Fig. 2: Magnetization curves.

a Magnetization process for the 3 sublattices on the 2D model at two different temperatures, T = 0 and T = 0.5J4 indicated by two different colors (light and dark colors, respectively). The black line shows the total magnetization at T = 0. The star corresponds to the \({{{\rm{KCu}}}}_{7}{{{\rm{TeO}}}}_{4}{({{{\rm{SO}}}}_{4})}_{5}{{\rm{Cl}}}\) data from ref. 32. b Configuration in polar coordinates for h = 0.02 J4 at T = 0 in the 2D model. Each point indicates a spin, and colors denote the site within the unit cell: Cu(1) (pyramid base), Cu(2) (apex), Cu(3) (link). c Magnetization curve from ref. 32 corresponding to T = 0.0118 J4 (T = 2 K). d Spin configuration at T = 0 for the 3D model where the magnetic field is h = 0.001 J4. e Magnetization curve for the 2D and 3D dimensional models at different temperatures, where the gray star corresponds to the h → 0 extrapolation made from higher fields in ref. 32. f Spin configuration at T = 0 for the 3D model for h = 0.1 J4.