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Novel magnetic phases are expected to occur in highly frustrated spinsystems. Here we study the structurally perfect kagom\'e antiferromagnetCdCu$_3$(OH)$_6$(NO$_3$)$_2\cdot$H$_2$O by magnetization, magnetic torque, andheat capacity measurements using single crystals.An antiferromagnetic orderaccompanied by a small spontaneous magnetization that surprisingly is confinedin the kagom\'e plane sets in at $T_\mathrm{N}\approx$4 K, well below thenearest-neighbor exchange interaction $J / k_B$ = 45 K.This suggests that aunique $\bf q = 0$ type 120$^\circ$ spin structure with "negative" (downward)vector chirality, which breaks the underlying threefold rotational symmetry ofthe kagom\'e lattice and thus allows a spin canting within the plane, isexceptionally realized in this compound rather than a common one with"positive" (upward) vector chirality. The origin is discussed in terms of theDzyaloshinskii-Moriya interaction.

Weak ferromagnetic order breaking the threefold rotational symmetry of the underlying kagom\'e lattice in CdCu$_3$(OH)$_6$(NO$_3$)$_2\cdot$H$_2$O