Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics /

• Main Authors: Prodan, Emil (Author), Schulz-Baldes, Hermann (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 1st ed. 2016.
• Series: Mathematical Physics Studies,
• Subjects: Physics.; K-theory.; Mathematical physics.; Solid state physics.; Mathematical Methods in Physics.; K-Theory.; Mathematical Physics.; Solid State Physics.

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...

Table of Contents:

• Illustration of key concepts in dimension d = 1
• Topological solid state systems: conjectures, experiments and models
• Observables algebras for solid state systems
• K-theory for topological solid state systems
• The topological invariants and their interrelations
• Index theorems for solid state systems
• Invariants as measurable quantities.