Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590568 | Journal of Functional Analysis | 2014 | 26 Pages |
Abstract
We consider a two-dimensional massless Dirac operator coupled to a magnetic field B and an electric potential V growing at infinity. We find a characterization of the spectrum of the resulting operator H in terms of the relation between B and V at infinity. In particular, we give a sharp condition for the discreteness of the spectrum of H beyond which we find dense pure point spectrum.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Josef Mehringer, Edgardo Stockmeyer,