Phase transitions in quantum dots
- 15 November 1996
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review B
- Vol. 54 (20) , 14532-14539
- https://doi.org/10.1103/physrevb.54.14532
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.Keywords
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This publication has 8 references indexed in Scilit:
- Monte-Carlo calculation of few-electron systems in quantum dotsSolid-State Electronics, 1994
- Sharp and smooth boundaries of quantum Hall liquidsPhysical Review B, 1994
- Electrons in quantum dots: A comparison of interaction energiesPhysical Review B, 1993
- Classical model of a Wigner crystal in a quantum dotSuperlattices and Microstructures, 1993
- Magic number ground states of quantum dots in a magnetic fieldPhysica B: Condensed Matter, 1993
- Comparison of a Hartree, a Hartree-Fock, and an exact treatment of quantum-dot heliumPhysical Review B, 1993
- Quantum Dots in Strong Magnetic Fields: Stability Criteria for the Maximum Density DropletAustralian Journal of Physics, 1993
- The Nuclear Many-Body ProblemPublished by Springer Nature ,1980