Thermodynamics of a liquid-metal model from high-temperature series expansions

Abstract

A lattice model for liquid metals proposed by Nara, Ogawa and Matsubara(1979) is studied using high-temperature series expansions. The grand-canonical potentials are expanded exactly to order beta 9 and the susceptibilities are expanded to order beta 11 on two-, three-, and four-dimensional hypercubic lattices. It is conjectured that, for fixed values of the fermion hopping energy and fermion chemical potential, the system goes critical only at particular values of the lattice-gas chemical potential. The critical values of the lattice-gas chemical potential and the critical temperature are calculated self-consistently and the critical exponent of the inverse isothermal compressibility is est..