Title: Classification of the Mott gap

Abstract: In this paper, we demonstrate the classification of the gap in a holographic setup by studying the density of states. A gap can be classified into order gap and Mott gap depending on the presence of the order due to the symmetry breaking or not. A Mott insulating gap appears in the fermion spectrum due to the strong Coulomb interaction between the electrons. We then classify all Mott gaps as well as order gaps in one-flavor and two-flavor fermions. We also identified possible non-minimal interactions that may produce a flatband.