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Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to 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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cham :
Springer International Publishing : Imprint: Springer,
2016.
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| Edición: | 1st ed. 2016. |
| Colección: | Mathematical Physics Studies,
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| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
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| 001 | 978-3-319-29351-6 | ||
| 003 | DE-He213 | ||
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| 008 | 160205s2016 sz | s |||| 0|eng d | ||
| 020 | |a 9783319293516 |9 978-3-319-29351-6 | ||
| 024 | 7 | |a 10.1007/978-3-319-29351-6 |2 doi | |
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| 082 | 0 | 4 | |a 530.15 |2 23 |
| 100 | 1 | |a Prodan, Emil. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Bulk and Boundary Invariants for Complex Topological Insulators |h [electronic resource] : |b From K-Theory to Physics / |c by Emil Prodan, Hermann Schulz-Baldes. |
| 250 | |a 1st ed. 2016. | ||
| 264 | 1 | |a Cham : |b Springer International Publishing : |b Imprint: Springer, |c 2016. | |
| 300 | |a XXII, 204 p. 1 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Mathematical Physics Studies, |x 2352-3905 | |
| 505 | 0 | |a 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. | |
| 520 | |a 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. | ||
| 650 | 0 | |a Mathematical physics. | |
| 650 | 0 | |a K-theory. | |
| 650 | 0 | |a Condensed matter. | |
| 650 | 1 | 4 | |a Mathematical Methods in Physics. |
| 650 | 2 | 4 | |a K-Theory. |
| 650 | 2 | 4 | |a Mathematical Physics. |
| 650 | 2 | 4 | |a Condensed Matter Physics. |
| 700 | 1 | |a Schulz-Baldes, Hermann. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783319293509 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319293523 |
| 776 | 0 | 8 | |i Printed edition: |z 9783319805504 |
| 830 | 0 | |a Mathematical Physics Studies, |x 2352-3905 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-319-29351-6 |z Texto Completo |
| 912 | |a ZDB-2-PHA | ||
| 912 | |a ZDB-2-SXP | ||
| 950 | |a Physics and Astronomy (SpringerNature-11651) | ||
| 950 | |a Physics and Astronomy (R0) (SpringerNature-43715) | ||