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Published November 15, 1996 | public
Journal Article Open

Phase transitions in quantum dots


We perform Hartree-Fock calculations to show that quantum dots (i.e., two-dimensional systems of up to twenty interacting electrons in an external parabolic potential) undergo a gradual transition to a spin-polarized Wigner crystal with increasing magnetic-field strength. The phase diagram and ground-state energies have been determined. We tried to improve the ground state of the Wigner crystal by introducing a Jastrow ansatz for the wave function and performing a variational Monte Carlo calculation. The existence of so-called magic numbers was also investigated. Finally, we also calculated the heat capacity associated with the rotational degree of freedom of deformed many-body states.

Additional Information

©1996 The American Physical Society Received 16 July 1996 This work was supported in part by the National Science Foundation, Grants No. PHY94-12818 and No. PHY94-20470. We thank Karlheinz Langanke and Ming Chung Chu for helpful discussions.


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August 22, 2023
October 16, 2023