Phase Transitions in Quantum Dots

Details Phase Transitions in Quantum Dots Phase Transitions in Quantum Dots

1996-07-15

arxiv.org/abs/cond-mat/9607107v1

Physics

Condensed Matter

14 pages, 7 postscript figures

Scientific paper

10.1103/PhysRevB.54.14532

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 wavefunction 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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