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

• URL: http://arxiv.org/abs/2201.02012v2
• Date: Wed, 11 Oct 2023 12:06:40 GMT
• Title: Compact localized boundary states in a quasi-1D electronic diamond-necklace chain
• Authors: S. N. Kempkes (1), P. Capiod (2,3), S. Ismaili (1), J. Mulkens (2), L. Eek (1), I. Swart (2), C. Morais Smith (1) ((1) Institute for Theoretical Physics, Utrecht University, Netherlands, (2) Debye Institute for Nanomaterials Science, Utrecht University, Netherlands, (3) Junia-ISEN, Lille, France)
• Abstract summary: We show that a quasi-1D diamond-necklace chain exhibits a completely unforeseen type of robust boundary state. We theoretically engineer a lattice geometry to access this mode, and experimentally realize it in an electronic quantum simulator setup.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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