Majorana bound states in quantum wires
• Classification of topological quantum matter with symmetries
• New directions in the pursuit of Majorana fermions in solid state systems
• Topological insulators and superconductors: ten-fold way and dimensional hierarchy
• 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
• Search for Majorana fermions in superconductors
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Topological Defects and Gapless Modes in Insulators and Superconductors
• Majorana fermions in chains of magnetic atoms on a superconductor
• Evidence for Majorana bound state in an iron-based superconductor
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Topological Superconductivity in CuxBi2Se3
• Majorana mode in vortex core of Bi2Te3/NbSe2 topological insulator-superconductor heterostructure
• Hidden spin polarization in inversion-symmetric bulk crystals
• The Coexistence of Superconductivity and Topological Order in the Bi2Se3 Thin Films
• Topological superconducting phase in helical Shiba chains
• Evidence of topological superconductivity in planar Josephson junctions
• Topological Superconductivity in a Phase-Controlled Josephson Junction
• Majorana corner modes in a high-temperature platform
• Fermi Surface Topological Invariants for Time Reversal Invariant Superconductors
• Zero-energy vortex bound state in the superconducting topological surface state of Fe(Se,Te)
• Topological Superconductor Bi2Te3/NbSe2 heterostructures
• Time Reversal Invariant Topological Superconductivity and Majorana Kramers Pairs
• Topological superconductivity on the surface of Fe-based superconductors
• Topological Superconductivity in a Planar Josephson Junction
• High-Temperature Majorana Corner States
• Two-dimensional platform for networks of Majorana bound states
• Robust and clean Majorana zero mode in the vortex core of high-temperature superconductor (Li0.84Fe0.16)OHFeSe
• Topological superconductivity in bilayer Rashba system
• Topological Mirror Superconductivity
• Observation of half-integer level shift of vortex bound states in an iron-based superconductor
• Flux-induced topological superconductivity in full-shell nanowires
• Topological superconductivity in full shell proximitized nanowires
• Flux-induced Majorana modes in full-shell nanowires
• Signature of Dispersing 1D Majorana Channels in an Iron-based Superconductor
• Majorana Fermions and Disclinations in Topological Crystalline Superconductors
• Topological superconductivity in Dirac semimetals
• Second Order Topological Superconductivity in $\pi$-Junction Rashba Layers
• Space group symmetry, spin-orbit coupling and the low energy effective Hamiltonian for iron based superconductors
• Helical Hinge Majoranas in Iron-Based Superconductors
• Majorana bound states without vortices in topological superconductors with electrostatic defects
• Symmetry-Protected Majorana Fermions in Topological Crystalline Superconductors: Theory and Application to Sr2RuO4
• Majorana bound states in magnetic skyrmions
• Majorana splitting from critical currents in Josephson junctions
• Ordered and tunable Majorana-zero-mode lattice in naturally strained LiFeAs
• Refined symmetry indicators for topological superconductors in all space groups
• Superconductivity and Local Inversion-Symmetry Breaking
• Majorana zero modes on a necklace
• Tunable vortex Majorana zero modes in LiFeAs superconductor
• Proximity-induced Josephson $\pi$-Junctions in Topological Insulators
• New class of topological superconductors protected by magnetic group symmetries
• Topological quantum states of matter in iron-based superconductors: From concepts to material realization
• Boundary-obstructed topological high-T${}_c$ superconductivity in iron pnictides
• Higher-Order Topological Dirac Superconductors
• UPt${}_3$ as a Topological Crystalline Superconductor
• Direct evidence of hidden local spin polarization in a centrosymmetric superconductor LaO${}_{0.55}$F${}_{0.45}$BiS${}_2$
• Quantum anomalous vortex and Majorana zero mode in iron-based superconductor Fe(Te,Se)
• Resilient nodeless $d$-wave superconductivity in monolayer FeSe
• Fractional Josephson Vortices and Braiding of Majorana Zero Modes in Planar Superconductor-Semiconductor Heterostructures
• Phase Control of Majorana Bound States in a Topological X Junction
• Quasi 1D topological nodal vortex line phase in doped superconducting 3D Dirac Semimetals
• Crystalline symmetry protected helical Majorana modes in the iron pnictides
• Evidence for exclusion of the possibility of $d$-wave superconducting-gap symmetry in Ba-doped KFe${}_2$As${}_2$
• Bound states of a ferromagnetic wire in a superconductor
• $Z_4$ Topological Superconductivity in UCoGe
• Topological Superconductivity in an s-wave Superconductor and Its Implication to Iron-based Superconductors
• Topological Nonsymmorphic Crystalline Superconductors
• Planar Josephson junctions in germanium: Effect of cubic spin-orbit interaction
• Identifying Majorana bound states by tunneling shot-noise tomography
• Topological Vortex Phase Transitions in Iron-Based Superconductors
• Symmetry-assisted protection and compensation of hidden spin polarization in centrosymmetric systems
• Fermi surface and effective masses in photoemission response of the (Ba${}_{1-x}$K${}_x$)Fe${}_2$As${}_2$ superconductor
• Majorana bound states in germanium Josephson junctions via phase control
• Hallmarks of non-trivial topology in Josephson junctions based on oxide nanochannels
• Time-Reversal Invariant Topological Superconductivity in Planar Josephson Bijunction
• Identifying Majorana Zero Modes in Vortex Lattices Using Fano Factor Tomography