Spin-orbital polarization of Majorana edge states in oxides nanowires

Abstract

We investigate a paradigmatic case of topological superconductivity in a one-dimensional nanowire with $d-$orbitals and a strong interplay of spin-orbital degrees of freedom due to the competition of orbital Rashba interaction, atomic spin-orbit coupling, and structural distortions. We demonstrate that the resulting electronic structure exhibits an orbital dependent magnetic anisotropy which affects the topological phase diagram and the character of the Majorana bound states (MBSs). The inspection of the electronic component of the MBSs reveals that the spin-orbital polarization generally occurs along the direction of the applied Zeeeman magnetic field, and transverse to the magnetic and orbital Rashba fields. The competition of symmetric and antisymmetric spin-orbit coupling remarkably leads to a misalignment of the spin and orbital moments transverse to the orbital Rashba fields, whose manifestation is essentially orbital dependent. The behavior of the spin-orbital polarization along the applied Zeeman field reflects the presence of multiple Fermi points with inequivalent orbital character in the normal state. Additionally, the response to variation of the electronic parameters related with the degree of spin-orbital entanglement leads to distinctive evolution of the spin-orbital polarization of the MBSs. These findings unveil novel paths to single-out hallmarks relevant for the experimental detection of MBSs.

arXiv comment14 pages, 8 figures

References in corpus (69)

• Topological Insulators
• Topological insulators and superconductors
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Unpaired Majorana fermions in quantum wires
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• New directions in the pursuit of Majorana fermions in solid state systems
• Observation of Majorana Fermions in Ferromagnetic Atomic Chains on a Superconductor
• 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
• Topological superconductors: a review
• Kwant: a software package for quantum transport
• Electric Field Control of the LaAlO${}_3$/SrTiO${}_3$ Interface Ground State
• Tunable Rashba spin-orbit interaction at oxide interfaces
• Realizing Majorana zero modes in superconductor-semiconductor heterostructures
• Colloquium: Majorana Fermions in nuclear, particle and solid-state physics
• Introduction to topological superconductivity and Majorana fermions
• Observation of topological superconductivity on the surface of an iron-based superconductor
• Observation of Majorana fermions with spin selective Andreev reflection in the vortex of topological superconductor
• Evaluation of Spin-Triplet Superconductivity in Sr2RuO4
• Majorana Fermions in Semiconductor Nanowires: Fundamentals, Modeling, and Experiment
• Observation of topological order in a Superconducting doped topological insulator (based on the Bi2Se3 class)
• Tuning spin-orbit coupling and superconductivity at the SrTiO3/LaAlO3 interface: a magneto-transport study
• End states and subgap structure in proximity-coupled chains of magnetic adatoms
• Theory of spin-orbit coupling at LaAlO3/SrTiO3 interfaces and SrTiO3 surfaces
• A Universal Critical Density Underlying the Physics of Electrons at the LaAlO3/SrTiO3 Interface
• Probing Atomic Structure and Majorana Wavefunctions in Mono-Atomic Fe-chains on Superconducting Pb-Surface
• Multichannel Generalization of Kitaev's Majorana End States and a Practical Route to Realize Them in Thin Films
• Photoferroelectric oxides
• Physics of SrTiO${}_3$-based heterostructures and nanostructures: a review
• Distinguishing a Majorana zero mode using spin resolved measurements
• Interaction Effects in Topological Superconducting Wires Supporting Majorana Fermions
• Search for Majorana fermions in multiband semiconducting nanowires
• Spin and Majorana polarization in topological superconducting wires
• Superconductivity and Ferromagnetism in Oxide Interface Structures: Possibility of Finite Momentum Pairing
• Majorana Zero Modes in 1D Quantum Wires Without Long-Ranged Superconducting Order
• Theory of t2g electron-gas Rashba interactions
• Selective Equal-Spin Andreev Reflections Induced by Majorana Fermions
• Majorana bound states without vortices in topological superconductors with electrostatic defects
• Topological superconductivity and unconventional pairing in oxide interfaces
• Symmetry Protected Topological Order and Spin Susceptibility in Superfluid 3He-B
• Mutation of Andreev into Majorana bound states in long NS and SNS junctions
• Visualising Majorana bound states in 1D and 2D using the generalized Majorana polarization
• Magnetic-field instability of Majorana modes in multiband quantum wires
• Magnetic and Superconducting Ordering at LaAlO3/SrTiO3 Interfaces
• Competition Between Kondo Screening and Magnetism at the LaAlO${}_3$/SrTiO${}_3$ Interface
• One-Dimensional Nature of Pairing and Superconductivity at the LaAlO${}_3$/SrTiO${}_3$ Interface
• Classification of engineered topological superconductors
• Dynamical formation and manipulation of Majorana fermions in driven quantum wires
• Topological states at the (001) surface of SrTiO3
• Route to Topological Superconductivity via Magnetic Field Rotation
• Superconductivity with Rashba Spin-Orbit Coupling and Magnetic Field
• Inter-orbital topological superconductivity in spin-orbit coupled superconductors with inversion symmetry breaking
• Topological superconductivity and Majorana bound states at the LaAlO${}_3$/SrTiO${}_3$ interface
• Multi-Orbital Superconductivity in SrTiO3 /LaAlO3 Interface and SrTiO3 Surface
• Evolution of topological superconductivity by orbital selective confinement in oxide nanowires
• Magnetic-Field-Induced Topological Reorganization of a P-wave Superconductor
• Magnetoelectrically-Tunable Andreev-Bound-State Spectra and Spin Polarization in P-Wave Josephson Junctions
• Multi-band theory of superconductivity at the LaAlO${}_3$/SrTiO${}_3$ interface
• Unveiling Signatures of Topological Phases in Open Kitaev Chains and Ladders
• Testing the formation of Majorana states using the Majorana Polarization
• Majorana-like localized spin density without bound states in topologically trivial spin-orbit coupled nanowires
• Majorana fermion fingerprints in spin-polarised scanning tunneling microscopy
• Orbital tunable 0-$\pi$ transitions in Josephson junctions with noncentrosymmetric topological superconductors
• Majoranas with and without a 'character': hybridization, braiding and Majorana number
• Magnetic manipulation of topological states in p-wave superconductors
• Spin-Orbital Hallmarks of Unconventional Superconductors Without Inversion Symmetry
• Transport signatures of topological phases in double nanowires probed by spin-polarized STM
• Topological signatures of the coexistence of antiferromagnetism and odd-parity spin-triplet superconductivity

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• Probing Topological Superconductivity of oxide nanojunctions using fractional Shapiro steps
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Ballistic transport through quantum point contacts of multi-orbital oxides
• Strain-induced topological phase transition at (111) SrTiO${}_3$-based heterostructures