Josephson and proximity effects on the surface of a topological insulator

Abstract

We investigate Josephson and proximity effects on the surface of a topological insulator on which superconductors and a ferromagnet are deposited. The superconducting regions are described by the conventional BCS Hamiltonian, rather than the superconducting Dirac Hamiltonian. Junction interfaces are assumed to be dirty. We obtain analytical expressions of the Josephson current and the proximity-induced anomalous Green's function on the topological insulator. The dependence of the Josephson effect on the junction length, the temperature, the chemical potential and the magnetization is discussed. It is also shown that the proximity-induced pairing on the surface of a topological insulator includes even and odd frequency triplet pairings as well as a conventional s-wave one.

7 pages, 5 figures

References in corpus (7)

• Superconducting proximity effect and Majorana fermions at the surface of a topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• Gate-Voltage Control of Chemical Potential and Weak Anti-localization in Bismuth Selenide
• Electrically detected interferometry of Majorana fermions in a topological insulator
• Proximity effect at the superconductor - topological insulator interface
• Role of magnetic scattering in 0-pi transitions in a superconductor/ferromagnetic metal/superconductor junction

Cited by in corpus (39)

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• Transport in two-dimensional topological materials: recent developments in experiment and theory
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• Theory of Majorana zero modes in unconventional superconductors
• Superconducting proximity effect in three-dimensional topological insulators in the presence of a magnetic field
• Odd-Frequency Triplet Superconductivity at the Helical Edge of a Toplogical Insulator
• Helical Andreev bound states and superconducting Klein tunneling in topological insulator Josephson junctions
• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Spintronics and spincaloritronics in topological insulators
• Proximity-Induced Odd-Frequency Superconductivity in a Topological Insulator
• Current-phase relation for Josephson effect through helical metal
• Creation of spin-triplet Cooper pairs in the absence of magnetic ordering
• Odd-frequency pairing and Kerr effect in the heavy-fermion superconductor UPt${}_3$
• Suppression of surface p-wave superconductivity in disordered topological insulators
• General conditions for proximity-induced odd-frequency superconductivity in two-dimensional electronic systems
• Odd-frequency Superconductivity in Driven Systems
• Unconventional proximity-induced superconductivity in bilayer systems
• Magnetoelectric Andreev effect due to proximity-induced non-unitary triplet superconductivity in helical metals
• Spin diffusion and magnetoresistance in ferromagnet/topological-insulator junctions
• All-electrical generation and control of odd-frequency s-wave Cooper pairs in double quantum dots
• Quasiclassical theory for the superconducting proximity effect in Dirac materials
• Pair symmetry conversion in driven multiband superconductors
• Current fluctuations in unconventional superconductor junctions with impurity scattering
• Anomalous Josephson current in superconducting topological insulator
• Tunneling spectroscopy and Josephson current of superconductor-ferromagnet hybrids on the surface of a 3D TI
• Effect of a spin-active interface on proximity-induced superconductivity in topological insulators
• Inverse proximity effect in $s$-wave and $d$-wave superconductors coupled to topological insulators
• Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
• Generation of polarized spin-triplet Cooper pairings by magnetic barriers in superconducting junctions
• Odd-frequency superconductivity induced by non-magnetic impurities
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Odd-frequency pairing in a superconductor coupled to two parallel nanowires
• Unusual Superconducting Proximity Effect in Magnetically Doped Topological Josephson Junctions
• Probing the magnetoelectric effect in noncentrosymmetric superconductors by equal-spin Andreev tunneling
• Theory of Josephson Current on a Magnetically Doped Topological Insulator
• Effects of spin orbit coupling on proximity induced superconductivity
• A Green's function approach to Topological Insulator junctions with magnetic and superconducting regions