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Viac informácií o knihe Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter

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Anotácia knihy

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.

Parametre knihy

Zaradenie knihy Knihy po anglicky Mathematics & science Chemistry Analytical chemistry

• Celý názov: Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter
• Autor: Abhijeet Alase
• Jazyk: Angličtina
• Väzba: Pevná
• Počet strán: 200
• EAN: 9783030319595
• ID: 24639975
• Nakladateľ: Springer Nature Switzerland AG
• Hmotnosť: 500 g
• Rozmery: 235 × 155 × 18 mm
• Dátum vydania: 06. December 2019

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