{"product_id":"boundary-physics-and-bulk-boundary-correspondence-in-topological-phases-of-matter-von-abhijeet-alase","title":"Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter","description":"\n                                \n                \u003cp\u003e\u003c\/p\u003e\n                                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. \n                \n                \u003cp\u003e\u003c\/p\u003e\n                                \n                \u003cbr\u003e\n                                \n                \u003cp\u003e\u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030319595\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030319625\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Hardcover - 9783030319595","offer_id":31801237667933,"sku":"9783030319595","price":160.49,"currency_code":"EUR","in_stock":true},{"title":"Softcover - 9783030319625","offer_id":39418867220573,"sku":"9783030319625","price":160.49,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/0b68c106-8268-4ade-a288-bc2b5a2089ad.jpg?v=1778733364","url":"https:\/\/shop.autorenwelt.de\/products\/boundary-physics-and-bulk-boundary-correspondence-in-topological-phases-of-matter-von-abhijeet-alase","provider":"Autorenwelt Shop","version":"1.0","type":"link"}