Die u:cris Detailansicht:
Localization of two-dimensional massless Dirac fermions in a magnetic quantum dot
- Autor(en)
- Martin Könenberg, Edgardo Stockmeyer
- Abstrakt
We consider a two-dimensional massless Dirac operator H in the presence of a perturbed homogeneous magnetic field B=B0+b and a scalar electric potential V. For V∈Lploc(R2), p∈(2,∞], and b∈Lqloc(R2), q∈(1,∞], both decaying at infinity, we show that states in the discrete spectrum of H are superexponentially localized.
We establish the existence of such states between the zeroth and the first Landau level assuming that V=0. In addition, under the condition that b is rotationally symmetric and that V satisfies certain analyticity condition on the angular variable, we show that states belonging to the discrete spectrum of H are Gaussian-like localized.
- Organisation(en)
- Mathematische Physik
- Externe Organisation(en)
- Ludwig-Maximilians-Universität München
- Journal
- Journal of Spectral Theory
- Band
- 2
- Seiten
- 115-146
- Anzahl der Seiten
- 32
- ISSN
- 1664-039X
- DOI
- https://doi.org/10.4171/JST/24
- Publikationsdatum
- 2012
- Peer-reviewed
- Ja
- ÖFOS 2012
- 103019 Mathematische Physik
- Link zum Portal
- https://ucrisportal.univie.ac.at/de/publications/80372845-0635-4b1b-85c2-534c6f1ba314