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Published on: May 27, 2020
Full configuration interaction approach to the few-electron problem in artificial atoms
Massimo Rontani1, Carlo Cavazzoni, Devis Bellucci
1CNR-INFM National Research Center on nanoStructures and bioSystems at Surfaces (S3), Via Campi 213/A, 41100 Modena MO, Italy. rontani@unimore.it
The Journal of Chemical Physics
|April 8, 2006
Summary
We developed a new computational code for simulating electron interactions in quantum dots. This method accurately models strongly correlated systems, offering insights into artificial atom behavior.
Area of Science:
- Quantum physics
- Condensed matter physics
- Computational chemistry
Background:
- Semiconductor quantum dots, or artificial atoms, are crucial for studying electron behavior.
- Understanding strong electron-electron interaction is key in these systems.
- Accurate simulation of few-electron systems is computationally challenging.
Purpose of the Study:
- To introduce a high-performance configuration interaction code for calculating low-energy eigenstates.
- To enable accurate simulations of strongly correlated electrons in quantum dots.
- To provide a flexible and scalable method for studying artificial atoms.
Main Methods:
- Utilizes a single-particle representation independent of the basis set.
- Employs a symmetry-exploiting reduction of the secular equation.
- Diagonalizes the Hamiltonian using a parallelized Lanczos algorithm.
- Calculates wave functions and energies for excited states.
Main Results:
- The code demonstrates excellent scalability in parallel environments.
- Accuracy is validated for up to eight electrons in a 2D harmonic trap.
- The method successfully models the Wigner regime where correlations dominate.
- Comparison with quantum Monte Carlo simulations shows high accuracy.
Conclusions:
- The new configuration interaction code is powerful and flexible for simulating strongly correlated electron systems.
- It accurately models few-electron behavior in quantum dots, including the Wigner regime.
- The method offers a robust approach for understanding artificial atoms and related quantum phenomena.
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