Spin-Pairing Correlations and Spin Polarization of Majorana Bound States in Two-Dimensional Topological Insulator Systems

Abstract

We demonstrate that zero-energy Majorana bound state, in the ferromagnetic insulator (FI)-superconductor (SC) junction formed on the edge of two-dimensional topological insulator, exhibits three types of spin-triplet pairing correlations and its spin polarization direction is position independent in ferromagnetic insulator. When an electron is injected with a spin (anti-)parallel to this direction, equal-spin Andreev reflection exhibits the widest (narrowest) resonance peak. Similar behaviour is found when the coupling between two Majorana bound states in a FI-SC-FI junction is invoked, though an additional weak spin-singlet pairing correlation is generated. These signatures can readily facilitate the experimental detection of spin-triplet correlations and spin polarization of Majorana bound states.

5 pages, 5 figures

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• Braiding higher-order Majorana corner states through their spin degree of freedom
• Universal two-time correlations, out-of-time-ordered correlators and Leggett-Garg inequality violation by edge Majorana fermion qubits
• Unitary Symmetry-Protected Non-Abelian Statistics of Majorana Modes
• Majorana correlations in quantum impurities coupled to a topological wire
• Theory of universal differential conductance of magnetic Weyl type -II junctions
• Superconducting spin properties of Majorana nanowires and the associated superconducting anomalous Hall effect
• Spin Signature of Majorana Fermions in Topological Nodal-Point Superconductors
• Deterministic topological quantum gates for Majorana qubits without ancillary modes