Figure 5
From: Efficient parameterisation of non-collinear energy landscapes in itinerant magnets
(a) The mean squared differences between \({\mathbf {B}}^{\mathrm {C}}_{i} \cdot {\mathbf {B}}^{\mathrm {C}}_{i}\) as obtained from direct ab initio calculations and \(\mathbf {B'}^{\mathrm {C}}_{i} \cdot \mathbf {B'}^{\mathrm {C}}_{i}\) as obtained from the parameterised models derived from the data-set excluding \({\mathbf {B}}^{\mathrm {C}}_{i}\). The regular Heisenberg model is labeled \(H_{0}\); \(H_{0}\) with bi-quadratic interactions added is labeled \(H_{1}\) and \(H_{1}\) extended by three- and four-spin interactions is labeled \(H_{2}\). (b) The ratio \({\mathbf {B}}^{\mathrm {C}}_{i}/\mathbf {B'}^{\mathrm {C}}_{i}\), where \(\mathbf {B'}^{\mathrm {C}}_{i}\) is obtained from the parameterised models derived from the data-set excluding \({\mathbf {B}}^{\mathrm {C}}_{i}\). The color scheme in (b) is the same as in (a) for the different models.
