Configuration interaction method for Fock-Darwin states

TL;DR

This paper introduces an optimized configuration interaction method tailored for Fock-Darwin states in 2D quantum dots, enhancing computational efficiency and accuracy for strongly correlated electron systems under magnetic fields.

Contribution

The method explicitly incorporates symmetries of Fock-Darwin states and many-particle systems, resulting in a smaller basis set and improved precision compared to previous approaches.

Findings

Method compares well with quantum Monte Carlo results.

Successfully models evolution of strongly correlated electrons in magnetic fields.

Provides insights into fractional quantum Hall regime.

Abstract

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.