scispace - formally typeset
J

James P. Lee-Thorp

Researcher at Courant Institute of Mathematical Sciences

Publications -  24
Citations -  632

James P. Lee-Thorp is an academic researcher from Courant Institute of Mathematical Sciences. The author has contributed to research in topics: Honeycomb (geometry) & Computer science. The author has an hindex of 10, co-authored 19 publications receiving 413 citations. Previous affiliations of James P. Lee-Thorp include Columbia University.

Papers
More filters
Journal ArticleDOI

Honeycomb Schrödinger Operators in the Strong Binding Regime

TL;DR: In this article, the Schrodinger operator for a large class of periodic potentials with the symmetry of a hexagonal tiling of the plane is studied, and it is shown that the lowest two Floquet-Bloch dispersion surfaces converge uniformly to those of the two-band tight-binding model.
Journal ArticleDOI

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

TL;DR: This work presents a rigorous study of a class of continuum models, for which it is proved the emergence of topologically protected edge states, which are bifurcations at linear band crossings (Dirac points) of localized modes.
Journal ArticleDOI

Edge States in Honeycomb Structures

TL;DR: In this article, the existence of topologically protected edge states along zigzag edges of certain honeycomb structures has been shown for a class of Schrodinger operators with a background two-dimensional honeycomb potential perturbed by an edgepotential.
Journal ArticleDOI

Elliptic operators with honeycomb symmetry: Dirac points, Edge States and Applications to Photonic Graphene

TL;DR: In this paper, it was shown that a small and slow variations of a domain wall across a line-defect gives rise to the bifurcation from Dirac points of highly robust (topologically protected) edge states.