Odd-Frequency Triplet Superconductivity at the Helical Edge of a Toplogical Insulator

Abstract

Non-local pairing processes at the edge of a two-dimensional topological insulator in proximity to an $s$-wave superconductor are usually suppressed by helicity. However, additional proximity of a ferromagnetic insulator can substantially influence the helical constraint and therefore open a new conduction channel by allowing for crossed Andreev reflection (CAR) processes. We show a one-to-one correspondence between CAR and the emergence of odd-frequency triplet superconductivity. Hence, non-local transport experiments that identify CAR in helical liquids yield smoking-gun evidence for unconventional superconductivity. Interestingly, we identify a setup -- composed of a superconductor flanked by two ferromagnetic insulators -- that allows us to favor CAR over electron cotunneling which is known to be a difficult but essential task to be able to measure CAR.

4 pages + supplementary material, 3 figures. Corresponds to version published in PRB Rapid Communications

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Cited by in corpus (71)

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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
• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
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• Tunable hybridization of Majorana bound states at the quantum spin Hall edge
• Helical Liquids in Semiconductors
• Exceptional odd-frequency pairing in non-Hermitian superconducting systems
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• Creation of spin-triplet Cooper pairs in the absence of magnetic ordering
• The Majorana STM as a perfect detector of odd-frequency superconductivity
• Odd-frequency pairing and Kerr effect in the heavy-fermion superconductor UPt${}_3$
• Odd-Frequency Pairs in Chiral Symmetric Systems: Spectral Bulk-Boundary Correspondence and Topological Criticality
• Superconductivity in spin-$3/2$ systems: symmetry classification, odd-frequency pairs, and Bogoliubov Fermi surfaces
• Odd-frequency Superconductivity in Driven Systems
• From fractional solitons to Majorana fermions in a paradigmatic model of topological superconductivity
• Odd-frequency superconducting pairing in Kitaev-based junctions
• All-electrical generation and control of odd-frequency s-wave Cooper pairs in double quantum dots
• Floquet engineering bulk odd-frequency superconducting pairs
• On-demand thermoelectric generation of equal-spin Cooper pairs
• Signature of odd-frequency equal-spin triplet pairing in the Josephson current on the surface of Weyl nodal loop semimetals
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• Van der Waals heterostructures with spin-orbit coupling
• Bulk odd-frequency pairing in the superconducting Su-Schrieffer-Heeger model
• Subgap states in two dimensional spectroscopy of unconventional superconductors using graphene
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Phase-tunable electron transport assisted by odd-frequency Cooper pairs in topological Josephson junctions
• Crossed Andreev reflection in collinear $p$-wave magnet/triplet superconductor junctions
• Manipulation of Cooper pair entanglement in hybrid topological Josephson junctions
• Electron waiting times in hybrid junctions with topological superconductors
• Odd-frequency pair density wave correlations in underdoped cuprates
• Spin-Pairing Correlations and Spin Polarization of Majorana Bound States in Two-Dimensional Topological Insulator Systems
• Controllable odd-frequency Cooper pairs in multi-superconductor Josephson junctions
• Thermoelectric detection of Andreev states in unconventional superconductors
• Anomalous Nonlocal Conductance as a Fingerprint of Chiral Majorana Edge States
• Dirac point formation revealed by Andreev tunneling in superlattice-graphene/superconductor junctions
• Crossed Andreev reflection in topological insulator nanowire T-junctions
• Thermodynamics in topological Josephson junctions
• Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
• Moving Majorana bound states between distinct helical edges across a quantum point contact
• The invisible Majorana bound state at the helical edge
• 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
• Nonlocality of Majorana bound states revealed by electron waiting times in a topological Andreev interferometer
• Light-induced Floquet spin-triplet Cooper pairs in unconventional magnets
• Identifying Majorana bound states at quantum spin Hall edges using a metallic probe
• Odd-frequency Pairing in the Edge States of Superconducting Pnictides in the Coexistence Phase with Antiferromagnetism
• Dominant Majorana bound energy and critical current enhancement in ferromagnetic-superconducting topological insulator
• Interaction effects in superconductor/quantum spin Hall devices: universal transport signatures and fractional Coulomb blockade
• Theory of Josephson Current on a Magnetically Doped Topological Insulator
• Correlation and current anomalies in helical quantum dots
• Odd-frequency pairs and anomalous proximity effect in nematic and chiral states of superconducting topological insulators
• Spin Signature of Majorana Fermions in Topological Nodal-Point Superconductors
• Phase-tunable multiple Andreev reflections in a quantum spin Hall strip
• Non-Hermitian Josephson junctions with four Majorana zero modes
• Study on Green's function on TI surface
• Surface induced odd-frequency spin-triplet superconductivity as a veritable signature of Majorana bound states
• Finite-momentum mixed singlet-triplet pairing in chiral antiferromagnets induced by even-parity spin texture
• Spin-Valley Locking and Pure Spin-Triplet Superconductivity in Noncollinear Antiferromagnets Proximitized to Conventional Superconductors
• Odd-frequency Pairing in Josephson Junctions Coupled by Magnetic Textures
• Identification of odd-frequency superconducting pairing in Josephson junctions