Majorana spintronics

Abstract

We propose a systematic magnetic-flux-free approach to detect, manipulate and braid Majorana fermions in a semiconductor nanowire-based topological Josephson junction by utilizing the Majorana spin degree of freedom. We find an intrinsic $\pi$-phase difference between spin-triplet pairings enforced by the Majorana zeros modes (MZMs) at the two ends of a one-dimensional spinful topological superconductor. This $\pi$-phase is identified to be a spin-dependent superconducting phase, referred to as the spin-phase, which we show to be tunable by controlling spin-orbit coupling strength via electric gates. This electric controllable spin-phase not only affects the coupling energy between MZMs but also leads to a fractional Josephson effect in the absence of any applied magnetic flux, which enables the efficient topological qubit readout. We thus propose an all-electrically controlled superconductor-semiconductor hybrid circuit to manipulate MZMs and to detect their non-Abelian braiding statistics properties. Our work on spin properties of topological Josephson effects potentially opens up a new thrust for spintronic applications with Majorana-based semiconductor quantum circuits.

15 pages, 9 figures, replaced with published version

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Cited by in corpus (18)

• Kondo and Majorana signatures near the singlet-doublet quantum phase transition
• Higher-order topological superconductors based on weak topological insulators
• Symmetry-protected non-Abelian braiding of Majorana Kramers' pairs
• Spin-resolved interference due to Majorana state on interface between normal and superconducting leads
• Braiding higher-order Majorana corner states through their spin degree of freedom
• Signatures of time-reversal-invariant topological superconductivity in the Josephson effect
• Statistical properties of linear Majorana fermions
• Dynamical leakage of Majorana mode into side-attached quantum dot
• Topological superconductivity at finite temperatures in proximitized magnetic nanowires
• Topological superconducting phases and Josephson effect in curved time-reversal-invariant superconductors
• Survival of the fractional Josephson effect in time-reversal-invariant topological superconductors
• Controllable Majorana vortex states in iron-based superconducting nanowires
• ${\varphi }_0$-junction and Josephson diode effect in high-temperature superconductor
• Superconducting spin properties of Majorana nanowires and the associated superconducting anomalous Hall effect
• Interplay between pairing and correlations in spin-polarized bound states
• Deterministic topological quantum gates for Majorana qubits without ancillary modes
• Dissipationless topological quantum computation for Majorana objects in sparse-dense mixed encoding process
• Properties of multiterminal superconducting nanostructure with double quantum dot