Flat band induced non-Fermi liquid behavior of multicomponent fermions

Abstract

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 persist in presence of a harmonic trapping potential, thus they are observable with current ultracold gas experiments.

arXiv comment6 pages, 5 figures and and a supplementary material

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• Testing the tomographic Fermi liquid hypothesis with high-order cyclotron resonance
• Excitation spectra of strongly interacting bosons in the flat-band Lieb lattice
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• Insulator-pseudogap crossover in the Lieb lattice