Fermi arcs vs Fermi pockets in Perovskite Iridates: A first principles study

The Ruddlesden-Popper series of iridates (Sr$_{n+1}$Ir$_{n}$O$_{3n+1}$) and 3d transition metal copper oxides (cuprates) share key features in their structural and electronic properties. A recent angle-resolved photoemission (ARPES) study\footnote{Science 345, 187-190 (2014)} of electron-doped Sr$_{2}$IrO$_{4}$ reported similar features in underdoped cuprates, including the presence of disconnected gapless segments of the Fermi surface or Fermi arcs. We report first principles calculations on electron-doped Sr$_{3}$Ir$_{2}$O$_{7}$ to gain insight into the evolution of the Fermi surface with doping. We discuss Fermi arcs and Fermi pockets in single and bilayer iridates, and show that even though Fermi arcs are a generic feature of the cuprates, this is not the case in the iridates.