▎ 摘　　要

Strictly two-dimensional fluid He-3 does not form a liquid state down to absolute zero temperature because of quantum correlations. Whereas the liquefaction is probable if He-3 adsorbed on strongly interacting substrates such as graphene. In present work we have calculated the ground state thermodynamic properties of two-dimensional He-3 extended on corrugated graphene by the lowest order constrained variational method. Total energy, equation of state, and compressibility of the system have been computed. Our calculations show that the system experiences a liquid-gas first order phase transition in the density range 0.011 < n < 0.026 angstrom(-2). The remarkable point is the very low density of He-3 in the liquid phase.