A Computational Non Commutative Geometry (6 items)

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Paperback. New. New Book; Fast Shipping from UK; Not signed; Not First Edition; This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard&nb

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paperback. Good. Access codes and supplements are not guaranteed with used items. May be an ex-library book.

Springer Verlag, 2017. Paperback. New. 118 pages. 9.25x6.00x0.50 inches.

Paperback / softback. New. This work presents a computational program based on the principles of non-commutative geometry and showcases several applications to topological insulators. Noncommutative geometry has been originally proposed by Jean Bellissard as a theoretical framework for the investigation of homogeneous condensed matter systems. Recently, this approach has been successfully applied to topological insulators, where it facilitated many rigorous results concerning the stability of the topological invariants against disorder.In the first part of the book the notion of a homogeneous material is introduced and the class of disordered crystals defined together with the classification table, which conjectures all topological phases from this class. The manuscript continues with a discussion of electrons' dynamics in disordered crystals and the theory of topological invariants in the presence of strong disorder is briefly reviewed. It is shown how all this can be captured in the language of… Read more