Majorana Fermion Rides on a Magnetic Domain Wall

Abstract

We propose using a mobile magnetic domain wall as a host of zero-energy Majorana fermions in a spin-orbit coupled nanowire sandwiched by two ferromagnetic strips and deposited on an $s$-wave superconductor. The ability to control domain walls by thermal means allows to braid Majorana fermions nonintrusively, which obey non-Abelian statistics. The analytical solutions of Majorana fermions inside domain walls are obtained in the strong spin-orbit regime.

5 pages, 4 figures

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• Phase Control of Majorana Bound States in a Topological X Junction
• Tuning Topological Superconductivity in Phase-Controlled Josephson Junctions with Rashba and Dresselhaus Spin-Orbit Coupling
• Tunable Magnetic Textures: From Majorana Bound States to Braiding
• Stabilization and control of Majorana bound states with elongated skyrmions
• Electrical control of Majorana Bound States Using Magnetic Stripes
• Controlling Majorana states in topologically inhomogeneous superconductors
• Volkov-Pankratov states in topological superconductors
• Influence of long-range interaction on Majorana zero modes
• Vortex pinning by the point potential in topological superconductors: a scheme for braiding Majorana bound states
• Effect of topological length on Bound states signatures in a Topological nanowire
• Dispersive 1D Majorana modes with emergent supersymmetry in 1D proximitized superconductors via spatially-modulated potentials and magnetic fields
• Signatures of enhanced spin-triplet superconductivity induced by interfacial properties
• Majorana bound states with chiral magnetic textures
• Identification of the Majorana edge modes in tight-binding systems based on the Krylov method