Two-dimensional clusters of liquid 4-He

TL;DR

This paper uses diffusion Monte Carlo calculations to analyze two-dimensional liquid helium-4 clusters, deriving their binding energies, size, density profiles, and line tension, providing detailed insights into their quantum properties.

Contribution

It introduces a precise calculation of binding energies and line tension for 2D helium-4 clusters using diffusion Monte Carlo, with a novel fit to a mass formula.

Findings

Line tension of 0.121 K/A determined

Binding energies fit by a mass formula in powers of N^{-1/2}

Sizes and density profiles characterized

Abstract

The binding energies of two-dimensional clusters (puddles) of $^4$He are calculated in the framework of the diffusion Monte Carlo method. The results are very well fitted by a mass formula in powers of $x=N^{-1/2}$, where $N$ is the number of particles. The analysis of the mass formula allows for the extraction of the line tension, which turns out to be 0.121 K/A. Sizes and density profiles of the puddles are also reported.