  With the help of the Green function technique and the equation of motion
approach, the electronic transport through a parallel-coupled double quantum
dot(DQD) is theoretically studied. Owing to the inter-dot coupling, the bonding
and antibonding states of the artificial quantum-dot-molecule may constitute an
appropriate basis set. Based on this picture, the Fano interference in the
conductance spectra of the DQD system is readily explained. The possibility of
manipulating the Fano lineshape in the tunnelling spectra of the DQD system is
explored by tuning the dot-lead coupling, the inter-dot coupling, the magnetic
flux threading the ring connecting dots and leads, and the flux difference
between two sub-rings. It has been found that by making use of various tuning,
the direction of the asymmetric tail of Fano lineshape may be flipped by
external fields, and the continuous conductance spectra may be magnetically
manipulated with lineshape retained. More importantly, by adjusting the
magnetic flux, the function of two molecular states can be exchanged, giving
rise to a swap effect, which might play a role as a qubit in the quantum
computation.
