We study electric dipole effects for massive Dirac fermions in graphene and related materials. The dipole potential accomodates towers of infinitely many bound states exhibiting a universal Efimov-like scaling hierarchy. The dipole moment determines the number of towers, but there is always at least one tower. The corresponding eigenstates show a characteristic angular asymmetry, observable in tunnel spectroscopy. However, charge transport properties inferred from scattering states are highly isotropic.
@article{arxiv.1401.5992,
title = {Electric dipole induced universality for Dirac fermions in graphene},
author = {A. De Martino and D. Kloepfer and D. Matrasulov and R. Egger},
journal= {arXiv preprint arXiv:1401.5992},
year = {2014}
}
Comments
5 pages, 3 figures, slightly shortened final version