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We study $1s$ and $2p$ hard x-ray photoemission spectra (XPS) in a series oflate transition metal oxides: Fe$_2$O$_3$ (3$d^{5}$), FeTiO$_3$ (3$d^{6}$), CoO(3$d^{7}$) and NiO (3$d^{8}$). The experimental spectra are analyzed with twotheoretical approaches: the MO$_6$ cluster model and the local densityapproximation (LDA) + dynamical mean-field theory (DMFT). Owing to the absenceof the core-valence multiplets and spin-orbit coupling, 1$s$ XPS is found to bea sensitive probe of chemical bonding and nonlocal charge-transfer screening,providing complementary information to 2$p$ XPS. The 1$s$ XPS spectra are usedto assess the accuracy of the $ab$-initio LDA+DMFT approach, developed recentlyto study the material-specific charge-transfer effects in core-level XPS.

Charge-transfer effect in hard x-ray 1$s$ and 2$p$ photoemission spectra: LDA+DMFT and cluster-model analysis