  We have studied the superexchange interaction $J_{ij}$ in doped $2D$
cuprates. The AFM interaction strongly depends on the state of the lattice of a
CuO$_2$ layer surrounded by two LaO rock salt layers. In a static $U$ and $D$
stripe nanostructure, the homogeneous AFM interaction is impossible due to the
$U/D/U...$ periodic stripe sequence and $T_N=0$. In a dynamic stripe
nanostructure, the ideal CuO$_2$ layer with nonlocal effects and the
homogeneous AFM interaction are restored. However the interaction $J_{ij}$
decreases by the exponential factor due to partial dynamic quenching. The
meaning of the transition from the dynamic to the static cases lies into the
spontaneous $\theta$-symmetry breaking with respect to the rotation of all the
tilted CuO$_6$ octahedra by an orientation angle $\delta \theta = n \cdot
\left( {45^\circ } \right)$ (where $n=1\div4$) in the $U$ and $D$ stripe
nanostructure of the CuO$_2$ layer. Moreover, the structural features help to
study various experimental data on the charge inhomogeneity, Fermi level
pinning in the p type cuprates only and a time reversal symmetry breaking from
a unified point of view.
