Spin-polarized Majorana Bound States inside a Vortex Core in Topological Superconductors

Abstract

We reveal that Majorana bound states inside the vortex core in an odd-parity topological superconductivity classified as "pseudo-scalar" type in the gap function are distinctly spin-polarized by solving the massive Dirac Bogoliubov-de Gennes (BdG) equation considering the spin-orbit coupling. This result is universal for "Dirac superconductivity" whose rotational degree of freedom is characterized by the total angular momentum J = S + L and in marked contrast to the spin-degeneracy of the core bound states as the consequence of the conventional BdG equation. The spin-polarized vortex core can be easily detected by spin-sensitive probes such as the neutron scattering and other measurements well above the first critical magnetic field H_{c1}.

10 pages, 6 figures to be published in J. Phys. Soc. Jpn

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• Manifestation of chirality in the vortex lattice in a two-dimensional topological superconductor
• Zeeman effects on Yu-Shiba-Rusinov states
• Origin of Topological Surface Superconductivity in FeSe${}_{0.45}$Te${}_{0.55}$
• Effect of Fermi surface evolution on superconducting gap in superconducting topological insulator
• Superconducting proximity in three dimensional Dirac materials: odd-frequency, pseudoscalar, pseudovector and tensor-valued superconducting orders
• Signature of a topological phase transition in long SN junctions in the spin-polarized density of states
• Searching for Majorana quasiparticles at vortex cores in iron-based superconductors
• Nuclear magnetic relaxation rates of unconventional superconductivity in doped topological insulators
• Inverse coherence effects in nuclear magnetic relaxation rates as a sign of topological superconductivity
• Spin-polarized local density of states in the vortex state of helical p-wave superconductors
• Surface states around a vortex in topological superconductors: Intersection of a surface and a vortex
• Inhomogeneity Effects in Topological Superconductors