  We investigate properties of spin-imbalanced ultracold Fermi gas in a large
range of spin polarizations at low temperatures. We present results of
microscopic calculations based on mean-field and density functional theory
approaches, with no symmetry constraints. At low polarization values we predict
the structure of the system as consisting of several spin-polarized droplets.
As the polarization increases, the system self-organizes into a disordered
structures similar to liquid crystals, and energetically they can compete with
ordered structures such as grid-like domain walls. At higher polarizations the
system starts to develop regularities that, in principle, can be called
supersolid, where periodic density modulation and pairing correlations coexist.
The robustness of the results has been checked with respect to temperature
effects, dimensionality, and the presence of a trapping potential. Dynamical
stability has also been investigated.
