  We construct a series of charged dilatonic black holes which share zero
entropy in the zero temperature limit using Einstein-Maxwell-Dilaton theories.
In these black holes, the wave functions and the Green's functions of massless
fermions can be solved exactly in terms of special functions in the phase space
of $(\omega,k)$. We observe that for sufficiently large charge, there are many
poles in the Green's function with vanishing $\omega$, which strongly signifies
that Fermi surfaces exist in these holographic systems. The new distinguishing
properties of the Green's function arising in these systems were illustrated
with great details. We also study the poles motion of the Green's function for
arbitrary (complex) frequency. Our analytic results provide a more realistic
and elegant approach to study strongly correlated fermionic systems using
gauge/gravity duality.
