Anomalous Josephson current in superconducting topological insulator

Abstract

We investigate the effect of helical Majorana fermions at the surface of superconducting topological insulators (STI) on the Josephson current by referring to possible pairing states of Cu-doped Bi2Se3. The surface state in the present STI has a spin helicity because the directions of spin and momentum are locked to each other. The Josephson current-phase relation in an STI/s-wave superconductor junction shows robust sin(2ϕ) owing to mirror symmetry, where ϕdenotes the macroscopic phase difference between the two superconductors. In contrast, the maximum Josephson current in an STI/STI junction exhibits a nonmonotonic temperature dependence depending on the relative spin helicity of the two surface states. Detecting these features qualifies as distinct experimental evidence for the identification of the helical Majorana fermion in STIs.

5 pages, 2 figures

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Cited by in corpus (14)

• Classification of topological quantum matter with symmetries
• Topological superconductors: a review
• Majorana Fermions and Topology in Superconductors
• Topological superconductivity in Dirac semimetals
• Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions
• Dirac-Fermion-Induced Parity Mixing in Superconducting Topological Insulators
• Fractional Josephson Effect with and without Majorana Zero Modes
• Superconducting doped topological materials
• Quasi-classical theory of tunneling spectroscopy in superconducting topological insulator
• Orientation-dependent transport in junctions formed by $d$-wave altermagnets and $d$-wave superconductors
• Conductance interference in a superconducting Coulomb blockaded Majorana ring
• Observation of the topological Dirac fermions and surface states in superconducting BaSn3
• Representation-protected topology of spin-singlet $s$-wave superconductors
• Superconducting Gap Structures in Wallpaper Fermion Systems