Superconducting proximity effect in three-dimensional topological insulators in the presence of a magnetic field

Abstract

The proximity induced pair potential in a topological insulator-superconductor hybrid features an interesting superposition of a conventional spin-singlet component from the superconductor and a spin-triplet one induced by the surface state of the topological insulator. This singlet-triplet superposition can be altered by the presence of a magnetic field. We study the interplay between topological order and superconducting correlations performing a symmetry analysis of the induced pair potential, using Green functions techniques to theoretically describe ballistic junctions between superconductors and topological insulators under magnetic fields. We relate a change in the conductance from a gapped profile into one with a zero-energy peak with the transition into a topologically nontrivial regime where the odd-frequency triplet pairing becomes the dominant component in the pair potential. The nontrivial regime, which provides a signature of odd-frequency triplet superconductivity, is reached for an out-of-plane effective magnetization with strength comparable to the chemical potential of the superconductor or for an in-plane one, parallel to the normal-superconductor interface, with strength of the order of the superconducting gap. Strikingly, in the latter case, a misalignment with the interface yields an asymmetry with the energy in the conductance unless the total contribution of the topological surface state is considered.

15 pages, 6 figures

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• Zeeman-Induced Gapless Superconductivity with Partial Fermi Surface
• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Spontaneous supercurrent and $\varphi$0 phase shift parallel to magnetized topological insulator interfaces
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
• Josephson effect and odd-frequency pairing in superconducting junctions with unconventional magnets
• Tunable hybridization of Majorana bound states at the quantum spin Hall edge
• Creation of spin-triplet Cooper pairs in the absence of magnetic ordering
• Inter-orbital topological superconductivity in spin-orbit coupled superconductors with inversion symmetry breaking
• Transport spectroscopy of induced superconductivity in the three-dimensional topological insulator HgTe
• All-electrical generation and control of odd-frequency s-wave Cooper pairs in double quantum dots
• Odd-frequency superconducting pairing in Kitaev-based junctions
• Current fluctuations in unconventional superconductor junctions with impurity scattering
• Disorder-robust $p$-wave pairing with odd frequency dependence in normal metal-conventional superconductor junctions
• Subgap states in two dimensional spectroscopy of unconventional superconductors using graphene
• Andreev Reflection Spectroscopy of Topological Superconductor Candidate Nb${}_x$Bi${}_2$Se${}_3$
• Phase-tunable electron transport assisted by odd-frequency Cooper pairs in topological Josephson junctions
• Equal-Spin Andreev Reflection in Junctions of Spin-Resolved Quantum Hall Bulk State and Spin-Singlet Superconductor
• Odd-frequency pair density wave correlations in underdoped cuprates
• Electrically controllable spin filtering based on superconducting helical states
• Signatures of Majorana bound states and parity effects in two-dimensional chiral p-wave Josephson junctions
• Superconducting proximity effect in $d$-wave cuprate/ graphene heterostructures
• Thermoelectric detection of Andreev states in unconventional superconductors
• Nonreciprocal superconductivity
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Exciting odd frequency equal-spin-triplet correlations at metal-superconductor interfaces
• Fulde-Ferrell States in Inverse Proximity Coupled Magnetically-Doped Topological Heterostructures
• Influence of a chiral chemical potential on Weyl hybrid junctions
• Dirac point formation revealed by Andreev tunneling in superlattice-graphene/superconductor junctions
• Odd-frequency superconductivity induced in topological insulators with and without hexagonal warping
• Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
• Planar Josephson Hall effect in topological Josephson junctions
• Surface density of states and tunneling spectroscopy of a spin-3/2 superconductor with Bogoliubov Fermi Surfaces
• Discovery of highly spin-polarized conducting surface states in the strong spin-orbit coupling semiconductor Sb${}_2$Se${}_3$
• Generation of polarized spin-triplet Cooper pairings by magnetic barriers in superconducting junctions
• Thermoelectric processes of quantum normal-superconductor interfaces
• Proximity-induced gapless superconductivity in two-dimensional Rashba semiconductor in magnetic field
• Reentrant superconductivity in proximity to a topological insulator
• Spin-triplet $f$-wave symmetry in superconducting monolayer $Mo{S}_2$
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Novel Majorana mode and magnetoresistance in ferromagnetic superconducting topological insulator
• Tunneling conductance in superconducting junctions with $p$-wave unconventional magnets breaking time-reversal symmetry
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Identifying Majorana bound states at quantum spin Hall edges using a metallic probe
• Unusual Superconducting Proximity Effect in Magnetically Doped Topological Josephson Junctions
• Reentrant proximity-induced superconductivity for GeTe semimetal
• Asymmetric $d$-wave superconducting topological insulator in proximity with a magnetic order
• Theory of Josephson Current on a Magnetically Doped Topological Insulator
• Dominant Majorana bound energy and critical current enhancement in ferromagnetic-superconducting topological insulator
• A Green's function approach to Topological Insulator junctions with magnetic and superconducting regions
• Engineering subgap states in superconductors by the symmetry of altermagnetism
• Surface induced odd-frequency spin-triplet superconductivity as a veritable signature of Majorana bound states
• Optical conductivity of the Majorana mode at the s- and d-wave topological superconductor edge
• Odd-frequency pairing of Bogoliubov quasiparticles in superconductor junction
• Confinement-induced zero-bias peaks in conventional superconductor hybrids
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
• Super-resonant transport of topological surface states subjected to in-plane magnetic fields
• Thermoelectric effect in a superconductor with Bogoliubov Fermi surfaces
• Identification of odd-frequency superconducting pairing in Josephson junctions