Variational Monte Carlo for Interacting Electrons in Quantum Dots
arXiv:cond-mat/0505053 · doi:10.1007/s10909-005-6308-7
Abstract
We use a variational Monte Carlo algorithm to solve the electronic structure of two-dimensional semiconductor quantum dots in external magnetic field. We present accurate many-body wave functions for the system in various magnetic field regimes. We show the importance of symmetry, and demonstrate how it can be used to simplify the variational wave functions. We present in detail the algorithm for efficient wave function optimization. We also present a Monte Carlo -based diagonalization technique to solve the quantum dot problem in the strong magnetic field limit where the system is of a multiconfiguration nature.
34 pages, proceedings of the 1st International Meeting on Advances in Computational Many-Body Physics, to appear in Journal of Low Temperature Physics (vol. 140, nos. 3/4)
References in corpus (13)
- Two-electron quantum dot molecule: Composite particles and the spin phase diagram
- Electronic structure of rectangular quantum dots
- Vortex Clusters in Quantum Dots
- Wigner molecules in quantum dots: a quantum Monte Carlo study
- Testing of two-dimensional local approximations in the current-spin and spin-density-functional theories
- Broken Symmetry in Density-Functional Theory: Analysis and Cure
- Rectangular quantum dots in high magnetic fields
- Stability of vortex structures in quantum dots
- Various spin-polarization states beyond the maximum-density droplet: a quantum Monte Carlo study
- Role of interactions in the far-infrared spectrum of a lateral quantum dot molecule
- Classical electrons in laterally coupled diatomic 2D artificial molecule
- Vortex formation in quantum dots in high magnetic fields
- Singlet-triplet oscillations and far-infrared spectrum of four-minima quantum-dot molecule
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