By Emil Prodan,Hermann Schulz-Baldes
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.
Read Online or Download Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics (Mathematical Physics Studies) PDF
Best solid-state physics books
With contributions from best specialists of their respective fields, steel and Ceramic Matrix Composites offers a entire assessment of subject matters on particular fabrics and developments. it's a topic usually incorporated as a last yr alternative in fabrics technological know-how classes and can be of a lot commercial and educational curiosity.
Density useful concept (DFT) has blossomed some time past few many years right into a strong device that's utilized by experimentalists and theoreticians alike. This publication highlights the huge contributions that the DFT-based OLCAO technique has made to growth during this box, and it demonstrates its competitiveness for acting ab initio calculations on huge and complicated types of useful structures.
During this ebook, the writer theoretically stories facets of topological states. First, novel states bobbing up from hybridizing floor states of topological insulators are theoretically brought. As a notable instance, the writer indicates the lifestyles of gapless interface states on the interface among various topological insulators, which belong to an analogous topological part.
During this e-book, writer Gary Wysin presents an summary of a few version structures and their behaviour and results. meant for complicated scholars and researchers in physics, chemistry and engineering, that are drawn to constrained magnetics both to shape a simply theoretical perspective or to think about homes for strength novel functions.
- Fundamentals of Amorphous Solids: Structure and Properties
- Quantum Theory of the Solid State: Volume 2
- Advanced Calculations for Defects in Materials: Electronic Structure Methods
- The Theory of Materials Failure
- Spintronics in Nanoscale Devices
- Diffusion in Crystalline Solids (Materials Science and Technology Series)
Extra resources for Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics (Mathematical Physics Studies)
Bulk and Boundary Invariants for Complex Topological Insulators: From K-Theory to Physics (Mathematical Physics Studies) by Emil Prodan,Hermann Schulz-Baldes