Interplay between Superconductivity and Ferromagnetism on a Topological Insulator

Abstract

We study theoretically proximity-induced superconductivity and ferromagnetism on the surface of a topological insulator. In particular, we investigate how the Andreev-bound states are influenced by the interplay between these phenomena, taking also into account the possibility of unconventional pairing. We find a qualitative difference in the excitation spectrum when comparing spin-singlet and spin-triplet pairing, leading to non-gapped excitations in the latter case. The formation of surface-states and their dependence on the magnetization orientation is investigated, and it is found that these states are Majorana fermions in the $d_{xy}$-wave case in stark contrast to the topologically trivial high-$T_c$ cuprates. The signature of such states in the conductance spectra is studied, and we also compute the supercurrent which flows on the surface of the topological insulator when a Josephson junction is deposited on top of it. It is found that the current exhibits an anomalous current-phase relation when the region separating the superconducting banks is ferromagnetic, and we also show that in contrast to the metallic case the exchange field in such a scenario does not induce 0-$\pi$ oscillations in the critical current. Similarly to the high-$T_c$ cuprates, the presence of zero-energy surface states on the topological surface leads to a strong low-temperature enhancement of the critical current.

12 pages, 11 figures.

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Cited by in corpus (79)

• Topological insulators and superconductors
• New directions in the pursuit of Majorana fermions in solid state systems
• Dirac materials
• Symmetry and Topology in Superconductors - Odd-frequency pairing and edge states -
• Topology of Andreev Bound States with Flat Dispersion
• Two-dimensional surface charge transport in topological insulators
• Transport in two-dimensional topological materials: recent developments in experiment and theory
• Surface density of states and topological edge states in non-centrosymmetric superconductors
• Proximity-induced unconventional superconductivity in topological insulators
• Superconducting Proximity Effect in Silicene: Spin-Valley Polarized Andreev Reflection, Non-Local Transport, and Supercurrent
• Theory of diode effect in d-wave superconductor junctions on the surface of topological insulator
• Spin-helical transport in normal and superconducting topological insulators
• Proximity-induced Josephson $\pi$-Junctions in Topological Insulators
• 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
• Spin Supercurrent, Magnetization Dynamics, and Phi-State in Spin-Textured Josephson Junctions
• Anomalous Josephson effect in semiconducting nanowires as a signature of the topologically nontrivial phase
• Current induced magnetization reversal on the surface of a topological insulator
• Andreev bound states and current-phase relations in three-dimensional topological insulators
• Spintronics and spincaloritronics in topological insulators
• Josephson and proximity effects on the surface of a topological insulator
• Junction between surfaces of two topological insulators
• Current-phase relation for Josephson effect through helical metal
• Time reversal invariant topological superconductivity in correlated non-centrosymmetric systems
• Magnetoelectric effects in Josephson junctions
• Suppression of surface p-wave superconductivity in disordered topological insulators
• Microscopic simulation of superconductor-topological insulator proximity structures
• General conditions for proximity-induced odd-frequency superconductivity in two-dimensional electronic systems
• Anomalous interference in Aharonov-Bohm rings with two Majorana bound states
• Anomalous Josephson effect in d-wave superconductor junctions on TI surface
• Topological superconductivity and Majorana fermions in hybrid structures involving cuprate high-T_c superconductors
• Spin diffusion and magnetoresistance in ferromagnet/topological-insulator junctions
• Electrical control of magnetization in S/F/S junctions on a 3D topological insulator
• Tunable Supercurrent at the Charge Neutrality Point via Strained Graphene Junctions
• Quasiclassical theory for the superconducting proximity effect in Dirac materials
• Magnetic order on a topological insulator surface with warping and proximity-induced superconductivity
• Phase-manipulation-induced Majorana Mode and Braiding Realization in Iron-based Superconductor Fe(Te,Se)
• Observability of surface Andreev bound states in a topological insulator in proximity to an s-wave superconductor
• In-Plane Magnetoresistance on the Surface of Topological Insulator
• Finite Size Effects of the Surface States in a Lattice Model of Topological Insulator
• Tunneling spectroscopy and Josephson current of superconductor-ferromagnet hybrids on the surface of a 3D TI
• Transport properties of spin-triplet superconducting monolayer $Mo{S}_2$
• Majorana fermions manifested as interface-states in semiconductor hybrid structures
• Anomalous Josephson effect in planar noncentrosymmetric superconducting devices
• Josephson effect in normal and ferromagnetic topological insulator planar, step and edge junctions
• Gapped superconductivity with all symmetries in InSb (110) quantum wells in proximity to s-wave superconductor in Fulde-Ferrell-Larkin-Ovchinnikov phase or with a supercurrent
• Effect of a spin-active interface on proximity-induced superconductivity in topological insulators
• Anomalous Proximity Effect of Planer Topological Josephson Junctions
• Controversy over large proximity induced s wave like pairing from a d wave superconductor
• Spin-switch Josephson junctions with magnetically tunable $\sin (\delta \phi /n)$ shape
• Inverse proximity effect in $s$-wave and $d$-wave superconductors coupled to topological insulators
• Long-range interaction of magnetic moments in a coupled system of S/F/S Josephson junctions with anomalous ground-state phase shift
• Charge transfer statistics of transport through Majorana bound states
• Rotational symmetry breaking and partial Majorana corner states in a high-Tc superconductor based heterostructure
• Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping
• Electrical response of S-F-TI-S junctions on magnetic texture dynamics
• Conduction spectroscopy of a proximity induced superconducting topological insulator
• Planar Josephson Hall effect in topological Josephson junctions
• Controllable magnetic states in chains of coupled phi-0 Josephson junctions with ferromagnetic weak links
• Tunability of Andreev levels via spin-orbit coupling in Zeeman-split Josephson junctions
• 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
• Proximity induced ferromagnetism, superconductivity, and finite-size effects on the surface and edge states of topological insulator nanostructures
• Proximity-Induced Superconductivity at Non-Helical Topological Insulator Interfaces
• Magnetic eigenmodes in chains of coupled phi0-Josephson junctions with ferromagnetic weak links
• Low temperature thermal transport at the interface of a topological insulator and a d-wave superconductor
• Current--phase relation in a topological Josephson junction: Andreev bands vs. scattering states
• Buzdin, Shapiro and Chimera Steps in ${\phi }_0$ Josephson Junctions. II. Bifurcation, Switching, and Hysteresis
• Effect of Rashba spin-orbit coupling, magnetization and mixing of gap parameter on tunnelling conductance in F$|$NCSC junction of an F$|$S$|$F spin valve
• Dominant Majorana bound energy and critical current enhancement in ferromagnetic-superconducting topological insulator
• Asymmetric $d$-wave superconducting topological insulator in proximity with a magnetic order
• Theory of Josephson Current on a Magnetically Doped Topological Insulator
• A Green's function approach to Topological Insulator junctions with magnetic and superconducting regions
• AC anomalous Hall effect in topological insulator Josephson junctions
• Anisotropic angle-dependent Andreev reflection at the ferromagnet/superconductor junction on the surface of topological insulators
• Originality of resonance and locking phenomena in SFS ${\phi }_0$ Josephson junction
• Long-range Cooper pair splitting by chiral Majorana edge states
• Anomalous phase shift and superconducting diode effect in Josephson junctions via thin films of rare-earth intermetallic magnets