By Emil Prodan,Hermann Schulz-Baldes

ISBN-10: 3319293508

ISBN-13: 9783319293509

ISBN-10: 3319805509

ISBN-13: 9783319805504

This monograph deals an summary of rigorous effects on fermionic topological insulators from the advanced periods, specifically, these with out symmetries or with only a chiral symmetry. specific concentration is at the balance of the topological invariants within the presence of sturdy affliction, at the interaction among the majority and boundary invariants and on their dependence on magnetic fields.

The first half provides motivating examples and the conjectures recommend via the physics group, including a quick overview of the experimental achievements. the second one half develops an operator algebraic strategy for the learn of disordered topological insulators. This leads obviously to using analytical instruments from K-theory and non-commutative geometry, resembling cyclic cohomology, quantized calculus with Fredholm modules and index pairings. New effects contain a generalized Streda formulation and an evidence of the delocalized nature of floor states in topological insulators with non-trivial invariants. The concluding bankruptcy connects the invariants to measurable amounts and therefore provides a polished actual characterization of the advanced topological insulators. 

This e-book is meant for complex scholars in mathematical physics and researchers alike.

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Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics (Mathematical Physics Studies) by Emil Prodan,Hermann Schulz-Baldes

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