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

S. N. Kempkes, P. Capiod, S. Ismaili, J. Mulkens, L. Eek, I. Swart*, C. Morais Smith*

*Corresponding author for this work

Research output: Contribution to journalArticleAcademicpeer-review


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.
Original languageEnglish
Number of pages10
JournalQuantum Frontiers
Issue number1
Publication statusPublished - 28 Feb 2023


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