Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics.
Language: English
Published by Springer, 2016
- Hardcover
- Used
Seller: Antiquariat Bookfarm, Löbnitz, GermanyAntiquariat Bookfarm
AbeBooks seller since October 28, 2009
Condition: Used - Very good
£ 73.66
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228 S. Ex-library with stamp and library-signature in good condition, some traces of use. C-01334 9783319293509 Sprache: Englisch Gewicht in Gramm: 550.
Seller Inventory # 2485195
- Title
- Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics.
- Author
- Prodan, Emil und Hermann Schulz-Baldes:
- Publisher
- Springer
- Publication year
- 2016
- Condition
- Gut
- Binding
- Hardcover
- Language
- English
- ISBN 10
- 3319293508
- ISBN 13
- 9783319293509
- Item weight
- 550 grams
- Series
- Book 12 of 24: Mathematical Physics Studies
- Seller catalogs
- SA MATHEMATIK
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.
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About the Author
"About the title" may belong to another edition of this title.
Antiquariat Bookfarm
Löbnitz, Germany
AbeBooks seller since October 28, 2009
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