Configuration interaction method for Fock-Darwin states
We present a configuration interaction method optimized for Fock-Darwin states of two-dimensional quantum dots with an axially symmetric, parabolic confinement potential subject to a perpendicular magnetic field. The optimization explicitly accounts for geometrical and dynamical symmetries of the Fo...
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| creator | Wensauer, Andreas Korkusinski, Marek Hawrylak, Pawel |
| description | We present a configuration interaction method optimized for Fock-Darwin states of two-dimensional quantum dots with an axially symmetric, parabolic confinement potential subject to a perpendicular magnetic field. The optimization explicitly accounts for geometrical and dynamical symmetries of the Fock-Darwin single-particle states and for many-particle symmetries associated with the center-of-mass motion and with the total spin. This results in a basis set of reduced size and improved accuracy. The numerical results compare well with the quantum Monte Carlo and stochastic variational methods. The method is illustrated by the evolution of a strongly correlated few-electron droplet in a magnetic field in the regime of the fractional quantum Hall effect. |
| doi_str_mv | 10.48550/arxiv.0304275 |
| format | Article |
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| subjects | Configuration interaction Magnetic fields Monte Carlo simulation Optimization Quantum dots Quantum Hall effect Variational methods |
| title | Configuration interaction method for Fock-Darwin states |
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