= Antisymmetric exchange
{title2=$\mathbf D_{ij}\cdot(\mathbf S_i\times\mathbf S_j)$}
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= Dzyaloshinskii-Moriya interaction
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An antisymmetric exchange interaction between <spins>, proportional to $\mathbf D_{ij}\cdot(\mathbf S_i\times\mathbf S_j)$ with a bond-dependent vector $\mathbf D_{ij}$. The overall sign is conventional and must be specified. It favors a handed twist rather than simple parallel or antiparallel alignment. For a uniform chain term $-D(\mathbf S_j\times\mathbf S_{j+1})_z$, common <spin> rotations about $z$ and <time reversal> remain <symmetries>, although reversing the bond orientation changes the sign of $D$.
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