G. D. Raikov
Splitting of the Landau levels by magnetic perturbations and Anderson transition in 2D-random magnetic media.
Tue, 05/18/2010 - 15:01 — SomNambulAuthors: N. Dombrowski, F. Germinet, G. D. Raikov
Subjects: Spectral Theory
AbstractIn 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 localized states at the edges of the spectrum and dynamical
delocalization near the center of the bands in the sense that wave packets
travel at least at a given minimum speed. We provide explicit examples of
magnetic perturbations that split the Landau levels into full intervals of
spectrum.Quantization of edge currents along magnetic barriers and magnetic guides.
Tue, 05/18/2010 - 15:01 — SomNambulAuthors: N. Dombrowski, F. Germinet, G. D. Raikov
Subjects: Spectral Theory
AbstractWe 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 by generalized Iwatsuka potentials. In both cases we
prove quantization of the edge conductance. Next, we consider magnetic
perturbations of such magnetic barriers or guides, and prove stability of the
quantized value of the edge conductance. Further, we establish a sum rule for
edge conductances. Regularization within the context of disordered systems is
discussed as well.
User login
