Does frustration describe doping in models for high-temperature superconductors?

Since the discovery of the high-Tc superconductors there has been a revival of interest in frustrated magnetic systems. In this work, we compare predictions of frustrated and doped Hamiltonians by studying the t-J model with one hole and the frustrated Heisenberg J-J' model. In particular, we compare for both systems the dynamic spin-spin structure factor S(q,{ω}), and the B1g Raman scattering spectrum R({ω}) at zero temperature. We observe that, for the t-J model, both quantities are in qualitative agreement with experimental measurements while the corresponding ones for the J-J' model are not. These results indicate that doped systems cannot be accurately modeled by a purely spin model and that the latter, including the chiral spin states, might not be relevant to describe measurable quantities of the high-Tc materials.