Renormalised perturbative series for the impurity levels in a quantum well
Mesoscale and Nanoscale Physics
2009-10-30 v1
Abstract
The energy levels of an impurity center in a deep quantum well of width L and depth g are studied analytically . Renormalised perturbative series are constructed in the regions g L^ << 1 and g L^2 >> 1. Maximal binding energy and wave function deformation to a quasi-twodimensional function are found to occur at a certain L_c satisfying sqrt{g} L_c ~ 1. Similar results may be obtained for the impurity in a quantum wire, in a dot or in a multiwell structure.
Keywords
Cite
@article{arxiv.cond-mat/9701205,
title = {Renormalised perturbative series for the impurity levels in a quantum well},
author = {Augusto Gonzalez and Ilia Mikhailov},
journal= {arXiv preprint arXiv:cond-mat/9701205},
year = {2009}
}
Comments
11 pages. LaTeX. 3 figures not included