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Main Authors: Li, Jun, Yang, Yaping, Hu, C. M.
Format: Preprint
Published: 2023
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Online Access:https://arxiv.org/abs/2303.00053
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author Li, Jun
Yang, Yaping
Hu, C. M.
author_facet Li, Jun
Yang, Yaping
Hu, C. M.
contents We propose and experimentally realize a class of quasi-one-dimensional topological lattices whose unit cells are constructed by coupled multiple identical resonators, with uniform hopping and inversion symmetry. In the presence of path-induced effective zero hopping within the unit cells, the systems are characterized by complete multimerization with degenerate $-1$ energy edge states for open boundary condition. Su-Schrieffer-Heeger subspaces with fully dimerized limits corresponding to pairs of nontrivial flat bands are derived from the Hilbert spaces. In particular, topological bound states in the continuum (BICs) are inherently present in even multimer chains, manifested by embedding the topological bound states into a continuous band assured by bulk-boundary correspondence. Moreover, we experimentally demonstrate the degenerate topological edge states and topological BICs in inductor-capacitor circuits.
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publishDate 2023
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spellingShingle Degenerate Topological Edge States in Multimer Chains
Li, Jun
Yang, Yaping
Hu, C. M.
Mesoscale and Nanoscale Physics
We propose and experimentally realize a class of quasi-one-dimensional topological lattices whose unit cells are constructed by coupled multiple identical resonators, with uniform hopping and inversion symmetry. In the presence of path-induced effective zero hopping within the unit cells, the systems are characterized by complete multimerization with degenerate $-1$ energy edge states for open boundary condition. Su-Schrieffer-Heeger subspaces with fully dimerized limits corresponding to pairs of nontrivial flat bands are derived from the Hilbert spaces. In particular, topological bound states in the continuum (BICs) are inherently present in even multimer chains, manifested by embedding the topological bound states into a continuous band assured by bulk-boundary correspondence. Moreover, we experimentally demonstrate the degenerate topological edge states and topological BICs in inductor-capacitor circuits.
title Degenerate Topological Edge States in Multimer Chains
topic Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2303.00053