Topologically Protected States in One-Dimensional Systems (eBook)

C. L Fefferman (Autor)

eBook Download: PDF

118 Seiten
American Mathematical Society (Verlag)
978-1-4704-3707-7 (ISBN)

Infos

The authors study a class of periodic Schroedinger operators, which in distinguished cases can be proved to have linear band-crossings or "e;Dirac points"e;. They then show that the introduction of an "e;edge"e;, via adiabatic modulation of these periodic potentials by a domain wall, results in the bifurcation of spatially localized "e;edge states"e;. 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.

Produkt-Details

• Themenwelt: Mathematik / Informatik ► Mathematik ► Analysis
• Themenwelt: Naturwissenschaften ► Physik / Astronomie
• ISBN-10: 1-4704-3707-4 / 1470437074
• ISBN-13: 978-1-4704-3707-7 / 9781470437077