  We consider a holographic theory as a Ginzberg-Landau theory working for
strongly interacting system near the quantum critical point: we take the bulk
matter field $\Phi^I(r,x)$, the dual of the fermion bilinear, as the order
parameter. We calculate and classify the fermion spectral functions in the
presence of such orders. Depending on the symmetry, we found spectral features
like the gap, pseudo-gap, flat disk bands and the Fermi-arc connecting the two
Dirac cones, which are familiar in Dirac material and Kondo lattice. Many of
above features are associated with the zero modes whose presence is tied with a
discrete symmetry of the interaction. The interaction induced zero modes either
makes the strongly correlated system fermi-liquid like, or creates a disk-like
flat band. Some of the order parameters in the bulk theory do not have an
interpretation of symmetry breaking in terms of the boundary space, which opens
the possibility of 'an order without symmetry breaking'.
