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On optimal Wannier decay in dimension three

Year: 2026
Type: preprint
Abstract: For a Chern nontrivial Bloch bundle over the three torus, we construct an orthonormal Wannier basis with the optimal pointwise decay $\mathcal{O}(|x|^{-5/2})$. All but one of the generators decay exponentially. This resolves the question left open in arXiv:2505.01999.
Language: English
Open Access status: green
OpenAlex ID: W7222091513
Cites: 1
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Related to: 10