Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping

Abstract

We study the effect of the Fermi surface anisotropy on the odd-frequency spin-triplet pairing component of the induced pair potential. We consider a superconductor/ ferromagnetic insulator (S/FI) hybrid structure formed on the 3D topological insulator (TI) surface. In this case three ingredients insure the possibility of the odd-frequency pairing: 1) the topological surface states, 2) the induced pair potential, and 3) the magnetic moment of a nearby ferromagnetic insulator. We take into account the strong anisotropy of the Dirac cone in topological insulators when the chemical potential lies well above the Dirac cone and its constant energy contour has a snowflake shape. Within this model, we propose that the S/FI boundary should be properly aligned with respect to the snowflake constant energy contour to have an odd-frequency symmetry of the corresponding pairing component and to insure the Majorana bound state at the S/FI boundary. For arbitrary orientation of the boundary the Majorana bound state is absent. This provides a selection rule to the realization of Majorana modes in S/FI hybrid structures, formed on the topological insulator surface.

7 pages, 2 figures

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Cited by in corpus (8)

• Transport in two-dimensional topological materials: recent developments in experiment and theory
• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Spontaneous supercurrent and $\varphi$0 phase shift parallel to magnetized topological insulator interfaces
• Dirty two-band superconductivity with interband pairing order
• Green function theory of dirty two-band superconductivity
• Generation of polarized spin-triplet Cooper pairings by magnetic barriers in superconducting junctions
• Probing the magnetoelectric effect in noncentrosymmetric superconductors by equal-spin Andreev tunneling
• Theory of Josephson Current on a Magnetically Doped Topological Insulator