Multiple odd-frequency superconducting states in buckled quantum spin Hall insulators with time-reversal symmetry

Abstract

We consider a buckled quantum spin Hall insulator (QSHI), such as silicene, proximity-coupled to a conventional spin-singlet, s-wave superconductor. Even limiting the discussion to the disorder-robust s-wave pairing symmetry, we find both odd-frequency ($\omega$), spin-singlet and spin-triplet pair amplitudes and where both preserve time-reversal symmetry. Our results show that there are two unrelated mechanisms generating these different odd-$\omega$ pair amplitudes. The spin-singlet state is due to the strong inter-orbital processes present in the QSHI. It is exists generically at the edges of the QSHI, but also in the bulk in heavily doped regime if an electric field is applied. The spin-triplet state requires a finite gradient in the proximity-induced superconducting order along the edge, which we find is automatically generated at the atomic scale for armchair edges but not at zigzag edges. In combination these results make superconducting QSHIs a very exciting venue for investigating not only the existence of odd-$\omega$ superconductivity, but also the interplay between different odd-$\omega$ states.

12 pages, 11 figures

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Cited by in corpus (25)

• Odd-frequency superconductivity
• Odd-frequency superconducting pairing in one-dimensional systems
• Theory of Majorana zero modes in unconventional superconductors
• The Role of Odd-Frequency Pairing in Multiband Superconductors
• Odd-frequency superconducting pairing in junctions with Rashba spin-orbit coupling
• Odd-frequency superconductivity and Meissner effect in the doped topological insulator Bi${}_2$Se${}_3$
• Odd-frequency superconducting pairing in Kitaev-based junctions
• Signature of odd-frequency equal-spin triplet pairing in the Josephson current on the surface of Weyl nodal loop semimetals
• Van der Waals heterostructures with spin-orbit coupling
• Bulk odd-frequency pairing in the superconducting Su-Schrieffer-Heeger model
• Finite bulk Josephson currents and chirality blockade removal from inter-orbital pairing in magnetic Weyl semimetals
• Theory of proximity effect in two-dimensional unconventional superconductor with Rashba spin-orbit interaction
• Odd-frequency pair density wave correlations in underdoped cuprates
• Exciting odd frequency equal-spin-triplet correlations at metal-superconductor interfaces
• Edge-induced pairing states in a Josephson junction through a spin-polarized quantum anomalous Hall insulator
• Induced odd-frequency superconducting state in vertex-corrected Eliashberg theory
• Local density of states in two-dimensional topological superconductors under a magnetic field: signature of an exterior Majorana bound state
• Odd-frequency superconductivity induced by non-magnetic impurities
• Odd-frequency superconducting pairing due to multiple Majorana edge modes in driven topological superconductors
• Signatures of odd-frequency pairing in the Josephson junction current noise
• Gap oscillations and Majorana bound states in magnetic chains on superconducting honeycomb lattices
• Odd-frequency pairing in a superconductor coupled to two parallel nanowires
• Ferroelectricity-induced multiorbital odd-frequency superconductivity in SrTiO${}_3$
• Odd-frequency pairing and time-reversal symmetry breaking for repulsive interactions
• Identification of odd-frequency superconducting pairing in Josephson junctions