Bulk and Boundary Invariants for Complex Topological Insulators is popular PDF and ePub book, written by Emil Prodan in 2016-02-05, it is a fantastic choice for those who relish reading online the Science genre. Let's immerse ourselves in this engaging Science book by exploring the summary and details provided below. Remember, Bulk and Boundary Invariants for Complex Topological Insulators can be Read Online from any device for your convenience.
Bulk and Boundary Invariants for Complex Topological Insulators Book PDF Summary
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-trivial invariants. 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.
Detail Book of Bulk and Boundary Invariants for Complex Topological Insulators PDF
- Author : Emil Prodan
- Release : 05 February 2016
- Publisher : Springer
- ISBN : 9783319293516
- Genre : Science
- Total Page : 204 pages
- Language : English
- PDF File Size : 10,7 Mb
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