Topological superconductivity and unconventional pairing in oxide interfaces

Abstract

To pinpoint the microscopic mechanism for superconductivity has proven to be one of the most outstanding challenges in the physics of correlated quantum matter. Thus far, the most direct evidence for an electronic pairing mechanism is the observation of a new symmetry of the order-parameter, as done in the cuprate high-temperature superconductors. Like distinctions based on the symmetry of a locally defined order-parameter, global, topological invariants allow for a sharp discrimination between states of matter that cannot be transformed into each other adiabatically. Here we propose an unconventional pairing state for the electron fluid in two-dimensional oxide interfaces and establish a direct link to the emergence of nontrivial topological invariants. Topological superconductivity and Majorana edge states can then be used to detect the microscopic origin for superconductivity. In addition, we show that also the density wave states that compete with superconductivity sensitively depend on the nature of the pairing interaction. Our conclusion is based on the special role played by the spin-orbit coupling and the shape of the Fermi surface in SrTiO${}_3$/LaAlO${}_3$-interfaces and closely related systems.

arXiv comment17 pages, 6 figures

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• Discovery of two-dimensional anisotropic superconductivity at KTaO${}_3$ (111) interfaces
• Two-dimensional superconductivity at the surfaces of KTaO3 gated with ionic liquid
• Superconductivity in dilute SrTiO${}_3$: a review
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• First- and Second-Order Topological Superconductivity and Temperature-Driven Topological Phase Transitions in the Extended Hubbard Model with Spin-Orbit Coupling
• Quantum-Matter Heterostructures
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• Order-Disorder Ferroelectric Transition of Strained SrTiO3
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• Observation of Quantum Griffiths Singularity and Ferromagnetism at Superconducting LaAlO3/SrTiO3(110) Interface
• When Superconductivity Crosses Over: From BCS to BEC
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• Topological phase transitions in multi-component superconductors
• Unconventional multi-band superconductivity in bulk SrTiO${}_3$ and LaAlO${}_3$/SrTiO${}_3$ interfaces
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• Topological superconductivity in quasicrystals
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• Selection rules for Cooper pairing in two-dimensional interfaces and sheets
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• Route to Topological Superconductivity via Magnetic Field Rotation
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• In-gap features in superconducting LaAlO${}_3$-SrTiO${}_3$ interfaces observed by tunneling spectroscopy
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• Modulation of the superconducting critical temperature due to quantum confinement at the LaAlO${}_3$/SrTiO${}_3$ interface
• Time-reversal symmetry breaking and multigap superconductivity in the noncentrosymmetric superconductor La${}_7$Ni${}_3$
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• Spectroscopic Signatures of Gate-Controlled Superconducting Phases
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• Supercurrent rectification with time-reversal symmetry broken multiband superconductors
• Anomalous superconducting diode effect in a polar superconductor
• Pair breaking in multi-orbital superconductors: an application to oxide interfaces
• A combined method for synthesis of superconducting Cu doped Bi2Se3
• Quasiparticle interference on cubic perovskite oxide surfaces
• The Triplet Resonating Valence Bond State and Superconductivity in Hund's Metals
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• Gate-tunable hallmarks of unconventional superconductivity in non-centrosymmetric nanowires
• Multi-band theory of superconductivity at the LaAlO${}_3$/SrTiO${}_3$ interface
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• Impact of topology on the impurity effects in extended $s$-wave superconductors with spin-orbit coupling
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• Magneto-topological transitions in multicomponent superconductors
• Strongly enhanced Rashba splittings in oxide heterostructure: a tantalite monolayer on BaHfO${}_3$
• Hallmarks of non-trivial topology in Josephson junctions based on oxide nanochannels
• Topological Superconductivity in Multifold Fermion Metals
• The mechanism of spin-orbit coupling in a 2D oxide interface
• Anomalous Josephson Coupling and High-Harmonics in Non-Centrosymmetric Superconductors with $S$-wave Spin-Triplet Pairing
• Competing superconducting phases in interacting two-dimensional electron gas with strong Rashba spin-orbit coupling
• Catalogue of Andreev spectra and Josephson effects in structures with time-reversal-invariant topological superconductor wires
• Self-consistent study of Abelian and non-Abelian order in a two-dimensional topological superconductor
• Dislocation Majorana zero modes in perovskite oxide 2DEG
• Proximity induced time-reversal topological superconductivity in Bi2Se3 films without phase tuning
• Friedel oscillations and Majorana zero modes in inhomogeneous superconductors
• Theory of Multi-Orbital Topological Superconductivity in Transition Metal Dichalcogenides
• Quantized critical supercurrent in SrTiO${}_3$-based quantum point contacts
• Post-quench gap dynamics of two-band superconductors
• Spin-Orbital Hallmarks of Unconventional Superconductors Without Inversion Symmetry
• Interplay between singlet and triplet pairings in multi-band two-dimensional oxide superconductors
• Superconducting tunneling spectroscopy of spin-orbit coupling and orbital depairing in Nb:SrTiO${}_3$
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• Frustration driven Josephson phase dynamics
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