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Index theory and topological phases of aperiodic lattices Mesland, Bram
Description
A Delone set is a uniformly discrete and relatively dense subset of Euclidean space $\mathbb{R}^{d}$. As such they constitute a mathematical model for a general solid material. By choosing an abstract transversal for the translation action on the orbit space of the Delone set, one obtains an etale groupoid. In the absence of a $\mathbb{Z}^d$-labelling, the associated groupoid C*-algebra replaces the crossed product algebra as the natural algebra of observables. The K-theory of the groupoid C*-algebra is a natural home for the formulation of the bulk-boundary correspondence for topological insulators as well as a source for numerical invariants of (weak) topological phases. This is joint work with Chris Bourne
Item Metadata
| Title |
Index theory and topological phases of aperiodic lattices
|
| Creator | |
| Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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| Date Issued |
2019-06-03T10:00
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| Description |
A Delone set is a uniformly discrete and relatively dense subset of
Euclidean space $\mathbb{R}^{d}$. As such they constitute a
mathematical model for a general solid material. By choosing an
abstract transversal for the translation action on the orbit space of
the Delone set, one obtains an etale groupoid. In the absence of a $\mathbb{Z}^d$-labelling, the associated groupoid C*-algebra replaces the crossed product algebra as the natural algebra of observables.
The K-theory of the groupoid C*-algebra is a natural home for the formulation
of the bulk-boundary correspondence for topological insulators as well
as a source for numerical invariants of (weak) topological phases.
This is joint work with Chris Bourne
|
| Extent |
58.0 minutes
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| Subject | |
| Type | |
| File Format |
video/mp4
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| Language |
eng
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| Notes |
Author affiliation: University of Bonn
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| Series | |
| Date Available |
2021-01-13
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| Provider |
Vancouver : University of British Columbia Library
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| Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
| DOI |
10.14288/1.0395568
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| URI | |
| Affiliation | |
| Peer Review Status |
Unreviewed
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| Scholarly Level |
Postdoctoral
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| Rights URI | |
| Aggregated Source Repository |
DSpace
|
Item Media
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Rights
Attribution-NonCommercial-NoDerivatives 4.0 International