Variational bounds on the groundstate energy of three electrons and one hole in twodimension
Abstract
We consider a model of three electrons and one hole confined in a twodimensional (2D) plane, interacting with one another through Coulomb forces. Using a Ritz variational method we find an upper bound of \approx 0.0112me^4/8\pi^2 \epsilon ^2 \hbar ^2 for the groundstate energy of such a system when the particles are near one another. The possible connections of such a complex to other fields of physics are discussed.
 Publication:

arXiv eprints
 Pub Date:
 December 2000
 arXiv:
 arXiv:condmat/0101004
 Bibcode:
 2001cond.mat..1004L
 Keywords:

 Condensed Matter  Strongly Correlated Electrons
 EPrint:
 38 pages, 6 figures