The Classical-Map Hyper-Netted-Chain (CHNC) technique for inhomogeneous electron systems. Application to quantum dots

TL;DR

This paper introduces the Classical-map Hyper-Netted-Chain (CHNC) method for calculating properties of inhomogeneous electron systems like quantum dots, demonstrating its effectiveness through comparisons with established quantum Monte Carlo and density functional results.

Contribution

The paper extends the CHNC technique to non-uniform systems such as quantum dots, providing a new, simplified approach for calculating their charge densities and energies.

Findings

CHNC accurately predicts charge densities in quantum dots.

Results agree well with quantum Monte Carlo and DFT calculations.

The method is effective for systems with up to 210 electrons.

Abstract

The Classical-map Hyper-Netted-Chain (CHNC) technique is a simple method of calculating quantum pair-distribution functions, spin-dependent energies, etc., of strongly-interacting {\it uniform} systems. We present CHNC calculations of charge densities and energies of {\it non-uniform} systems, viz., quantum dots, and compare with quantum Monte Carlo and density -functional results. Results for up to 210 electrons are reported.