arXiv Open Access 2019

Good Wannier bases in Hilbert modules associated to topological insulators

Matthias Ludewig Guo Chuan Thiang

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Abstrak

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 smooth well-localised 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 to the spectral subspace. This brings into play $K$-theoretic methods and justifies their importance as invariants of topological insulators in physics.

Topik & Kata Kunci

math-ph cond-mat.mes-hall math.OA math.SP

Penulis (2)

Matthias Ludewig

Guo Chuan Thiang

Format Sitasi

APA MLA BibTeX

Ludewig, M., Thiang, G.C. (2019). Good Wannier bases in Hilbert modules associated to topological insulators. https://arxiv.org/abs/1904.13051

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Informasi Jurnal

Tahun Terbit: 2019
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓