  When the degeneracies of the ring-Hamiltonian are removed by the asymmetric
ring-to-electrodes configuration for an open quantum ring (OQR), the overall
junction transmission function exhibits fano-type antiresonance, resulting a
net circular current appears within the channel, that is the ring around the
degenerate energy levels of the ring-Hamiltonian. We investigate the system
size scaling properties of the channel conductance and the overall junction
conductance of an OQR. Ballistic transport is the unhindered flow of a charge
carrier within a conductor. Here we find beyond-ballistic transport near both
the degenerate and non-degenerate eigenenergies of the ring-Hamiltonian,
depending on the ring-to-lead configuration. This is a purely OQR phenomenon
associated with the quantum interference effect between two counter-propagating
electronic waves having nearly equal and opposite momenta. Thus there is no
equivalent phenomenon in open quantum junctions with linear channel.
