Far-infrared edge modes in quantum dots
Abstract
We have investigated edge modes of different multipolarity sustained by quantum dots submitted to external magnetic fields. We present a microscopic description based on a variational solution of the equation of motion for any axially symmetric confining potential and multipole mode. Numerical results for dots with different number of electrons whose ground-state is described within a local Current Density Functional Theory are discussed. Two sum rules, which are exact within this theory, are derived. In the limit of a large neutral dot at B=0, we have shown that the classical hydrodynamic dispersion law for edge waves \omega(q) \sim \sqrt{q \ln (q_0/q)} holds when quantum and finite size effects are taken into account.
Cite
@article{arxiv.cond-mat/9704150,
title = {Far-infrared edge modes in quantum dots},
author = {E. Lipparini and N. Barberan and M. Barranco and M. Pi and Ll. Serra},
journal= {arXiv preprint arXiv:cond-mat/9704150},
year = {2009}
}
Comments
We have changed some figures as well as a part of the text