# Persistent Current of SU(N) Fermions

### Submission summary

 As Contributors: Wayne Jordan Chetcuti Preprint link: scipost_202108_00063v2 Date submitted: 2021-11-23 20:29 Submitted by: Chetcuti, Wayne Jordan Submitted to: SciPost Physics Academic field: Physics Specialties: Condensed Matter Physics - Theory Approach: Theoretical

### Abstract

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

###### Current status:
Editor-in-charge assigned

We thank the Referees for their comments and for recommending the publication of our manuscript in SciPost Physics. Please find the recommended changes in the manuscript attached below.

### List of changes

In line 2, paragraph 3 on page 2, we added "We refer as mesoscopic effects as those ones arising on length scales that are comparable with the particles’ coherence length."