#### Abstract

The magnetization of quantum dots is discussed in terms of a relatively simple but exactly solvable model Hamiltonian. The model predicts oscillations in spin polarization as a function of dot radius for a fixed electron density. These oscillations in magnetization are shown to yield distinct signature in the momentum density of the electron gas, suggesting the usefulness of momentum resolved spectroscopies for investigating the magnetization of dot systems. We also present variational quantum Monte Carlo calculations on a square dot containing 12 electrons in order to gain insight into correlation effects on the interactions between like and unlike spins in a quantum dot.

#### Keywords

mesoscale, nanoscale physics, electron correlations, model Hamiltonian

#### Subject Categories

Condensed matter, Magnetization, Quantum dots

#### Disciplines

Physics

#### Publication Date

2004

#### Permanent URL

#### Recommended Citation

Bansil, A.; Nissenbaum, D.; Barbiellini, B.; and Saniz, R., "Electron correlations, spontaneous magnetization and momentum density in quantum dots" (2004). *Physics Faculty Publications.* Paper 165. http://hdl.handle.net/2047/d20000776

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## Notes

Originally posted at http://arxiv.org/abs/cond-mat/0405564v1. Preprint of an article published in Journal of Physics and Chemistry of Solids, v.65 no.12, 2004.