Density functional study of two-dimensional He-4 clusters

TL;DR

This study uses a zero-range density functional to accurately compute binding energies and density profiles of two-dimensional liquid He-4 clusters with various geometries, aligning well with previous Monte Carlo results.

Contribution

It introduces a density functional tailored to reproduce line tension from Monte Carlo calculations for 2D He-4 clusters, enabling efficient and accurate energy predictions.

Findings

Accurate binding energies for large 2D He-4 clusters.

Density profiles consistent with diffusion Monte Carlo results.

Functional reproduces line tension from prior calculations.

Abstract

Binding energies and density profiles of two-dimensional systems of liquid He-4 with different geometries are studied by means of a zero-range density functional adjusted to reproduce the line tension obtained in a previous diffusion Monte Carlo calculation (lambda_{DMC}=0.121 K/A). It is shown that this density functional provides accurate results for the binding energy of large clusters with a reasonable computational effort.