  We study the phase diagram of a holographic QCD using the probe D7 brane in
black D3 geometry with finite D-instanton charge. Due to quasi-confining nature
of the geometry, baryon vertex can exist outside the horizon so that we can
find D7 brane embeddings with finite baryon density and finite chiral
condensation as well as an embedding where only quarks are possible but chiral
condensation can be zero or non-zero. We study the phase transition and phase
diagram between these phases. We also calculated constituent quark mass and
binding energy of baryons as fucntion of the density.
