  Based on the possible superconducting (SC) pairing symmetries recently
proposed, the quasiparticle interference (QPI) patterns in electron- and
hole-doped Sr$_{2}$IrO$_{4}$ are theoretically investigated. In the
electron-doped case, the QPI spectra can be explained based on a model similar
to the octet model of the cuprates while in the hole-doped case, both the Fermi
surface topology and the sign of the SC order parameter resemble those of the
iron pnictides and there exists a QPI vector resulting from the interpocket
scattering between the electron and hole pockets. In both cases, the evolution
of the QPI vectors with energy and their behaviors in the nonmagnetic and
magnetic impurity scattering cases can well be explained based on the evolution
of the constant-energy contours and the sign structure of the SC order
parameter. The QPI spectra presented in this paper can be compared with future
scanning tunneling microscopy experiments to test whether there are SC phases
in electron- and hole-doped Sr$_{2}$IrO$_{4}$ and what the pairing symmetry is.
