Fig. 3: Magnon dispersion and momentum dependence of quantum renormalization factor Zc.
From: Magnon interactions in a moderately correlated Mott insulator

Bottom panels (d–f, j–l) display the magnon dispersion along the indicated momentum trajectories for LCO/STO (green), LCO/LSAO (pink), and SCO/GSO (blue). The solid lines are corresponding fits using a Hubbard model including higher-order terms (see text). The parameters extracted from the fits are listed in Table 1. Blue dashed lines mark the magnon dispersion obtained assuming a constant Zc = 1.21916,29, with U = 2.15 eV, U/t = 6.25, \(t^{\prime} /t=-0.4\), and \(t{''} /t^{\prime}=-0.5\). Error bars indicate one standard deviation. The in-plane momentum amplitude Q// takes 0.461, 0.444, and 0.463 for LCO/STO, LCO/LSAO, and SCO/GSO, respectively. Data on LCO/STO and LCO/LSAO are taken from ref. 16. Top panels (a–c, g–i) display the momentum dependence of the quantum fluctuation factor Zc obtained from fitting with the Hubbard model.