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We study the persistent current in a system of SU($N$) fermions withrepulsive interaction confined in a ring-shaped potential and pierced by aneffective magnetic flux. By applying a combination of Bethe ansatz andnumerical analysis, we demonstrate that, as a combined effect of spincorrelations, interactions and applied flux a specific phenomenon can occur inthe system: spinon creation in the ground state. As a consequence, peculiarfeatures in the persistent current arise. The elementary flux quantum, whichfixes the persistent current periodicity, is observed to evolve from a singleparticle one to an extreme case of fractional flux quantum, in which onequantum is shared by all the particles. We show that the persistent currentdepends on the number of spin components $N$, number of particles andinteraction in a specific way that in certain physical regimes has universalitytraits. At integer filling fractions, the persistent current is suppressedabove a threshold of the repulsive interaction by the Mott spectral gap.Despite its mesoscopic nature, the current displays a clear finite size scalingbehavior. Specific parity effects in the persistent current landscape hold.

Persistent Current of SU(N) Fermions