6 citations · 8 across the 6 of their papers we have counts for
7 papers
Dispersive decay bounds for the SSH model on the half-line
Remy Kassem, Amir Sagiv, Michael I. Weinstein
We study the Schrödinger flow for the SSH model, a class of self-adjoint discrete dimer lattice Hamiltonians on the half-line. Using oscillatory integral techniques, we prove dispe…
Continuum honeycomb Schrödinger operators with incommensurate line defects
Pierre Amenoagbadji, Michael I. Weinstein
We study wave propagation in 2D honeycomb structures with a non-commensurate or ``irrational'' line defect or edge. Our model is a Schrödinger operator which interpolates, across t…
Pseudo-magnetism in a strained discrete honeycomb lattice
Xuenan Li, Michael I. Weinstein
Slowly varying nonuniform strains of non-magnetic wave propagating media with honeycomb symmetry induce an effective- or pseudo-magnetic field, a phenomenon observed first in graph…
Edge states and the Valley Hall Effect
A. Drouot, M. I. Weinstein
We study energy propagation along line-defects (edges) in 2D continuous, energy preserving periodic media. The unperturbed medium (bulk) is modeled by a honeycomb Schroedinger oper…
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…
On-Site and Off-Site Bound States of the Discrete Nonlinear Schrödinger Equation and the Peierls-Nabarro Barrier
Michael Jenkinson, Michael I. Weinstein
We construct multiple families of solitary standing waves of the discrete cubically nonlinear Schrödinger equation (DNLS) in dimensions and . These states are obtained v…