Persistent current of SU(N) fermions

We study the persistent current in a system of SU($N$) fermions with repulsive interaction confined ring-shaped potential and pierced by an effective magnetic flux. By applying combination Bethe ansatz numerical analysis, we demonstrate that, as combined effect spin correlations, interactions applied flux specific phenomenon can occur system: spinon creation ground state. As consequence, peculiar features arise. The elementary quantum, which fixes periodicity, is observed to evolve from single particle one extreme case fractional quantum shared all particles. show that depends on number components $N$, particles way certain physical regimes has universality traits. At integer filling fractions, suppressed above threshold Mott spectral gap. Despite its mesoscopic nature, displays clear finite size scaling behavior. Specific parity effects landscape hold.