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Topological Crystalline Insulators


Neupert, Titus; Schindler, Frank (2018). Topological Crystalline Insulators. In: Neupert, Titus; Schindler, Frank. Topological Matter. Cham: Springer, 31-61.

Abstract

We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without breaking symmetries that include spatial transformations, like mirror or rotational symmetries. To deduce the topological properties, we use non-Abelian Wilson loops. We also discuss in detail higher-order topological insulators with hinge and corner states, and in particular, present interacting bosonic models for the latter class of systems.

Abstract

We give an introduction to topological crystalline insulators, that is, gapped ground states of quantum matter that are not adiabatically connected to an atomic limit without breaking symmetries that include spatial transformations, like mirror or rotational symmetries. To deduce the topological properties, we use non-Abelian Wilson loops. We also discuss in detail higher-order topological insulators with hinge and corner states, and in particular, present interacting bosonic models for the latter class of systems.

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Additional indexing

Item Type:Book Section, not_refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:1 January 2018
Deposited On:27 Nov 2018 15:24
Last Modified:29 Jul 2020 08:12
Publisher:Springer
Series Name:Solid-State Sciences
ISBN:9783319763873
OA Status:Closed
Publisher DOI:https://doi.org/10.1007/978-3-319-76388-0_2

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