Magnetization dynamics and Majorana fermions in ferromagnetic Josephson junctions along the quantum spin Hall edge

Abstract

We investigate the interplay between ferromagnetic and superconducting order at the edge of a quantum spin Hall insulator. Using complementary analytical and self-consistent numerical approaches, we study a ferromagnetic Josephson junction and show how the direct coupling between magnetism and the superconducting U(1) phase gives rise to several unusual phenomena which distinguishes the present system from its non-topological equivalent. In particular, we demonstrate how the anomalous current-phase relation triggers supercurrent-induced magnetization dynamics and also study the spatial localization of the Majorana fermions appearing in the junction.

4+ pages, 4 figures. Version 2 contains only minor changes

References in corpus (7)

• Non-Abelian Anyons and Topological Quantum Computation
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Proximity effect at the superconductor - topological insulator interface
• Strongly anharmonic current-phase relation in ballistic graphene Josephson junctions

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• Quantum interference of edge supercurrents in a two-dimensional topological insulator
• Evidence for Majorana bound states in transport properties of hybrid structures based on helical liquids
• Quantum ground state control in superconductor-silicene structures: $0$-$\pi$ transitions, ${\phi }_0$-junctions, and Majorana bound states
• Highly tunable time-reversal-invariant topological superconductivity in topological insulator thin films
• Anomalous Josephson effect in planar noncentrosymmetric superconducting devices
• Superconducting Diode Effect in Two-dimensional Topological Insulator Edges and Josephson Junctions
• Enhanced Majorana bound states in magnetic chains on superconducting topological insulator edges
• Nonlinear Dynamics in a Magnetic Josephson Junction
• Giant spin splitting and $0-\pi$ Josephson transitions from the Edelstein effect in quantum spin-Hall insulators
• Gap oscillations and Majorana bound states in magnetic chains on superconducting honeycomb lattices
• Quasiparticle poisoning in trivial and topological Josephson junctions
• Topological insulator in a helicoidal magnetization field
• Detection of fractional solitons in quantum spin Hall systems