  We investigate spatially inhomogeneous solutions in a top-down holographic
model: the D3/D7 model which provides a holographic description of the chiral
phase transition for a finite external magnetic field, chemical potential, and
temperature. We numerically find a domain wall (or kink) solution in the three
dimensional space, which incorporates between the chiral symmetry broken phase
at the spatial infinity, under the homogeneous sources. Along with the
inhomogeneity of the chiral condensate, the charge density is also spatially
modulated. The modulated charge density and finite magnetic field lead to the
chiral edge current close to the domain wall. We explore the dependences of
those profiles on the chemical potential and temperature near the first and
second order phase transition points. Our results indicate that the
inhomogeneous solutions we found are in good agreement with those obtained by
the Ginzburg--Landau theory in the vicinity of the transition points.
