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We argue that tetragonal CuO (T-CuO) has the potential to finally settlelong-standing modelling issues for cuprate physics. We compare the one-holequasiparticle (qp) dispersion of T-CuO to that of cuprates, in the framework ofthe strongly-correlated ($U_{dd}\rightarrow \infty$) limit of the three-bandEmery model. Unlike in CuO$_2$, magnetic frustration in T-CuO breaks the $C_4$rotational symmetry and leads to strong deviations from the Zhang-Rice singletpicture in parts of the reciprocal space. Our results are consistent withangle-resolved photoemission spectroscopy data but in sharp contradiction tothose of a one-band model previously suggested for them. These differencesidentify T-CuO as an ideal material to test a variety of scenarios proposed forexplaining cuprate phenomenology.

Non-Zhang-Rice singlet character of the first ionization state of T-CuO