  We present a detailed study of persistent current and low-field magnetic
susceptibility in single isolated normal metal mesoscopic rings and cylinders
in the tight-binding model with higher order hopping integral in the
Hamiltonian. Our exact calculations show that order of magnitude enhancement of
persistent current takes place even in presence of disorder if we include
higher order hopping integral in the Hamiltonian. In strictly one-channel
mesoscopic rings the sign of the low-field currents can be predicted exactly
even in presence of impurity. We observe that perfect rings with both odd and
even number of electrons support only diamagnetic currents. On the other hand
in the disordered rings, irrespective of realization of the disordered
configurations of the ring, we always get diamagnetic currents with odd number
of electrons and paramagnetic currents with even number of electrons. In
mesoscopic cylinders the sign of the low-field currents can't be predicted
exactly since it strongly depends on the total number of electrons, $N_e$, and
also on the disordered configurations of the system. From the variation of
persistent current amplitude with system size for constant electron density, we
conclude that the enhancement of persistent current due to additional higher
order hopping integrals are visible only in the mesoscopic regime.
