  We present an exploratory study that suggests that Efimov physics, a leading
research theme in few-body quantum physics, can also induce stable many-body
ground states whose building blocks are universal clusters. We identify a range
of parameters in a mass-and-density imbalanced two-species fermionic mixture
for which the ground state is a gas of Efimov-related universal trimers. An
explicit calculation of the trimer-trimer interaction reveals that the trimer
phase is an SU$(3)$ Fermi liquid stable against recombination losses. We
propose to experimentally observe this phase in a fermionic $^6$Li-$^{53}$Cr
mixture.
