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

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          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 an unforeseen type of robust boundary state, namely compact localized zero-energy modes that do not decay into the bulk. We find that this state emerges due to the presence of a latent symmetry in the system. We experimentally realize the diamond-necklace chain in an electronic quantum simulator setup.

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          Colloquium: Topological insulators

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            Topological insulators and superconductors

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              Unpaired Majorana fermions in quantum wires

              A. Kitaev (2001)
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                Author and article information

                Contributors
                i.swart@uu.nl
                C.deMoraisSmith@uu.nl
                Journal
                Quantum Front
                Quantum Front
                Quantum Frontiers
                Springer Nature Singapore (Singapore )
                2731-6106
                28 February 2023
                28 February 2023
                2023
                : 2
                : 1
                : 1
                Affiliations
                [1 ]GRID grid.5477.1, ISNI 0000000120346234, Institute for Theoretical Physics, , Utrecht University, ; Utrecht, The Netherlands
                [2 ]GRID grid.5477.1, ISNI 0000000120346234, Debye Institute for Nanomaterials Science, , Utrecht University, ; Utrecht, The Netherlands
                [3 ]GRID grid.503422.2, ISNI 0000 0001 2242 6780, Université de Lille, CNRS, Centrale Lille, Junia, Université Polytechnique Hauts-de-France, UMR 8520 – IEMN – Institut d’Electronique de Microélectronique et de Nanotechnologie, ; F-59000 Lille, France
                Author information
                http://orcid.org/0000-0003-3201-7301
                Article
                26
                10.1007/s44214-023-00026-0
                9974525
                c732de64-b3ff-4627-9d96-dd49b5d0a7e6
                © The Author(s) 2023

                Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/.

                History
                : 22 August 2022
                : 8 January 2023
                : 10 February 2023
                Funding
                Funded by: FundRef http://dx.doi.org/10.13039/501100000781, European Research Council;
                Award ID: 865570
                Award Recipient :
                Funded by: FundRef http://dx.doi.org/10.13039/501100003404, Foundation for Fundamental Research on Matter;
                Award ID: 16PR3245
                Award Recipient :
                Funded by: FundRef http://dx.doi.org/10.13039/501100003245, Ministerie van Onderwijs, Cultuur en Wetenschap;
                Award ID: 024.005.006
                Award Recipient :
                Funded by: Shanghai Jiao Tong University
                Categories
                Original Article
                Custom metadata
                © The Author(s) 2023

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