• Accueil   >  
  • Reference   >  
  • Science   >  
  • Bulk and Boundary Invariants for Complex Topological Insulators
Téléchargez le livre : Bulk and Boundary Invariants for Complex Topological Insulators

Bulk and Boundary Invariants for Complex Topological Insulators

From K-Theory to Physics de

,

Éditeur :

Springer


Collection :

Mathematical Physics Studies

Paru le : 2016-02-05

eBook Téléchargement , DRM LCP 🛈 DRM Adobe 🛈
Lecture en ligne (streaming)
94,94 €
Téléchargement immédiat
Dès validation de votre commande
Image Louise Reader présentation

Louise Reader

Lisez ce titre sur l'application Louise Reader.

badge apple Application Louise Reader
badge Android Application Louise Reader
Description

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.
Pages
204 pages
Collection
Mathematical Physics Studies
Parution
2016-02-05
Marque
Springer
EAN papier
9783319293509
EAN PDF
9783319293516
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
20
Taille du fichier
2417 Ko
Prix
94,94 €
EAN EPUB
9783319293516
Informations sur l'ebook
Nombre pages copiables
2
Nombre pages imprimables
20
Taille du fichier
3789 Ko
Prix
94,94 €

Suggestions personnalisées