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https://hdl.handle.net/2440/126999
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Type: | Journal article |
Title: | Good Wannier bases in Hilbert modules associated to topological insulators |
Author: | Ludewig, M. Thiang, G.C. |
Citation: | Journal of Mathematical Physics, 2020; 61(6):1-22 |
Publisher: | AIP Publishing |
Issue Date: | 2020 |
ISSN: | 0022-2488 1089-7658 |
Statement of Responsibility: | Matthias Ludewig and Guo Chuan Thianga |
Abstract: | For a large class of physically relevant operators on a manifold with discrete group action, we prove general results on the (non-)existence of a basis of well-localized Wannier functions for their spectral subspaces. This turns out to be equivalent to the freeness of a certain Hilbert module over the group C*-algebra canonically associated with the spectral subspace. This brings into play K-theoretic methods and justifies their importance as invariants of topological insulators in physics. |
Rights: | © 2020 Author(s). Published under license by AIP Publishing. |
DOI: | 10.1063/1.5143493 |
Grant ID: | http://purl.org/au-research/grants/arc/FL170100020 http://purl.org/au-research/grants/arc/DE170100149 http://purl.org/au-research/grants/arc/DP200100729 |
Published version: | http://dx.doi.org/10.1063/1.5143493 |
Appears in Collections: | Aurora harvest 4 Physics publications |
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