Fig. 5
From: Emergent bound states and impurity pairs in chemically doped Shastry-Sutherland system
iPEPS simulation and magnetization measurements for the Mg doped SS model. a iPEPS magnetization curve obtained using a 12 × 12 unit cell with eight impurity sites. Black solid dots represent the centers of the plateaus. The full lines are linear fits to the black solid dots at high and low-field regions, respectively. Dashed lines indicate H’C2, and H’C3. A clear slope change is identified at H’C3. b Example spin configuration obtained in the total Sz = 11 sector. The size of the spins scale with the magnitude of the local magnetic moment, where black (red) arrows point along (opposite to) the external magnetic field. The thickness of the gray bonds scales with the local bond energy (the thicker the lower the energy). c Mg-doping dependence of the normalized magnetization, M/Mref, at H’C2 (magenta) and H’C3 (blue), obtained from experimental results on the x = 0.02, 0.03, and 0.05 samples, along with iPEPS simulation results for M/Msat with an effective doping x = 0.056. Dashed line indicates the magnetization at the 1/8 plateau. The error bars of the magnetization measurements result from the uncertainty in determining magnetization values using the method shown in Supplementary Fig. 3. The iPEPS error bar takes into account the uncertainty of the location of H’C3 due to the finite unit cell size. d Special 2-impurity configuration in the Sz = 0 (top) and Sz = 1 (bottom) sectors, respectively, with an excitation energy ∆E = 0.238J. e Special 2-impurity configurations obtained with iPEPS which lead to additional excitation levels below H’C1 - at an onset field H’C0, as observed in the x = 0.05 sample
