Persistent currents flowing through disordered mesoscopic rings thread
ed by a magnetic flux are investigated. Models of fermions with on-sit
e interactions (Hubbard model) or models of spinless fermions with nea
rest neighbor interactions are considered on 2D cylinders with twisted
boundary conditions in one direction to account for a magnetic flux.
Self-consistent Hartree-Fock methods are used to treat the electron-el
ectron interaction beyond first order. We show that the second harmoni
c of the current (which is relevant in the diffusive regime) is strong
ly suppressed by the interaction in the case of spinless fermions whil
e it is significantly enhanced in the Hubbard model. Our data also str
ongly suggest that the reduction (increase) of this harmonic is relate
d to a strong increase (reduction) of the spatial fluctuations of the
charge density.