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arXiv · 2611.01873

Interaction-Enabled Bulk-Boundary Correspondence without a Global Band Gap

Cong Ding·Xuzhen Cao·Zhifu Shi·Yuqing Li·Ying Hu
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Abstract

A challenge of growing interest is how to make topology observable when conventional gap-based frameworks no longer suffice. In bulk-edge correspondence, this challenge arises when the global band gap closes and localized boundary modes disappear, even though the bulk topology remains intact. Here we show that interactions unlock a novel emergent boundary response from this spectrally hidden topology without reopening the global band gap. These interaction-induced excitations originate from a bulk-band minimum, yet reconstruct the characteristic boundary channels of a gapped topological parent sharing the same Bloch eigenspaces. We establish this interaction-enabled bulk-boundary correspondence for first- and higher-order topology in one- and two-dimensional bosonic lattices, respectively, and identify a general compatibility principle governing its emergence. Our results extend bulk-boundary correspondence beyond its conventional spectral manifestation, with experimental prospects in cold-atom and photonic platforms.

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Cong Ding, Xuzhen Cao, Zhifu Shi, Yuqing Li, Ying Hu. 2026-11-01. Interaction-Enabled Bulk-Boundary Correspondence without a Global Band Gap. https://arxiv.org/abs/2611.01873

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