  A class of general spin 1/2 lattice models on hyper-cubic lattice $Z^d$,
whose Hamiltonians are sums of two functions depending on the Pauli matrices
$S^1$, $S^2$ and $S^3$, respectively, are found, which have Gibbsian eigen
(ground) states and two order parameters for two spin components $x$, $z$
simultaneously for large values of the parameter $\alpha$ playing the role of
the inverse temperature. It is shown that the ferromagnetic order in $x$
direction exists for all dimensions $d\geq 1$ for a wide class of considered
models (a proof is remarkably simple).
