Topologically protected interface modes in multi-band damped lattice models

Yannick de Bruijn; Erik Orvehed Hiltunen

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arXiv · 2604.20818

Topologically protected interface modes in multi-band damped lattice models

Yannick de Bruijn·Erik Orvehed Hiltunen

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Abstract

Tridiagonal $k$-Toeplitz operators provide a natural framework for modelling one-dimensional $k$-periodic lattice systems. A fundamental connection is obtained between Coburn's lemma for tridiagonal $k$-Toeplitz operators and the existence of edge modes. We reveal that topological edge modes are characterised by the eigenvalues of the leading principal submatrix of the symbol function. A complete analysis of tridiagonal interface operators satisfying global inversion symmetry is then presented. These results are applied to finite one-dimensional $k$-periodic chains of damped resonators that satisfy both local and global inversion symmetry. Additionally, disordered tight-binding interface operators are shown to support a topologically robust zero-energy interface state. Numerical simulations are conducted to illustrate the theoretical findings.

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BibTeX RIS

Yannick de Bruijn, Erik Orvehed Hiltunen. 2026-04-22. Topologically protected interface modes in multi-band damped lattice models. https://arxiv.org/abs/2604.20818

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