Figure 1

(Color online) (a) Crystal structure and proper screw-type spin structure of ${\text{Ba}}_2{\text{Mg}}_2{\text{Fe}}_{12}{\text{O}}_{22}$. ${\mu }_{\text{L}}$ and ${\mu }_{\text{S}}$ denote the effective magnetic moments of blocks L and S, respectively. (b) $\left(10L\right)$ scan profiles in various magnetic fields at 10 K. Intensity is plotted on a logarithmic scale. A magnetic field was applied after the ZFC process. [(c) and (d)] Magnetization $\left(M\right)$ and electric polarization as a function of magnetic field at 10 K. Dark (blue online) closed squares and line indicate the initial magnetization process. (e) Dependence of neutron-diffraction intensity for $\left(10-4\right)$ on the magnetic field at 10 K. Solid line indicates the square of the $M$ in the corresponding processes. Dark (blue online) closed squarers and broken line indicate the initial magnetization process.Reuse & Permissions

Figure 2

(Color online) Temperature dependence of magnetization in various magnetic fields at 10 K. Measurements were performed as the temperature increased in a magnetic field after ZFC. Symbols denote magnetic transition temperatures. Inset: $\left(10L\right)$ scan profiles for $H=0$ at 60 and 10K.Reuse & Permissions

Figure 3

(Color online) $\left(10L\right)$ scan profiles at various temperatures in a magnetic field of (a) 0.05 and (b) 0.20 T. Intensity is plotted on a logarithmic scale. In (a), data for both FC and ZFC is shown for 10 K.Reuse & Permissions

Figure 4

(Color online) Magnetic phase diagram of ${\text{Ba}}_2{\text{Mg}}_2{\text{Fe}}_{12}{\text{O}}_{22}$. Symbols denote transition temperatures obtained from magnetization anomalies, where their shapes correspond to those shown in Fig. 2. IC denotes an incommensurate magnetic phase. Within the IC phase, diagonally and horizontally hatched regions indicate regions of the hysteresis with sixfold and twofold (I) phases, respectively.Reuse & Permissions