Anna MinguzziCNRS and  Universite Grenoble Alpes, LPMMC, Grenoble France We study the persistent currents of an interacting  Fermi gas confined in a tightly confining ring trap and subjected to an artificial gauge field. For attractive interactions, we study the currents all through the BCS-BEC crossover. At weak attractions, on the BCS side, fermions display a parity effect in the persistent currents, i.e. their response to the gauge field is paramagnetic or diamagnetic depending on the number of pairs on the ring. At resonance and on the BEC side of the crossover, we find a halving of the periodicity of the ground-state energy as a function of the artificial gauge field…