Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics
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| Format: | Elektronisch E-Book |
| Sprache: | English |
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Springer
2016
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| Schriftenreihe: | Mathematical Physics Studies
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Datensatz im Suchindex
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| adam_text | BULK AND BOUNDARY INVARIANTS FOR COMPLEX TOPOLOGICAL INSULATORS
/ PRODAN, EMIL
: 2016
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
BULK AND BOUNDARY INVARIANTS FOR COMPLEX TOPOLOGICAL INSULATORS
/ PRODAN, EMIL
: 2016
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Prodan, Emil Schulz-Baldes, Hermann 1968- |
| author_GND | (DE-588)120620332 |
| author_facet | Prodan, Emil Schulz-Baldes, Hermann 1968- |
| author_role | aut aut |
| author_sort | Prodan, Emil |
| author_variant | e p ep h s b hsb |
| building | Verbundindex |
| bvnumber | BV043423022 |
| classification_rvk | SK 300 |
| classification_tum | PHY 000 |
| collection | ZDB-2-PHA |
| ctrlnum | (OCoLC)943778080 (DE-599)BVBBV043423022 |
| dewey-full | 530.15 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 530 - Physics |
| dewey-raw | 530.15 |
| dewey-search | 530.15 |
| dewey-sort | 3530.15 |
| dewey-tens | 530 - Physics |
| discipline | Physik Mathematik |
| doi_str_mv | 10.1007/978-3-319-29351-6 |
| format | Electronic eBook |
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| id | DE-604.BV043423022 |
| illustrated | Not Illustrated |
| indexdate | 2024-11-25T17:51:13Z |
| institution | BVB |
| isbn | 9783319293516 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-028840914 |
| oclc_num | 943778080 |
| open_access_boolean | |
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| owner_facet | DE-91 DE-BY-TUM DE-703 |
| physical | 1 Online Ressource (XXII, 204 p. 1 illus. in color) |
| psigel | ZDB-2-PHA ZDB-2-PHA_2016 |
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| publisher | Springer |
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| series2 | Mathematical Physics Studies |
| spellingShingle | Prodan, Emil Schulz-Baldes, Hermann 1968- Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics Physics K-theory Mathematical physics Solid state physics Mathematical Methods in Physics K-Theory Mathematical Physics Solid State Physics Mathematische Physik |
| title | Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics |
| title_auth | Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics |
| title_exact_search | Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics |
| title_full | Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics Emil Prodan, Hermann Schulz-Baldes |
| title_fullStr | Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics Emil Prodan, Hermann Schulz-Baldes |
| title_full_unstemmed | Bulk and Boundary Invariants for Complex Topological Insulators From K-Theory to Physics Emil Prodan, Hermann Schulz-Baldes |
| title_short | Bulk and Boundary Invariants for Complex Topological Insulators |
| title_sort | bulk and boundary invariants for complex topological insulators from k theory to physics |
| title_sub | From K-Theory to Physics |
| topic | Physics K-theory Mathematical physics Solid state physics Mathematical Methods in Physics K-Theory Mathematical Physics Solid State Physics Mathematische Physik |
| topic_facet | Physics K-theory Mathematical physics Solid state physics Mathematical Methods in Physics K-Theory Mathematical Physics Solid State Physics Mathematische Physik |
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