Two-dimensional Shiba lattices as possible platform for crystalline topological superconductivity

Abstract

Localized or propagating Majorana boundary modes are the key feature of topological superconductors. They are rare in naturally-occurring compounds, but the tailored manipulation of quantum matter offers opportunities for their realization. Specifically, lattices of Yu-Shiba-Rusinov bound states $-$ Shiba lattices $-$ that arise when magnetic adatoms are placed on the surface of a conventional superconductor can be used to create topological bands within the superconducting gap of the substrate. Here, using scanning tunnelling microscopy to create and probe adatom lattices with single atom precision we reveal two signatures consistent with the realization of two types of mirror symmetry protected topological superconductors. The first has edge modes as well as higher-order corner states, and the second has symmetry-protected bulk nodal points. In principle, their topological character and boundary modes should be protected by the spatial symmetries of the adatom lattice. Our results highlight the potential of Shiba lattices as a platform to design the topology and sample geometry of 2D superconductors.

Published in Nature Physics (https://doi.org/10.1038/s41567-023-02104-5)

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• Floquet second-order topological Anderson insulator hosting corner localized modes
• Wave-function engineering on superconducting substrates: Chiral Yu-Shiba-Rusinov molecules
• Observation of Yu-Shiba-Rusinov-like states at the edge of CrBr3/NbSe2 heterostructure
• Topological meron-antimeron domain walls and skyrmions in a low-symmetry system
• Spin Excitations of High Spin Iron(II) in Metal-Organic Chains on Metal and Superconductor
• Emergence of Exotic Spin Texture in Supramolecular Metal Complexes on a 2D Superconductor
• Predicting topological invariants and unconventional superconducting pairing from density of states and machine learning
• Gate-tunable topological superconductivity in a supramolecular electron spin lattice
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• Diluted Yu-Shiba-Rusinov arrays on the $\beta$-Bi${}_2$Pd anisotropic superconductor
• Family of Aperiodic Tilings with Tunable Quantum Geometric Tensor
• Magnetic flux induced topological superconductivity in magnetic atomic rings
• Anisotropy of Yu-Shiba-Rusinov states in NbSe${}_2$
• Magnetic flux induced higher-order topological superconductivity
• Charge-density-wave control by adatom manipulation and its effect on magnetic nanostructures
• Josephson junction arrays as a platform for topological phases of matter
• Signatures of Amorphous Shiba State in FeTe${}_{0.55}$Se${}_{0.45}$
• Universal quantum control over Majorana zero modes
• Interacting Crystalline Topological Insulators in two-dimensions with Time-Reversal Symmetry
• Sensing the binding and unbinding of anyons at impurities
• Scanning tunneling microscopy study of helimagnetic monolayer CrBr2 on s-wave superconductor NbSe2: a topologically trivial system due to weak interfacial coupling
• Dimensional crossover of class D real-space topological invariants
• The Non-collinear Path to Topological Superconductivity
• Topological superconductivity and superconducting diode effect mediated via unconventional magnet and Ising spin-orbit coupling