Zero-temperature equation of state of two-dimensional 3He

TL;DR

This study calculates the zero-temperature equation of state for two-dimensional $^3$He using diffusion Monte Carlo, demonstrating its non-self-bound nature and the applicability of the gas phase to adsorbed systems.

Contribution

It provides the first accurate equation of state for 2D $^3$He at zero temperature using advanced Monte Carlo techniques.

Findings

2D $^3$He is non-self-bound due to Fermi statistics.

Backflow correlations improve equation of state accuracy.

Gas phase properties extend to $^3$He on strong substrates.

Abstract

The equation of state of two-dimensional $^3$He at zero temperature has been calculated using the diffusion Monte Carlo method. By means of a combination of the fixed-node and released-node techniques it is shown that backflow correlations provide a very accurate equation of state. The results prove unambiguously the non-self-bound character of two-dimensional $^3$He due to its Fermi statistics. We present solid evidence that the gas phase, predicted for the two-dimensional system, can be extrapolated to the case of $^3$He adsorbed on a strong substrate like graphite.