65 citations · 241 across the 27 of their papers we have counts for
33 papers
On gap properties for the linearized 1D Dirac--Soler model
Danko Aldunate, Julien Ricaud, Edgardo Stockmeyer
We study spectral properties of the Dirac operator obtained by linearizing the one-dimensional Soler model around standing waves with power nonlinearity $f(s)=s|s|^{p-1}, \,…
Green's functions for magnetic Dirac operators and bulk-edge correspondence
Jean-Marie Barbaroux, Horia D. Cornean, Loïc Le Treust +2
We study the resolvent kernel (Green's function) of magnetic Dirac operators on a half-plane with boundary conditions interpolating between infinite mass and zigzag cases, excludin…
Magnetic Dirac systems: Violation of bulk-edge correspondence in the zigzag limit
Loïc Le Treust, Jean-Marie Barbaroux, Horia D. Cornean +2
We consider a Dirac operator with constant magnetic field defined on a half-plane with boundary conditions that interpolate between infinite mass and zigzag. By a detailed study of…
Tunneling estimates for two-dimensional perturbed magnetic Dirac systems
Esteban Cárdenas, Benjamín Pavez, Edgardo Stockmeyer
We prove tunneling estimates for two-dimensional Dirac systems which are localized in space due to the presence of a magnetic field. The Hamiltonian driving the motion admits the d…
A Block-diagonal form for four-component operators describing Graphene Quantum Dots
Rafael D. Benguria, Edgardo Stockmeyer, Cristóbal Vallejos +1
We consider four-component Dirac operators on domains in the plane. With suitable boundary conditions, these operators describe graphene quantum dots. The most general boundary con…
Results on the spectral stability of standing wave solutions of the Soler model in 1-D
Danko Aldunate, Julien Ricaud, Edgardo Stockmeyer +1
We study the spectral stability of the nonlinear Dirac operator in dimension , restricting our attention to nonlinearities of the form …