Bulk and Boundary Invariants for Complex Topological Insulators
Language: English
Published by Springer International Publishing, 2016
- Hardcover
- New
Seller: moluna, Greven, Germanymoluna
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Condition: New
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Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Offers a complete and detailed description of the state of theart in the field from a mathematics point of viewContains many original contributions such as the generalized Streda formula, the ranges of the pairings of K-th.
Seller Inventory # 109507283
- Title
- Bulk and Boundary Invariants for Complex Topological Insulators
- Author
- Emil Prodan|Hermann Schulz-Baldes
- Publisher
- Springer International Publishing
- Publication year
- 2016
- Condition
- New
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3319293508
- ISBN 13
- 9783319293509
- Dimensions
- 1.8 x 24.2 x 16.2
- Series
- Book 12 of 24: Mathematical Physics Studies
- Seller catalogs
- Mathematik/Naturwissenschaften/Technik/Medizin
This monograph offers an overview of rigorous results on fermionic topological insulators from the complex classes, namely, those without symmetries or with just a chiral symmetry. Particular focus is on the stability of the topological invariants in the presence of strong disorder, on the interplay between the bulk and boundary invariants and on their dependence on magnetic fields.
The first part presents motivating examples and the conjectures put forward by the physics community, together with a brief review of the experimental achievements. The second part develops an operator algebraic approach for the study of disordered topological insulators. This leads naturally to the use of analytical tools from K-theory and non-commutative geometry, such as cyclic cohomology, quantized calculus with Fredholm modules and index pairings. New results include a generalized Streda formula and a proof of the delocalized nature of surface states in topological insulators with non-trivialinvariants. The concluding chapter connects the invariants to measurable quantities and thus presents a refined physical characterization of the complex topological insulators.
This book is intended for advanced students in mathematical physics and researchers alike.
"Synopsis" may belong to another edition of this title.
About the Author
"About the title" may belong to another edition of this title.
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