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Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids)

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Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter (Paperback, 1st ed. 2019) Loot Price: R4,441
Discovery Miles 44 410
Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter (Paperback, 1st ed. 2019): Abhijeet Alase

Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter (Paperback, 1st ed. 2019)

Abhijeet Alase

Series: Springer Theses

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Loot Price R4,441 Discovery Miles 44 410 | Repayment Terms: R416 pm x 12*

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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.

General

Imprint: Springer Nature Switzerland AG
Country of origin: Switzerland
Series: Springer Theses
Release date: December 2020
First published: 2019
Authors: Abhijeet Alase
Dimensions: 235 x 155mm (L x W)
Format: Paperback
Pages: 200
Edition: 1st ed. 2019
ISBN-13: 978-3-03-031962-5
Categories: Books > Science & Mathematics > Mathematics > Applied mathematics > General
Books > Science & Mathematics > Physics > States of matter > Condensed matter physics (liquids & solids)
Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Electronic devices & materials > Semi-conductors & super-conductors
Books > Science & Mathematics > Chemistry > Analytical chemistry > Qualitative analytical chemistry > Chemical spectroscopy, spectrochemistry > General
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LSN: 3-03-031962-8
Barcode: 9783030319625

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