Ci. Um et al., GROUND-STATE PROPERTIES OF 2-DIMENSIONAL QUANTUM FLUID HELIUM - VARIATIONAL HYPERNETTED-CHAIN METHODS, Journal of low temperature physics, 107(3-4), 1997, pp. 283-303
We calculate the ground-state energies and the radial distribution fun
ctions of two-dimensional quantum fluid He-4, mass 3 boson He-3 and He
-3 within a hypernetted chain and a Fermi hypernetted chain summation
method To get more accurate results, we include three-body con elation
functions in the trial wavefunctions and consider the contributions a
rising from elementary diagrams via scaling approximations. The two-di
mensional 4He system has a binding energy, of 0.84 K at an equilibrium
density 0.042 Angstrom(-2), which is closer to the result of a Green'
s function Monte Carlo calculation than previous ones, while mass 3 bo
son He-3 has 0.286 K at 0.025 Angstrom(-2). The He-3 system is not sel
f-bound and therefore not a liquid state due to ifs statistics and lig
ht mass of the He-3 atom. We calculate the ground-state energy of two-
dimensional liquid He-4 through a Lennard-Jones potential and that of
Aziz to compare the results of both. Aziz's potential gives lower and
more accurate energies than the Lennard-Jones potential, as in three d
imensions.