Ground-state properties of two-dimensional quantum fluid helium: Variational hypernetted chain methods

Journal Article · Thu May 01 04:00:00 EDT 1997 · Journal of Low Temperature Physics

DOI:https://doi.org/10.1007/BF02397458· OSTI ID:535606

Um, Chung-In; Kahng, Jae-Rok; Kim, Young-Seok ^[1]

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1. Korea Univ., Seoul (Korea, Republic of); and others

The authors calculate the ground-state energies and the radial distribution functions of two-dimensional quantum fluid {sup 4}He, mass 3 boson {sup 3}He and {sup 3}He within a hypernetted chain and a Fermi hypernetted chain summation method. To get more accurate results, they include three-body correlation functions in the trial wavefunctions and consider the contributions arising from elementary diagrams via scaling approximations. The two-dimensional {sup 4}He system has a binding energy of 0.84 K at an equilibrium density 0.042{Angstrom}{sup {minus}2}, which is closer to the result of a Green`s function Monte Carlo calculation than previous ones, while mass 3 boson {sup 3}He has 0.286 K at 0.025 {Angstrom}{sup {minus}2}. The {sup 3}He system is not self-bound and therefore not a liquid state due to its statistics and light mass of the {sup 3}He atom. The authors calculate the ground-state energy of two-dimensional liquid {sup 4}He 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 dimensions.

• Sponsoring Organization: USDOE
• OSTI ID: 535606
• Journal Information: Journal of Low Temperature Physics, Journal Name: Journal of Low Temperature Physics Journal Issue: 3-4 Vol. 107; ISSN JLTPAC; ISSN 0022-2291
• Country of Publication: United States
• Language: English

Related Subjects

66 PHYSICS
GROUND STATES
HELIUM 3
HELIUM 4
QUANTUM FLUIDS
TWO-DIMENSIONAL CALCULATIONS