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

Bulk and Boundary Invariants for Complex Topological Insulators
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Bulk and Boundary Invariants for Complex Topological Insulators Vital Source e-bog

Emil Prodan og Hermann Schulz-Baldes
(2016)
Springer Nature
815,00 kr.
Leveres umiddelbart efter køb
Bulk and Boundary Invariants for Complex Topological Insulators

Bulk and Boundary Invariants for Complex Topological Insulators Vital Source e-bog

Emil Prodan og Hermann Schulz-Baldes
(2016)
Springer Nature
483,00 kr.
Leveres umiddelbart efter køb
Bulk and Boundary Invariants for Complex Topological Insulators - From K-Theory to Physics

Bulk and Boundary Invariants for Complex Topological Insulators

From K-Theory to Physics
Emil Prodan og Hermann Schulz-Baldes
(2016)
Sprog: Engelsk
Springer International Publishing AG
969,00 kr.
Print on demand. Leveringstid vil være ca 2-3 uger.
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Detaljer om varen

  • Vital Source searchable e-book (Fixed pages)
  • Udgiver: Springer Nature (Februar 2016)
  • Forfattere: Emil Prodan og Hermann Schulz-Baldes
  • ISBN: 9783319293516
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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Bookshelf appen: ubegrænset dage fra købsdato.

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Detaljer om varen

  • Vital Source 365 day rentals (fixed pages)
  • Udgiver: Springer Nature (Februar 2016)
  • Forfattere: Emil Prodan og Hermann Schulz-Baldes
  • ISBN: 9783319293516R365
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.
Licens varighed:
Bookshelf online: 5 år fra købsdato.
Bookshelf appen: 5 år fra købsdato.

Udgiveren oplyser at følgende begrænsninger er gældende for dette produkt:
Print: 2 sider kan printes ad gangen
Copy: højest 2 sider i alt kan kopieres (copy/paste)

Detaljer om varen

  • Hardback
  • Udgiver: Springer International Publishing AG (Februar 2016)
  • Forfattere: Emil Prodan og Hermann Schulz-Baldes
  • ISBN: 9783319293509

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.

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.
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