Extending the Gutzwiller approximation for liquid 3He by including intersite correlations

Abstract

AbstractThe simple Gutzwiller approximation, applied to the approach to Mott localization in a half‐filled band Hubbard model, gives a remarkably good description of the properties of liquid 3He as the liquid‐solid transition is approached under pressure. The key variable, the density of unbound doubly occupied and empty sites is evaluated keeping only single site correlations. We extend the Gutzwiller approximation to incorporate nearest neighbor correlations. This extension improves the agreement with the experimental evolution of the spin susceptibility and effective mass with pressure, but does not remove the large discrepancy in the compressibility.