Topologically Protected States in One-Dimensional Systems Paperback / softback
by C.F. Fefferman, J.P. Lee-Thorp, M.I. Weinstein
Part of the Memoirs of the American Mathematical Society series
Paperback / softback
Description
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.
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:118 pages
- Publisher:American Mathematical Society
- Publication Date:30/05/2017
- Category:
- ISBN:9781470423230
Information
-
Out of Stock - We are unable to provide an estimated availability date for this product
- Format:Paperback / softback
- Pages:118 pages
- Publisher:American Mathematical Society
- Publication Date:30/05/2017
- Category:
- ISBN:9781470423230
