Electronic structure of full-shell InAs/Al hybrid semiconductor-superconductor nanowires: Spin-orbit coupling and topological phase space

Abstract

We study the electronic structure of full-shell superconductor-semiconductor nanowires, which have recently been proposed for creating Majorana zero modes, using an eight-band $\vec{k}\cdot \vec{p}$ model within a fully self-consistent Schrödinger-Poisson scheme. We find that the spin-orbit coupling induced by the intrinsic radial electric field is generically weak for sub-bands with their minimum near the Fermi energy. Furthermore, we show that the chemical potential windows consistent with the emergence of a topological phase are small and sparse and can only be reached by fine tunning the diameter of the wire. These findings suggest that the parameter space consistent with the realization of a topological phase in full-shell InAs/Al nanowires is, at best, very narrow.

arXiv comment5 pages, 4 figures + Supplemental Material

References in corpus (38)

• 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
• Paired states of fermions in two dimensions with breaking of parity and time-reversal symmetries, and the fractional quantum Hall effect
• Helical liquids and Majorana bound states in quantum wires
• Evidence of Majorana fermions in an Al - InAs nanowire topological superconductor
• A generic new platform for topological quantum computation using semiconductor heterostructures
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Majorana Zero Modes and Topological Quantum Computation
• Exponential Protection of Zero Modes in Majorana Islands
• Majorana bound states in a coupled quantum-dot hybrid-nanowire system
• Superconductor-Nanowire Devices from Tunneling to the Multichannel Regime: Zero-Bias Oscillations and Magnetoconductance Crossover
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Scaling of Majorana Zero-Bias Conductance Peaks
• Andreev bound states versus Majorana bound states in quantum dot-nanowire-superconductor hybrid structures: Trivial versus topological zero-bias conductance peaks
• Near-zero-energy end states in topologically trivial spin-orbit coupled superconducting nanowires with a smooth confinement
• Ballistic Majorana nanowire devices
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Ballistic superconductivity in semiconductor nanowires
• Majorana bound states in non-homogeneous semiconductor nanowires
• Two terminal charge tunneling: Disentangling Majorana zero modes from partially separated Andreev bound states in semiconductor-superconductor heterostructures
• Zero-energy Andreev bound states from quantum dots in proximitized Rashba nanowires
• Effects of gate-induced electric fields on semiconductor Majorana nanowires
• Hybridization at superconductor-semiconductor interfaces
• Metallization of Rashba wire by superconducting layer in the strong-proximity regime
• Effective theory approach to the Schrodinger-Poisson problem in semiconductor Majorana devices
• Effects of the electrostatic environment on the Majorana nanowire devices
• Effects of large induced superconducting gap on semiconductor Majorana nanowires
• Orbital contributions to the electron g-factor in semiconductor nanowires
• Proximity-induced low-energy renormalization in hybrid semiconductor-superconductor Majorana structures
• A comparison of atomistic and continuum theoretical approaches to determine electronic properties of GaN/AlN quantum dots
• Realistic multiband k.p approach from ab initio and spin-orbit coupling effects of InAs and InP in wurtzite phase
• Spin-orbit coupling effects in zinc-blende InSb and wurtzite InAs nanowires: Realistic calculations with multiband $\vec{k}\cdot \vec{p}$ method
• Tuning Rashba spin-orbit coupling in homogeneous semiconductor nanowires
• k.p theory of freestanding narrow band gap semiconductor nanowires
• An efficient finite-difference scheme for computation of electron states in free-standing and core-shell quantum wires
• An improved discretization of Schrodinger-like radial equations

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• Nontopological zero-bias peaks in full-shell nanowires induced by flux tunable Andreev states
• Supercurrent detection of topologically trivial zero-energy states in nanowire junctions
• Majorana nanowires for topological quantum computation
• Local and non-local quantum transport due to Andreev bound states in finite Rashba nanowires with superconducting and normal sections
• Majorana bound states in semiconducting nanostructures
• Subband occupation in semiconductor-superconductor nanowires
• Recent progress on Majorana in semiconductor-superconductor heterostructures--Engineering and detection
• Supercurrent-induced Majorana bound states in a planar geometry
• Theory of Caroli-de Gennes-Matricon analogs in full-shell hybrid nanowires
• Enhanced orbital magnetic field effects in Ge hole nanowires
• Surface Josephson plasma waves in a high-temperature superconductor
• Multiple topological transitions driven by the interplay of normal scattering and Andreev scattering
• Phenomenology of Majorana zero modes in full-shell hybrid nanowires
• Improved effective equation for the Rashba spin-orbit coupling in semiconductor nanowires
• Anisotropy of the spin-orbit coupling driven by a magnetic field in InAs nanowires
• Fluxoid-induced pairing suppression and near-zero modes in quantum dots coupled to full-shell nanowires
• Absence of Majorana oscillations in finite-length full-shell hybrid nanowires
• Phase coherent transport and spin-orbit interaction in GaAs/InSb core/shell nanowires
• InP/GaSb core-shell nanowires: a novel hole-based platform with strong spin-orbit coupling for full-shell hybrid devices
• Fluxoid valve effect in full-shell nanowire Josephson junctions
• Absence of Quasi-Majorana False Positives in Full-Shell Hybrid Nanowires
• Fluxoid solitons in superconducting tapered tubes and bottlenecks