  By imposing the relativistic boundary term and Lorentz violating that in the
dilatonic black brane with a Lifshitz like IR geometry and $AdS_4$ boundary, we
study the properties of the spectral functions of the fermions. We find that in
the two fixed points, there are emergent Fermi-surface structures and many
properties seem to be in agreement with that of Fermi liquid. Especially, the
low energy behavior exhibits a linear dispersion relation. In addition, we also
find that a holographic flat band also emerges in this background of the
dilatonic black brane.

High Energy Physics - Theory