Zero-energy states of massive Dirac equation in magnetic fields
Mesoscale and Nanoscale Physics
2010-05-21 v2 Strongly Correlated Electrons
High Energy Physics - Theory
Abstract
The Dirac equation with a U(1) vortex in the mass-term is solved in the presence of magnetic-like fields at zero energy. By drawing an analogy to classical mechanics, it is shown that the four-component Dirac equation in arbitrary magnetic field always yields one zero-energy state. In the time-reversal preserving, pseudo-magnetic field, however, the number of zero-energy states may depend on the field's profile and sign. Some explicit examples are worked out. Possible implications of these results for the charge of the vortex and for the behavior of graphene in magnetic field are discussed.
Keywords
Cite
@article{arxiv.0910.4906,
title = {Zero-energy states of massive Dirac equation in magnetic fields},
author = {Igor F. Herbut},
journal= {arXiv preprint arXiv:0910.4906},
year = {2010}
}
Comments
5 revtex pages; cosmetic changes, updated references, published version