Phase transitions in quantum dots

H.-M. Müller and S. E. Koonin
Phys. Rev. B 54, 14532 – Published 15 November 1996
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Abstract

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. © 1996 The American Physical Society.

  • Received 16 July 1996

DOI:https://doi.org/10.1103/PhysRevB.54.14532

©1996 American Physical Society

Authors & Affiliations

H.-M. Müller and S. E. Koonin

  • W. K. Kellogg Radiation Laboratory, 106-38, California Institute of Technology, Pasadena, California 91125

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Issue

Vol. 54, Iss. 20 — 15 November 1996

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