  In this article we present a novel set of solutions of the probe brane system
consisting of Nf-D5 probe branes embedded in the near-horizon geometry
generated by Nc-D3 branes, with the D5 worldvolume U(1) gauge fields turned on.
Our system is holographically dual to a supersymmetric defect field theory at
finite density in non-trivial vacua. We find that a large class of vacua turns
out to satisfy a no-force condition, even with supersymmetry explicitly broken
by the finite density; our solutions include configuration in which charge
separates from the horizon and is instead carried by probe branes outside the
horizon. The free energy is lowered in this process. Whether this corresponds
to a genuine instability of the finite-density probe brane system remains to be
seen.
