LDA$^\prime$+DMFT investigation of electronic structure of K$_{1-x}$Fe$_{2-y}$Se$_2$ superconductor

We investigate electronic structure of the new iron chalcogenide high temperature superconductor K$_{1-x}$Fe$_{2-y}$Se$_2$ (hole doped case with $x=0.24$, $y=0.28$) in the normal phase using the novel LDA$^\prime$+DMFT computational approach. We show that this iron chalcogenide is more correlated in a sense of bandwidth renormalization (energy scale compression by factor about 5 in the interval $\pm1.5$ eV), than typical iron pnictides (compression factor about 2), though the Coulomb interaction strength is almost the same in both families. Our results for spectral densities are in general agreement with recent ARPES data on this system. It is found that all Fe-$3d(t_{2g})$ bands crossing the Fermi level have equal renormalization, in contrast to some previous interpretations. Electronic states at the Fermi level are of predominantly $xy$ symmetry. Also we show that LDA$^\prime$+DMFT results are in better agreement with experimental spectral function maps, than the results of conventional LDA+DMFT. Finally we make predictions for photoemission spectra lineshape for K$_{0.76}$Fe$_{1.72}$Se$_2$.