75 citations · 228 across the 12 of their papers we have counts for
5 papers · 1 filter
Elliptic operators with honeycomb symmetry: Dirac points, Edge States and Applications to Photonic Graphene
J. P. Lee-Thorp, M. I. Weinstein, Y. Zhu
Consider electromagnetic waves in two-dimensional {\it honeycomb structured media}. The properties of transverse electric (TE) polarized waves are determined by the spectral proper…
Honeycomb Schroedinger operators in the strong binding regime
C. L. Fefferman, J. P. Lee-Thorp, M. I. Weinstein
In this article, we study the Schrödinger operator for a large class of periodic potentials with the symmetry of a hexagonal tiling of the plane. The potentials we consider are sup…
Bifurcations of edge states -- topologically protected and non-protected -- in continuous 2D honeycomb structures
C. L. Fefferman, J. P. Lee-Thorp, M. I. Weinstein
This paper summarizes and extends the authors' work on the bifurcation of topologically protected edge states in continuous two-dimensional honeycomb structures. We consider a fami…
Edge states in honeycomb structures
Charles L. Fefferman, James P. Lee-Thorp, Michael I. Weinstein
An edge state is a time-harmonic solution of a conservative wave system, e.g. Schroedinger, Maxwell, which is propagating (plane-wave-like) parallel to, and localized transverse to…
Topologically Protected States in One-Dimensional Systems
Charles L. Fefferman, James P. Lee-Thorp, Michael I. Weinstein
We study a class of periodic Schrödinger operators, which in distinguished cases can be proved to have linear band-crossings or "Dirac points". We then show that the introduction o…