The distribution of persistent currents of small disordered 2D cylinders are calculated by an exact numerical diagonalization of a tight-binding interacting model Hamiltonian. The distribution is strongly influenced by the strength of the electron-electron (e-e) interactions. For strong e-e interactions there is almost no probability of measuring persistent currents in the direction opposite to the average current.
Bibliographical noteFunding Information:
In conclusion, it is clear that e-e interactions plays an important role in determining the distribution of the persistent current. The magnitude of the average cur- rent is strongly enhanced, while the second moment of the current is only moderately enhanced. From the form of the current distribution it is clear that the distribution can not be characterized by its first and second moments. Further work on the characterization of the distribution of the persistent current in the interacting case is in progress. Acknowoledgements - R.B is greatful to the Alon Foundation and the US-Israel Binational Science Foundation for financial support.