Addition and removal energies of circular quantum dots

Abstract

We present and compare several many-body methods as applied to two-dimensional quantum dots with circular symmetry. We calculate the approximate ground state energy using a harmonic oscillator basis optimized by Hartree-Fock (HF) theory and further improve the ground state energy using two post-HF methods: in-medium similarity renormalization group (IM-SRG) and coupled cluster with singles and doubles (CCSD). With the application of quasidegenerate perturbation theory (QDPT) or the equations-of-motion (EOM) method to the results of the previous two methods, we obtain addition and removal energies as well. Our results are benchmarked against full configuration interaction (FCI) and diffusion Monte Carlo (DMC) where available. We examine the rate of convergence and perform extrapolations to the infinite basis limit using a power-law model.

Fundamental gaps of quantum dots on the cheap

“…19. Although alternative methodologies to direct exact diagonalization have been developed, 61 large benchmark data sets are still challenging to be produced. Fig.…”

Evaluation of Gaussian integrals for the modeling of two-dimensional quantum systems

“…Two-dimensional many-particle quantum mechanical systems are routinely studied both theoretically and experimentally. Systems such as lateral quantum dots and rings, [1][2][3][4][5][6][7] and electrons on liquid helium [8] are confined to planar motion and can be treated as two-dimensional structures. They are seen as promising candidate models for qubits, and can be used to build quantum computers.…”