Bulk and Boundary Invariants for Complex Topological Insulators

Name: Bulk and Boundary Invariants for Complex Topological Insulators
Brand: Springer International Publishing AG
SKU: 9783319293509
Price: 32767 HUF
Availability: InStock

From K-Theory to Physics

Szerző: Emil Prodan, Hermann Schulz-Baldes

Nyelv:

Kötés: Kemény kötésű

Kiadó: Springer International Publishing AG

Elérhetőség: Beszállítói készleten

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This monograph offers an overview of rigorous results on fermionic topological insulators from the c...

Információk a könyvről

Szerző

Emil Prodan, Hermann Schulz-Baldes

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2016

oldal

204

EAN

9783319293509

ISBN

3319293508

Enbook ID

02893140

Kiadó

Springer International Publishing AG

Súly

4675

Méretek

155 x 235 x 19

Teljes leírás

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.§§

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Bulk and Boundary Invariants for Complex Topological Insulators

From K-Theory to Physics

Információk a könyvről

Teljes leírás

Érdekelheti

Azok a vásárlók, akik ezt a könyvet megvásárolták, a következőket is megvásárolták