Comment on "Measurement of x-ray absorption spectra of overdoped high-temperature cuprate superconductors: Inapplicability of the single-band Hubbard model"

In a recent Letter, Peets, et al. measured the x-ray intensity at the oxygen K-edge in overdoped La${}_{2-x}$Sr${}_x$CuO${}_{4\pm \delta }$ (LSCO) and Tl${}_2$Ba${}_2$CuO${}_{6+\delta }$. They claimed that, unlike the underdoped samples of LSCO and YBa${}_2$Cu${}_3$O${}_x$ in which the integrated intensity increases at least linearly with doping, it saturates abruptly for a hole count exceeding $x\approx 0.23$. They interpreted the saturation as a breakdown of the 1-band Hubbard model in the cuprates. However, we show that their results are in quantitative agreement with the 1-band Hubbard model.