Quantum Monte Carlo study of quantum dots in magnetic fields
Abstract
We have studied the ground state energies and quantum numbers of confined two-dimensional (2D) electrons in weak and intermediate magnetic field strengths using quantum Monte Carlo methods. These 2D quantum dots are of theoretical interest, because it is possible to go from a weakly to a strongly correlated system by tuning the relative strength of the external potential to the electron-electron interaction. The accuracy of current spin density functional theory, and of the variational and diffusion Monte Carlo methods using single and multi configuration wave functions, is studied by comparison with results obtained by exact diagonalization. Using optimized trial wave functions, we calculate pair correlation functions as a function of the magnetic field and confinement strength. (Supported by the DOE and NSF)
- Publication:
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APS March Meeting Abstracts
- Pub Date:
- March 2004
- Bibcode:
- 2004APS..MARJ11003G