Diffusion Monte Carlo study of two-dimensional liquid $^4$He

TL;DR

This study uses diffusion Monte Carlo simulations with an improved helium interaction potential to accurately analyze the ground-state properties of two-dimensional liquid helium at zero temperature, including its equation of state and microscopic properties.

Contribution

It provides the first detailed diffusion Monte Carlo analysis of 2D liquid helium using a revised Aziz potential, covering a wide density range and key physical properties.

Findings

Accurate equation of state over a wide density range

Estimated spinodal decomposition density

Calculated microscopic properties like radial distribution and condensate fraction

Abstract

The ground-state properties of two-dimensional liquid $^4$He at zero temperature are studied by means of a quadratic diffusion Monte Carlo method. As interatomic potential we use a revised version of the HFDHE2 Aziz potential which is expected to give a better description of the interaction between helium atoms. The equation of state is determined with great accuracy over a wide range of densities in the liquid phase from the spinodal point up to the freezing density. The spinodal decomposition density is estimated and other properties of the liquid, such as radial distribution function, static form factor, momentum distribution and density dependence of the condensate fraction are all presented.