Are you geometrically frustrated?
(Geometrical) frustration is a phenomenon in condensed matter physics in which the geometrical properties of the crystal lattice or the presence of conflicting atomic forces forbid simultaneous minimization of the interaction energies acting at a given site. This may lead to highly degenerate ground states with a nonzero entropy at zero temperature. Or in simple terms, the substance can’t be completely and totally frozen, ever, because the structure it forms prevents collapse to a single minimal-energy state - something in there can always move, even at absolute zero, even without input of energy.