Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter
(Sprache: Englisch)
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...
Jetzt vorbestellen
versandkostenfrei
Buch (Gebunden)
Fr. 177.00
inkl. MwSt.
- Kreditkarte, Paypal, Rechnungskauf
- 30 Tage Widerrufsrecht
Produktdetails
Produktinformationen zu „Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter “
Klappentext zu „Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter “
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. Inhaltsverzeichnis zu „Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter “
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.
Autoren-Porträt von Abhijeet Alase
Abhijeet Alase is a postdoctoral researcher at the Institute for Quantum Science and Technology of the University of Calgary. He received his PhD from Dartmouth College in 2019.
Bibliographische Angaben
- Autor: Abhijeet Alase
- 2019, 1st ed. 2019, XVII, 200 Seiten, 19 farbige Abbildungen, Masse: 15,8 x 24,3 cm, Gebunden, Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3030319598
- ISBN-13: 9783030319595
Sprache:
Englisch
Kommentar zu "Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter"
0 Gebrauchte Artikel zu „Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter“
Zustand | Preis | Porto | Zahlung | Verkäufer | Rating |
---|
Schreiben Sie einen Kommentar zu "Boundary Physics and Bulk-Boundary Correspondence in Topological Phases of Matter".
Kommentar verfassen