  We analyze fermionic response of strongly correlated holographic matter in
presence of inhomogeneous periodically modulated potential mimicking the
crystal lattice. The modulation is sourced by a scalar operator that explicitly
breaks the translational symmetry in one direction. We compute the fermion
spectral function and show that it either exhibits a well defined Fermi surface
with umklapp gaps opening on the Brillouin zone boundary at small lattice wave
vector, or, when the wave vector is large, the Fermi surface is anisotropically
deformed and the quasiparticles get significantly broadened in the direction of
translation symmetry breaking. Making use of the ability of our model to
smoothly extrapolate to the homogeneous Q-lattice like setup, we show that this
novel effect is not due to the periodic modulation of the potential and Umklapp
physics, but rather due to the anisotropic features of the holographic horizon.
That means it encodes novel physics of strongly correlated critical systems
which may be relevant for phenomenology of exotic states of electron matter.
