Planar Hall supercurrent and δϕ-shift in the topological Josephson junction

Abstract

We theoretically investigate Josephson junctions comprising superconductors and ferromagnets on the surface of three-dimensional topological insulators. We use Bogoliubov-deGennes formalism and show the in-plane magnetization creates a difference between the upward and downward population of Andreev modes and produces a planar Hall supercurrent. Due to the strong spin-orbit interaction of Dirac fermions, bending on the supercurrent imposes a spin transfer torque on the junction. We develop a theory and demonstrate the relation between planar Hall supercurrent and spin transfer torque. The parallel component of in-plane magnetization creates an anomalous supercurrent that can flow even in zero superconducting phase difference and make $\delta \varphi$-junction. We show in some range,$\pi /2d\le m_y\le \pi /d$, there is a $\pi$ shift in the Josephson supercurrent. This research advances our understanding of quantum transport in 3DTIs and highlights their potential in emerging quantum technologies.

arXiv comment8 pages,

References in corpus (24)

• Topological Insulators
• Topological insulators and superconductors
• Topological Insulators in Three Dimensions
• New directions in the pursuit of Majorana fermions in solid state systems
• Coupling of two superconductors through a ferromagnet : evidence for a pi-junction
• Specular Andreev reflection in graphene
• p-type Bi2Se3 for topological insulator and low temperature thermoelectric applications
• Spin-polarized supercurrents for spintronics: a review of current progress
• Unconventional superconductivity on a topological insulator
• Direct coupling between magnetism and superconducting current in Josephson Phi junction
• Unconventional Josephson Effect in Hybrid Superconductor-Topological Insulator Devices
• Josephson effect in ballistic graphene
• Josephson supercurrent through a topological insulator surface state
• Random-matrix theory of Majorana fermions and topological superconductors
• Gate-tuned normal and superconducting transport at the surface of a topological insulator
• Fully developed triplet proximity effect
• Evidence for an anomalous current phase relation in topological insulator Josephson junctions
• Josephson junction with magnetic-field tunable ground state
• A supercurrent switch in graphene $\pi$-junctions
• Excitation gap of a graphene channel with superconducting boundaries
• Finite momentum Cooper pairing in 3D topological insulator Josephson junctions
• Anomalous Fraunhofer patterns in gated Josephson junctions based on the bulk-insulating topological insulator BiSbTeSe2
• Progress in superconductor-semiconductor topological Josephson junctions
• Fractional AC Josephson effect in a topological insulator proximitized by a self-formed superconductor