Control of Majorana Edge Modes by a g-factor Engineered Nanowire Spin Transistor

Abstract

We propose the manipulation of Majorana edge states via hybridization and spin currents in a nanowire spin transistor. The spin transistor is based on a heterostructure nanowire comprising of semiconductors with large and small g-factors that form the topological and non-topological regions respectively. The hybridization of bound edge states results in spin currents and $4\pi$-periodic torques, as a function of the relative magnetic field angle -- an effect which is dual to the fractional Josephson effect. We establish relation between torques and spin-currents in the non-topological region where the magnetic field is almost zero and spin is conserved along the spin-orbit field direction. The angular momentum transfer could be detected by sensitive magnetic resonance force microscopy techniques.

References in corpus (17)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Signatures of Majorana fermions in hybrid superconductor-semiconductor nanowire devices
• Majorana Fermions and a Topological Phase Transition in Semiconductor-Superconductor Heterostructures
• Observation of Majorana Fermions in a Nb-InSb Nanowire-Nb Hybrid Quantum Device
• Anomalous modulation of a zero bias peak in a hybrid nanowire-superconductor device
• Zero-bias peaks in spin-orbit coupled superconducting wires with and without Majorana end-states
• Zero-bias anomaly in a nanowire quantum dot coupled to superconductors
• A Majorana smoking gun for the superconductor-semiconductor hybrid topological system
• Zero-voltage conductance peak from weak antilocalization in a Majorana nanowire
• Class D spectral peak in Majorana quantum wires
• Tunable effective g-factor in InAs nanowire quantum dots
• Nanomechanical Detection of Itinerant Electron Spin Flip
• Magneto-Josephson effects in junctions with Majorana bound states
• Topological superfluid ${}^3$He-B: fermion zero modes on interfaces and in the vortex core
• Macrospin Tunneling and Magnetopolaritons with Nanomechanical Interference
• Engineering and manipulating topological qubits in 1D quantum wires
• Fractional Spin Josephson Effect and Electrically Controlled Magnetization in Quantum Spin Hall Edges