Get Bulk and Boundary Invariants for Complex Topological PDF

By Emil Prodan,Hermann Schulz-Baldes

ISBN-10: 3319293508

ISBN-13: 9783319293509

ISBN-10: 3319805509

ISBN-13: 9783319805504

This monograph bargains an summary of rigorous effects on fermionic topological insulators from the complicated sessions, specifically, these with no symmetries or with only a chiral symmetry. specific concentration is at the balance of the topological invariants within the presence of robust illness, at the interaction among the majority and boundary invariants and on their dependence on magnetic fields.

The first half offers motivating examples and the conjectures recommend by means of the physics neighborhood, including a quick assessment of the experimental achievements. the second one half develops an operator algebraic method for the research of disordered topological insulators. This leads obviously to using analytical instruments from K-theory and non-commutative geometry, corresponding to 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 offers a elegant actual characterization of the complicated 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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