  Recently, a homogeneous ansatz has been used to study cold dense nuclear
matter in the Sakai-Sugimoto model of holographic QCD. To justify this
homogeneous approximation we here investigate a homogeneous ansatz within a
low-dimensional toy version of Sakai-Sugimoto to study finite baryon density
configurations and compare it to full numerical solutions. We find the ansatz
corresponds to enforcing a dyon salt arrangement in which the soliton solutions
are split into half-soliton layers. Within this ansatz we find analogues of the
proposed baryonic popcorn transitions, in which solutions split into multiple
layers in the holographic direction. The homogeneous results are found to
qualitatively match the full numerical solutions, lending confidence to the
homogeneous approximations of the full Sakai-Sugimoto model. In addition, we
find exact compact solutions in the high density, flat space limit which
demonstrate the existence of further popcorn transitions to three layers and
beyond.
