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Phase transitions in quantum dots

Müller, H.-M. and Koonin, S. E. (1996) Phase transitions in quantum dots. Physical Review B, 54 (20). pp. 14532-14539. ISSN 0163-1829. doi:10.1103/PhysRevB.54.14532.

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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.

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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.
Issue or Number:20
Record Number:CaltechAUTHORS:MULprb96
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:6447
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Deposited On:09 Dec 2006
Last Modified:08 Nov 2021 20:34

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