  In recent years Quantum Monte Carlo techniques provided to be a valuable tool
to study strongly interacting Fermi gases at zero temperature. We have used QMC
methods to investigate several properties of the two-components Fermi gas at
unitarity and in the BCS-BEC crossover, both with equal and unequal masses
corresponding to the $Li-K$ Fermi mixture. In this paper we present several
recent QMC results, including the energy at zero and finite effective range,
the contact parameter and the static structure factor, which, at low momentum,
depends strongly on the phonons in the unitary Fermi gas.
