Topologically protected states in one-dimensional systems / C.L. Fefferman, J.P. Lee-Thorp, M.I. Weinstein
Mitwirkende(r): Resource type: Ressourcentyp: Buch (Online)Buch (Online)Sprache: Englisch Reihen: Memoirs of the American Mathematical Society ; volume 247, number 1173Verlag: Providence, Rhode Island : American Mathematical Society, 2017Beschreibung: 1 Online-Ressource (vii, 118 pages)Schlagwörter: Andere physische Formen: 1470423235 | 9781470423230 | 1470437074. | 9781470437077. | Erscheint auch als: Kein Titel Druck-Ausgabe | Print version: Topologically protected states in one-dimensional systems MSC: MSC: *35J10 | 35B32 | 35Q41 | 37G40 | 34B30LOC-Klassifikation:- QC174.17.S3
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Zusammenfassung: We study a class of periodic Schrödinger operators, which in distinguished cases can be proved to have linear band-crossings or "mDirac points". We then show that the introduction of an "edge", via adiabatic modulation of these periodic potentials by a domain wall, results in the bifurcation of spatially localized "edge states". These bound states are associated with the topologically protected zero-energy mode of an asymptotic one-dimensional Dirac operator. Our model captures many aspects of the phenomenon of topologically protected edge states for two-dimensional bulk structures such as the honeycomb structure of graphene. The states we construct can be realized as highly robust TM-electromagnetic modes for a class of photonic waveguides with a phase-defectPPN: PPN: 897924754Package identifier: Produktsigel: ZDB-4-NLEBK
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