Variational bounds on the ground-state energy of three electrons and one hole in two-dimension

Details Variational bounds on the ground-state energy of three electrons and one hole in two-dimension Variational bounds on the ground-state energy of three electrons and one hole in two-dimension

2000-12-31

arxiv.org/abs/cond-mat/0101004v2

Physics

Condensed Matter

Strongly Correlated Electrons

38 pages, 6 figures

Scientific paper

We consider a model of three electrons and one hole confined in a two-dimensional (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 ground-state 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.

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