21 citations · 28 across the 4 of their papers we have counts for
4 papers
Edge currents and eigenvalue estimates for magnetic barrier Schrödinger operators
Nicolas Dombrowski, Peter D. Hislop, Eric Soccorsi
We study two-dimensional magnetic Schrödinger operators with a magnetic field that is equal to b>0 for x > 0 and (-b) for x < 0. This magnetic Schrödinger operator exhibits a magne…
Linear Response Theory for Random Schrödinger Operators and Noncommutative Integration
N. Dombrowski, F. Germinet
We consider an ergodic Schrödinger operator with magnetic field within the non-interacting particle approximation. Justifying the linear response theory, a rigorous derivation of a…
Quantization of edge currents along magnetic barriers and magnetic guides
N. Dombrowski, F. Germinet, G. D. Raikov
We investigate the edge conductance of particles submitted to an Iwatsuka magnetic field, playing the role of a purely magnetic barrier. We also consider magnetic guides generated…
Splitting of the Landau levels by magnetic perturbations and Anderson transition in 2D-random magnetic media
N. Dombrowski, F. Germinet, G. D. Raikov
In this note we consider a Landau Hamiltonian perturbed by a random magnetic potential of Anderson type. For a given number of bands, we prove the existence of both strongly locali…