Variational bounds on the ground-state energy of three electrons and one hole in two-dimension
Abstract
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.
- Publication:
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arXiv e-prints
- Pub Date:
- December 2000
- DOI:
- 10.48550/arXiv.cond-mat/0101004
- arXiv:
- arXiv:cond-mat/0101004
- Bibcode:
- 2001cond.mat..1004L
- Keywords:
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- Condensed Matter - Strongly Correlated Electrons
- E-Print:
- 38 pages, 6 figures