Topologically Protected States in One-dimensional Systems - Brossura

Fefferman, C. F.; Lee-thorp, J. P; Weinstein, M. I.

Brossura

ISBN 10: 1470423235 ISBN 13: 9781470423230

Casa editrice: Amer Mathematical Society, 2017

Riassunto

The authors study a class of periodic Schrodinger operators, which in distinguished cases can be proved to have linear band-crossings or ``Dirac points''. They 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. The authors' 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 the authors construct can be realized as highly robust TM-electromagnetic modes for a class of photonic waveguides with a phase-defect.

Dettagli dell'edizione

• Editore: Amer Mathematical Society
• Data di pubblicazione: 2017
• Lingua: Inglese
• ISBN 10: 1470423235
• ISBN 13: 9781470423230
• Rilegatura: Copertina flessibile
• Numero di pagine: 118
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile