1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
Dirac bag model on thin domains: a microlocal viewpoint
Loïc Le Treust, Thomas Ourmières-Bonafos, Nicolas Raymond
The Dirac operator is considered on a bidimensional domain whose boundary carries the infinite mass boundary condition. The analysis is focused on the existence of discrete spectru…
Magnetic Dirac operator in strips submitted to strong magnetic fields
Loïc Le Treust, Julien Royer, Nicolas Raymond
We consider the magnetic Dirac operator on a curved strip whose boundary carries the infinite mass boundary condition. When the magnetic field is large, we provide the reader with…
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…