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math-ph2025
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}, \,…
math-ph2025
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…