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We address the role of non-local Coulomb correlations and short-rangemagnetic fluctuations in the high-temperature phase of Sr$_2$IrO$_4$ withinstate-of-the-art spectroscopic and first-principles theoretical methods.Introducing a novel cluster dynamical mean field scheme, we computemomentum-resolved spectral functions, which we find to be in excellentagreement with angle-resolved photoemission spectra. We show that whileshort-range antiferromagnetic fluctuations are crucial to account for theelectronic properties of the material even in the high-temperature paramagneticphase, long-range magnetic order is not a necessary ingredient of theinsulating state. Upon doping, an exotic metallic state is generated,exhibiting cuprate-like pseudo-gap spectral properties, for which we propose asurprisingly simple theoretical mechanism.

physical review materials

Non-local Coulomb correlations in pure and electron-doped  ${\mathrm{Sr}}_{2}{\mathrm{IrO}}_{4}$: spectral functions, Fermi surface and  pseudogap-like spectral weight distributions from oriented cluster dynamical  mean field theory