Ground-state structure and thermodynamics of Yukawa Bose fluids in dimensionality D = 3 and D = 2

Abstract

We evaluate the structure and the thermodynamic properties (internal energy, pressure and compressibility) of zero-temperature fluids of Bose particles interacting via the Yukawa potential in dimensionality D = 3 and D = 2. These systems provide simplified models for nuclear matter in D = 3 and for assemblies of flux lines in high- superconductors in D = 2. Our calculations are based on the dielectric formalism, with short-range correlations being treated in the self-consistent scheme of Singwi et al. In both dimensionalities our results for the ground-state energy demonstrate a crucial role of short-range correlations and are in good agreement with those of variational and diffusion Monte Carlo studies over extended ranges of values for the system parameters (reduced DeBoer length and reduced particle density). Reasonable agreement is also found for the pressure with the available diffusion Monte Carlo data in D = 2. The extent of the deviations from the compressibility sum rule in the theory is assessed for both dimensionalities. On all the above grounds it appears that the present approach is quite accurate for the high-density fluid and provides a useful starting point for fully quantitative studies of the low-density fluid.