diff --git a/presentation/mainmatter/jij-prediction.tex b/presentation/mainmatter/jij-prediction.tex index 75063d74e38af2d13d9923d0942a85700fc6cc51..fc8d49784018c3bec6d61957a32e67f7fd36a788 100644 --- a/presentation/mainmatter/jij-prediction.tex +++ b/presentation/mainmatter/jij-prediction.tex @@ -23,12 +23,18 @@ Benchmark study of atomistic ML interatomic potentials trained on the exchange interaction \(J_{ij}\) for spin dynamics, ongoing + \[ + \mathcal{J}_{ij} = -\frac{1}{\pi} \operatorname{Im} + \int_{-\infty}^{E_F} \mathrm{d} E \operatorname{Tr}[\delta t_i G_{ij} + \delta t_j G_{ji}] \longrightarrow + \] + \[ H = -\frac{1}{2}\sum_{i,j}J_{ij} \, \vec{S}_i \cdot \vec{S}_j \longrightarrow J_{ij} = \sum_k \left( J_{ij} \right)_k \] } - \vspace*{0em} + \vspace*{-1em} \begin{columns} \begin{column}{0.55\linewidth}