Title Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter Author(s) Alase, Abhijeet Publication Cham, Springer International Publishing, 2019. Description XVII, 200 p. 23 illus., 19 illus. in color : online resource Abstract Note 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 condensed matter physics, placing the work in context, before introducing the generalized form of Bloch's Theorem. A cornerstone of electronic band structure and transport theory in crystalline matter, Bloch's Theorem is generalized via a reformulation of the diagonalization problem in terms of corner-modified block-Toeplitz matrices and, physically, by allowing the crystal momentum to take complex values. This formulation provides exact expressions for all the energy eigenvalues and eigenstates of the single-particle Hamiltonian. By precisely capturing the interplay between bulk and boundary properties, this affords an exact analysis of several prototypical models relevant to symmetry-protected topological phases of matter, including a characterization of zero-energy localized boundary excitations in both topological insulators and superconductors. Notably, in combination with suitable matrix factorization techniques, the generalized Bloch Hamiltonian is also shown to provide a natural starting point for a unified derivation of bulk-boundary correspondence for all symmetry classes in one dimension ISBN,Price 9783030319601 Keyword(s) 1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. Phase transitions (Statistical physics) 6. Phase Transitions and Multiphase Systems 7. PHYSICS 8. SEMICONDUCTORS 9. SOLID STATE PHYSICS Item Type eBook Multi-Media Links Please Click here for eBook Circulation Data Accession#   Call# Status Issued To Return Due On Physical Location I08988     On Shelf