A Computational Non-commutative Geometry Program for Disordered Topological Insulators
Emil Prodan
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A Computational Non-commutative Geometry Program for Disordered Topological Insulators

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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 ...