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Quantum Materials Condensed Matter

Non-Hermitian Band Topology and Edge States in Atomic Lattices

arXiv
Authors: Wenxuan Xie, John C Schotland

Year

2026

Paper ID

4308

Status

Preprint

Abstract Read

~2 min

Abstract Words

94

Citations

N/A

Abstract

We investigate the band structure and topological phases of one- and two-dimensional bipartite atomic lattices mediated by long-range dissipative radiative coupling. By deriving an effective non-Hermitian Hamiltonian for the single-excitation sector, we demonstrate that the low-energy dynamics of the system are governed by a Dirac equation with a complex Fermi velocity. We analyze the associated topological invariants for both the SSH and honeycomb models, utilizing synthetic gauge fields to break time-reversal symmetry in the latter. Finally, we explicitly verify the non-Hermitian bulk-edge correspondence by deriving analytical solutions for edge states localized at domain boundaries.

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  • This paper contributes to the Quantum Materials & Condensed Matter research area in the Quantum Articles archive.
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  • We investigate the band structure and topological phases of one- and two-dimensional bipartite atomic lattices mediated by long-range dissipative radiative coupling.

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References & Citation Signals

[1] DOI https://doi.org/arXiv:2601.00487 [2] arXiv https://arxiv.org/abs/2601.00487 [3] Publisher https://arxiv.org/abs/2601.00487

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