Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter

Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter

Alase, Abhijeet

Springer Nature Switzerland AG

12/2019

206

Dura

Inglês

9783030319595

Pré-lançamento - envio 15 a 20 dias após a sua edição

This thesis extends our understanding of systems of independent electrons by developing a generalization of Bloch's Theorem which is applicable whenever translational symmetry is broken solely due to arbitrary boundary conditions.
Chapter1: Introduction.- Chapter2: Generalization of Bloch's theorem to systems with boundary.- Chapter3: Investigation of topological boundary states via generalized Bloch theorem.- Chapter4: Matrix factorization approach to bulk-boundary correspondence.- Chapter5: Mathematical foundations to the generalized Bloch theorem.- Chapter6: Summary and Outlook.