the local magnetization $m$ for sublattices A and B for truncation dimension $D=6$. (b) Components of the staggered magnetizations $M$ for truncation dimension $D=6$. (c) GE per site ${\mathcal E}(\lambda)$ with truncation dimension $D$.[]{data-label="figXYX"}](h0.250a.eps "fig:"){width="0.75\linewidth"} ![(color online) Plots for the spin-$\frac12$ XYX model with fixed magnetic field $h=0.25$ and varying anisotropy parameter $\Delta_y$. (a) Components of the local magnetization $m$ for sublattices A and B for truncation dimension $D=6$. (b) Components of the staggered magnetizations $M$ for truncation dimension $D=6$. (c) GE per site ${\mathcal E}(\lambda)$ with truncation dimension $D$.[]{data-label="figXYX"}](h0.250b.eps "fig:"){width="0.7\linewidth"} ![(color online) Plots for the spin-$\frac12$ XYX model with fixed magnetic field $h=0.25$ and varying anisotropy parameter $\Delta_y$. (a) Components of the local magnetization $m$ for sublattices A and B for truncation dimension $D=6$. (b) Components of the staggered magnetizations $M$ for truncation dimension $D=6$. (c) GE per site ${\mathcal E}(\lambda)$ with truncation dimension $D$.[]{data-label="figXYX"}](h0.250c.eps "fig:"){width="0.7\linewidth"}

Fig. \[figXYX\](a) shows the components of the local magnetization for sublattices A and B defined by $m_{\alpha}^A=\langle S_{\alpha}^A\rangle$ and $m_{\alpha}^B=\langle S_{\alpha}^B\rangle$ for $\alpha=x,y,z$. For $\Delta_y<1$, $m_x^A$ and $m_x^B$ have opposite values, with $m_y^A=m_y^B=0$ and $m_z^A=m_z^B$. This implies that a staggered magnetization $M_x=\langle \frac12 (S_x^A-S_x^B)\rangle$ exists. For $\Delta_y>1$, $m_y^A$ and $m_y^B$ have opposite values, 