Compact localized boundary states in a quasi-1D electronic diamond-necklace chain

Abstract

Zero-energy modes localized at the ends of one-dimensional (1D) wires hold great potential as qubits for fault-tolerant quantum computing. However, all the candidates known to date exhibit a wave function that decays exponentially into the bulk and hybridizes with other nearby zero-modes, thus hampering their use for braiding operations. Here, we show that a quasi-1D diamond-necklace chain exhibits a completely unforeseen type of robust boundary state, namely compact localized zero-energy modes that do not decay into the bulk. We theoretically engineer a lattice geometry to access this mode, and experimentally realize it in an electronic quantum simulator setup. Our work provides a general route for the realization of robust and compact localized zero-energy modes that could potentially be braided without the drawbacks of hybridization.

arXiv comment15 pages, 5 figures

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• Topological edge and corner states in Bi fractals on InSb
• Observation of topologically distinct corner states in "bearded" photonic Kagome lattices
• Local Hilbert space fragmentation and weak thermalization in Bose-Hubbard diamond necklaces
• Spectral Properties of Two Coupled Fibonacci Chains
• Implementation and characterization of the dice lattice in the electron quantum simulator
• The Fractal-Lattice Hubbard Model
• Hidden topology in flat-band topological insulators: Strong, weak and square-root topological states
• Weak-coupling bound states in semi-infinite topological waveguide QED
• Proximity-induced flat bands and topological properties in a decorated diamond chain