We investigate multicomponent fermions in a flat band and predict experimental signatures of non-Fermi liquid behavior. We use dynamical mean-field theory to obtain the density, double occupancy and entropy in a Lieb lattice for N=2 and N=4 components. We derive a mean-field scaling relation between the results for different values of N , and study its breakdown due to beyond-mean field effects. The predicted signatures occur at temperatures above the Néel temperature and persist in presence of a harmonic trapping potential, thus they are observable with current ultracold gas experiments.

Pramod Kumar

Aalto University, Finland