\[sec1\], \[Au(tmdt)$_2$\] and \[Cu(tmdt)$_2$\] show phase transitions to magnetically ordered states. Here, we study their ground-state ($T$ = 0) magnetic states where the interaction terms in ${\cal H}_{\rm int}$ \[eq. (\[eq:Hint\])\] are treated by MF approximation as $n_{is}^\textrm{o} n_{is'}^\textrm{o'} \rightarrow 
 \langle n_{is}^\textrm{o} \rangle n_{is'}^\textrm{o'} 
 + n_{is}^\textrm{o} \langle n_{is'}^\textrm{o'} \rangle
 - \langle n_{is}^\textrm{o} \rangle \langle n_{is'}^\textrm{o'}\rangle$. Such a MF treatment is suitable in seeking for possible different states, as in our model here with multiple degrees of freedom. In the calculations, we consider a supercell of $2a \times 2b \times 2c$, which includes {M$\sigma$, L (L1 and L2), M$\pi$} $\times$ 8 orbitals \[see Fig. \[fig5\](a)\].

![(Color) Schematic views of (a) unit cell containing four orbitals with the red bar indicating the inter-molecular B bond in Fig. 3, and (b) and (c) representative antiferromagnetic (AF) solutions projected on the $ab$ plane \[see Fig. \[fig3\](c)\]. (b) L-AF: spin moments appear only on L sites \[dimer-AF pattern with spin ordering vector $q_\textrm{mag}[\textrm{L}]=(\pi,0,0)$\] seen for parameters of \[Au(tmdt)$_2$\] [@Ishibashi_2005JPSJ; @Seo_2008JPSJ]. (c) L&M$\sigma$-AF: spins align in staggered AF manner among L and M$\sigma$ sites for \[Cu(tmdt)$_2$\] with common ordering vector $q_\textrm{mag}[\textrm{L}]=q_\textrm{mag}[\textrm{M}\sigma]=(\pi,\pi,0)$. In (d), schematic representations of electron occupancies realized in parameters for \[Au(tmdt)$_2$\] and \[Cu(tmdt)$_2$\] are 