| |
| |
Click the serial number on the left to view the details of the item. |
| # |
Author | Title | Accn# | Year | Item Type | Claims |
| 1 |
Schulz-Baldes, Hermann |
Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems |
I12255 |
2022 |
Book |
|
| 2 |
Prodan, Emil |
Bulk and Boundary Invariants for Complex Topological Insulators |
I10122 |
2016 |
eBook |
|
|
|
1.
  |
 |
| Title | Harmonic Analysis in Operator Algebras and its Applications to Index Theory and Topological Solid State Systems |
| Author(s) | Schulz-Baldes, Hermann;Stoiber, Tom |
| Publication | Cham, 1. Imprint: Springer
2. Springer International Publishing, 2022. |
| Description | XXIV, 206 p. 7 illus : online resource |
| Abstract Note | This book contains a self-consistent treatment of Besov spaces for W*-dynamical systems, based on the Arveson spectrum and Fourier multipliers. Generalizing classical results by Peller, spaces of Besov operators are then characterized by trace class properties of the associated Hankel operators lying in the W*-crossed product algebra. These criteria allow to extend index theorems to such operator classes. This in turn is of great relevance for applications in solid-state physics, in particular, Anderson localized topological insulators as well as topological semimetals. The book also contains a self-contained chapter on duality theory for R-actions. It allows to prove a bulk-boundary correspondence for boundaries with irrational angles which implies the existence of flat bands of edge states in graphene-like systems. This book is intended for advanced students in mathematical physics and researchers alike |
| ISBN,Price | 9783031122019 |
| Keyword(s) | 1. ALGEBRA
2. CONDENSED MATTER
3. CONDENSED MATTER PHYSICS
4. EBOOK
5. EBOOK - SPRINGER
6. GROUP THEORY
7. Group Theory and Generalizations
8. K-THEORY
|
| Item Type | Book |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I12255 |
|
|
On Shelf |
|
|
|
|
2.
 | |
| Title | Bulk and Boundary Invariants for Complex Topological Insulators : From K-Theory to Physics |
| Author(s) | Prodan, Emil;Schulz-Baldes, Hermann |
| Publication | Cham, Springer International Publishing, 2016. |
| Description | XXII, 204 p. 1 illus : online resource |
| Abstract Note | 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 use analysis 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 |
| ISBN,Price | 9783319293516 |
| Keyword(s) | 1. EBOOK
2. EBOOK - SPRINGER
3. K-THEORY
4. Mathematical Methods in Physics
5. MATHEMATICAL PHYSICS
6. PHYSICS
7. SOLID STATE PHYSICS
|
| Item Type | eBook |
Multi-Media Links
Please Click here for eBook
Circulation Data
| Accession# | |
Call# | Status | Issued To | Return Due On | Physical Location |
| I10122 |
|
|
On Shelf |
|
|
|
| |