  In this paper, we develop the holographic mean field theory for strongly
interacting fermion systems. We investigate various types of the
symmetry-breakings and their effect on the spectral function. We found analytic
expressions of fermion Green's functions in the probe-limit for all types of
tensor order parameter fields. We classified the spectral shapes and
singularity types from the analytic Green's function. We calculated the
fermions spectral function in the full backreacted background and then compared
it with the analytic results to show the reliability of analytic results in the
probe limit.
