Unknown

Dataset Information

0

Topologically protected states in one-dimensional continuous systems and Dirac points.


ABSTRACT: We study a class of periodic Schrödinger operators on ℝ that have Dirac points. The introduction of an "edge" via adiabatic modulation of a periodic potential by a domain wall results in the bifurcation of spatially localized "edge states," associated with the topologically protected zero-energy mode of an asymptotic one-dimensional Dirac operator. The bound states we construct can be realized as highly robust transverse-magnetic electromagnetic modes for a class of photonic waveguides with a phase defect. Our model captures many aspects of the phenomenon of topologically protected edge states for 2D bulk structures such as the honeycomb structure of graphene.

SUBMITTER: Fefferman CL 

PROVIDER: S-EPMC4066501 | biostudies-other | 2014 Jun

REPOSITORIES: biostudies-other

Similar Datasets

| S-EPMC5665919 | biostudies-literature
| S-EPMC5234070 | biostudies-literature
| S-EPMC7755923 | biostudies-literature
| S-EPMC4895020 | biostudies-literature
| S-EPMC4633943 | biostudies-literature
| S-EPMC6750084 | biostudies-literature
| S-EPMC6506493 | biostudies-literature
| S-EPMC6109167 | biostudies-literature
| S-EPMC4044652 | biostudies-literature
| S-EPMC4906226 | biostudies-literature