PreprintarXiv licencearXiv
On optimal Wannier decay in dimension three
Abstract
For a Chern nontrivial Bloch bundle over the three torus, we construct an orthonormal Wannier basis with the optimal pointwise decay 𝒪(|x|−5/2). All but one of the generators decay exponentially. This resolves the question left open in arXiv:2505.01999.
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BibTeX
@misc{becker2026optimal,
title = {{On optimal Wannier decay in dimension three}},
author = {Simon Becker and Zhongkai Tao and Mengxuan Yang},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.19195},
eprint = {2610.19195},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.19195},
}
RIS
TY - UNPB
TI - On optimal Wannier decay in dimension three
AU - Simon Becker
AU - Zhongkai Tao
AU - Mengxuan Yang
PY - 2026
DA - 2026/10/13
PB - arXiv
DO - 10.48550/arxiv.2610.19195
UR - https://arxiv.org/abs/2610.19195
AB - For a Chern nontrivial Bloch bundle over the three torus, we construct an orthonormal Wannier basis with the optimal pointwise decay 𝒪(|x|^−5/2). All but one of the generators decay exponentially. This resolves the question left open in arXiv:2505.01999.
ER -