Two-dimensional negative donors in magnetic fields
Mesoscale and Nanoscale Physics
2009-11-07 v1
Abstract
A finite-difference solution of the Schroedinger equation for negative donor centers D^- in two dimensions is presented. Our approach is of exact nature and allows us to resolve a discrepancy in the literature on the ground state of a negative donor. Detailed calculations of the energies for a number of states show that for field strengths less than \gamma=0.117 a.u. the donor possesses one bound state, for 0.117<\gamma<1.68 a.u. there exist two bound states and for field strengths \gamma>1.68 a.u. the system possesses three bound states. Further relevant characteristics of negative donors in magnetic fields are provided.
Cite
@article{arxiv.cond-mat/0202291,
title = {Two-dimensional negative donors in magnetic fields},
author = {Mikhail V. Ivanov and Peter Schmelcher},
journal= {arXiv preprint arXiv:cond-mat/0202291},
year = {2009}
}
Comments
7 pages, 1 figure