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

• Main Author: Alase, Abhijeet (Author, http://id.loc.gov/vocabulary/relators/aut)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2019.
• Edition: 1st ed. 2019.
• Series: Springer Theses, Recognizing Outstanding Ph.D. Research,
• Subjects: Solid state physics.; Phase transitions (Statistical physics).; Mathematical physics.; Physics.; Semiconductors.; Solid State Physics.; Phase Transitions and Multiphase Systems.; Mathematical Physics.; Mathematical Methods in Physics.

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. The thesis begins with a historical overview of topological cond...

Table of Contents:

• 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.