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 $\mathcal{N}=2$ and $\mathcal{N}=4$ components. We derive a mean-field scaling relation between the results for different values of $\mathcal{N}$, and study its breakdown due to beyond mean-field effects. The predicted signatures occur at temperatures above the Néel temperature and persists even in the presence of a trapping potential, thus they are observable in current ultracold gas experiments.

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• Entropy
• Fermions
• Quasiparticles & collective excitations
• Spin fluctuations
• Temperature
• Strongly correlated systems
• Two-dimensional electron system
• Ultracold gases
• Dynamical mean field theory
• Electron-correlation calculations
• Fermi liquid theory
• Hubbard model
• Many-body techniques
• Mean field theory
• Non-Fermi-liquid theory