Angular dependence of metamagnetic transitions in ${\mathrm{DyAgSb}}_2$

Measurements of the magnetization of ${\mathrm{DyAgSb}}_2$ reveal a complex system of up to 11 well-defined metamagnetic states for the field applied within the basal plane. Measurements of the magnetization vs the angle the applied field makes with respect to the [110] axis show the ${\mathrm{Dy}}^{3+}$ moments are constrained to lie along one of the four [110] directions within the basal plane. From the angular dependence of the critical fields and plateau magnetizations, the net distribution of the moments may be deduced for each state. Finally, the coupling constants are calculated within the framework of the “four-position clock model.”