We investigate by resonant inelastic x-ray scattering the magnetic excitations in thin films of tetragonal CuO. We identify a spin wave excitation, dispersing on two cupratelike antiferromagnetic sublattices. Its energy at the boundary of the Brillouin zone (220 meV), is significantly lower than typical values (E ∼ 300 meV) found in two-dimensional cuprates. A spin wave expansion starting from an extended Hubbard model suggests two possible scenarios for this energy lowering. DOI: 10.1103/PhysRevB.92.140404 PACS number(s): 74.72.Cj, 74.25.Jb, 75.30.Ds, 78.70.Ck Magnetism in the undoped, insulating quasi-twodimensional (2D) cuprates is determined by the 180• Cu-O-Cu bonds of their corner-sharing copper oxide layers [ Fig. 1(a) [3]. Phenomenologically, these systems can be described by extended spin-1/2 Heisenberg models with antiferromagnetic coupling on a square lattice [4,5], in agreement with secondorder superexchange theory. However, to make contact with other spectroscopies one needs to adopt a more microscopic description in terms of an extended Hubbard model. To be quantitative, it is necessary to go beyond second-order perturbation theory and to consider the effective spin model generated by the one-band Hubbard model up to fourth order in hopping. Such a procedure renormalizes the two-spin interactions and also leads to four-spin interactions. This approach yields more realistic values for the on-site Coulomb repulsion U , is consistent with higher-energy resonant inelastic x-ray scattering (RIXS) and angle-resolved photoemission spectroscopy (ARPES) data, and provides good fits to the experimentally observed spin excitation spectra [6,7].A recent exciting development was the discovery of a new tetragonal form of the simple binary oxide CuO, with an alternative structure to that of the cuprates. Tetragonal CuO (T-CuO) can be grown epitaxially on a SrTiO 3 (001) substrate up to a thickness of several unit cells [8][9][10]. In this material CuO 6 octahedra give rise to infinite CuO layers, consisting of edge-sharing CuO 4 plaquettes, stacked along the c axis. At variance with the CuO 2 cuprate layers, oxygen ions do not bridge nearest-neighbor (NN) but next-NN copper ions. Electronically, the edge-sharing structure is well described by two interpenetrating corner-sharing sublattices [ Fig. 1(b) • Cu-O-Cu bonds, the coupling could be either ferromagnetic or antiferromagnetic but, in any case, it introduces frustration. In the classical limit, the system would still develop independent AFM Heisenberg order on each sublattice. However, if quantum fluctuations are taken into account, J d is expected to lock the relative orientation of the two sublattices and to break the fourfold rotational C 4 symmetry, leading to an additional Ising order parameter [12][13][14].To examine these speculations, we have studied the magnetic excitation spectrum of T-CuO. Since inelastic neutron scattering is inadequate due to the limited film thickness, we employ RIXS at the Cu L 3 (Cu 2p 3/2 → 3d) edge [15]. We find a magnon...