Scale-dependent competing interactions: sign reversal of the average   persistent current
  The interaction-induced orbital magnetic response of a nanoscale system, modeled by the persistent current in a ring geometry, is evaluated for a system which is a superconductor in the bulk. The interplay of the renormalized Coulomb and Fr\"{o}hlich interactions is crucial. The diamagnetic response of the large superconductor may become paramagnetic when the finite-size-determined Thouless energy is larger than or on the order of the Debye energy. 
H. Bary-Soroker, O. Entin-Wohlman, Y. Imry, A. Aharony
cond-mat.mes-hall