Signatures of the Dirac electron in the flux dependence of total persistent currents in isolated Aharonov-Bohm rings

This paper deals with the total persistent current at T = 0 produced by the exact energy solution of the Dirac electron moving on isolated 1D Aharonov-Bohm rings. Leading contributions concerning the non-relativistic limit are written down for large values of the electron number. Usual non-relativistic currents get reproduced, but now in terms of a reversed parity of the electron number. Such an 'anomaly' is able to serve as a signature of the Dirac electron referred to above. (fast track communication)