Andreev bound states and current-phase relations in three-dimensional topological insulators

Abstract

To guide the search for the Majorana fermion, we theoretically study superconductor/topological/superconductor (S/TI/S) junctions in an experimentally relevant regime. We find that the striking features present in these systems, including the doubled periodicity of the Andreev bound states (ABSs) due to tunneling via Majorana states, can still be present at high electron densities. We show that via the inclusion of magnetic layers, this 4pi periodic ABS can still be observed in three-dimensional topological insulators, where finite angle incidence usually results in the opening of a gap at zero energy and hence results in a 2pi periodic ABS. Furthermore, we study the Josephson junction characteristics and find that the gap size can be controlled and decreased by tuning the magnetization direction and amplitude. These findings pave the way for designing experiments on S/3DTI/S junctions.

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• Transport in two-dimensional topological materials: recent developments in experiment and theory
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• Evidence for an anomalous current phase relation in topological insulator Josephson junctions
• $4\pi$ periodic Andreev bound states in a Dirac semimetal
• Superconducting proximity effect in three-dimensional topological insulators in the presence of a magnetic field
• Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions
• Influence of Topological Edge States on the Properties of Al/Bi2Se3/Al Hybrid Josephson Devices
• Anomalous Fraunhofer patterns in gated Josephson junctions based on the bulk-insulating topological insulator BiSbTeSe2
• Joule overheating poisons the fractional ac Josephson effect in topological Josephson junctions
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• Topological superconductivity and Majorana states in low-dimensional systems
• Differentiating Majorana from Andreev Bound States in a Superconducting Circuit
• Josephson supercurrent in a topological insulator without a bulk shunt
• Quantum Transport and Potential of Topological States for Thermoelectricity in Bi${}_2$Te${}_3$ Thin Films
• Majorana-Josephson Interferometer
• Observability of surface Andreev bound states in a topological insulator in proximity to an s-wave superconductor
• High transparency Bi2Se3 topological insulator nanoribbon Josephson junctions with low resistive noise properties
• Tunneling spectroscopy and Josephson current of superconductor-ferromagnet hybrids on the surface of a 3D TI
• Nonlocal thermoelectric engines in hybrid topological Josephson junctions
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• Dominant $s$-wave superconducting gap in PdTe${}_2$ observed by tunneling spectroscopy on side-junctions
• Pulsed Laser Deposition of High-Quality Thin Films of the Insulating Ferromagnet EuS
• Geometric dependence of Nb-Bi${}_2$Te${}_3$-Nb topological Josephson junction transport parameters
• Planar Josephson Hall effect in topological Josephson junctions
• Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping
• Signature of Anomalous Andreev bound states in magnetic Josephson junction of noncentrosymmetric superconductor on a topological insulator
• Spin-triplet $f$-wave symmetry in superconducting monolayer $Mo{S}_2$
• Novel Majorana mode and magnetoresistance in ferromagnetic superconducting topological insulator
• Current--phase relation in a topological Josephson junction: Andreev bands vs. scattering states
• Asymmetric $d$-wave superconducting topological insulator in proximity with a magnetic order
• Dominant Majorana bound energy and critical current enhancement in ferromagnetic-superconducting topological insulator
• Current-phase relation of a short multi-mode Bi2Se3 topological insulator nanoribbon Josephson junction with ballistic transport modes
• A Green's function approach to Topological Insulator junctions with magnetic and superconducting regions