  We study weakly interacting mixtures of ultracold atoms composed of bosonic
and fermionic species in 2D and 1D. When interactions between particles are
appropriately tuned, self-bound quantum liquids can be formed. We show that
while formation of these droplets in 2D is due to the higher order correction
terms contributing to the total energy and originating in quantum fluctuations,
in 1D geometry the quantum fluctuations have a negligible role on formation of
the self-bound systems. The leading mean-field interactions are then sufficient
for droplet formation in 1D. We analyse stability conditions for 2D and 1D
systems and predict values of equilibrium densities of droplets.
