Motivated by recent experimental measurements, we study the quasiparticle spectra and the collective excitations in doped ${\mathrm{Sr}}_{2}{\mathrm{IrO}}_{4}$, in which the interesting interplay between the electronic correlations and strong spin-orbital coupling (SOC) exists. To include the SOC, we use the Hugenholtz diagrams to extend the fluctuation exchange (FLEX) approach to the case where the SU(2) symmetry can be broken. By using this generalized FLEX method, we find a weak pseudogap behavior near $(\ensuremath{\pi},0)$ in the slightly electron-doped system, with the corresponding Fermi arc formed by the partial destruction of Fermi surface. Similar features also appear in the hole-doped system; however, the position of the Fermi arc is rotated ${45}^{\ensuremath{\circ}}$ with respect to the former. These results are consistent with the recent angle-resolved photoemission spectra in ${\mathrm{Sr}}_{2}{\mathrm{IrO}}_{4}$. We suggest that these anomalous phenomena are caused by the scatterings of quasiparticles off the isospin fluctuation derived from the effective ${J}_{\text{eff}}=1/2$ doublet.
Read full abstract