Non UBC
DSpace
Guo Chuan Thiang
2019-12-03T10:23:50Z
2019-06-05T11:30
It is known that a momentum space Chern class obstructs existence of good tight-binding models in position space. This is a T-duality, and holds in more general geometric contexts, e.g. crystallographic, defective, and non-Euclidean effective interacting topological phases. Namely, good Wannier bases correspond to free modules over pre-C*-algebras of the symmetry group. Thus K-theory and T-duality give precise tools to find topological insulators and understand their boundary gapless modes; explicit new examples will be given. Joint with M. Ludewig.
https://circle.library.ubc.ca/rest/handle/2429/72510?expand=metadata
63.0 minutes
video/mp4
Author affiliation: University of Adelaide
Oaxaca (Mexico : State)
10.14288/1.0386696
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Postdoctoral
BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Mathematics
Quantum Theory, Mathematical Physics
(Non)-existent atomic limits: geometric meaning of K-theory in the solid-state
Moving Image
http://hdl.handle.net/2429/72510