Figure 2:
Spin-Spiral State: (or spin-density wave)
Shown are several spin-spiral states  as function of the wave-vector  pointing from left to right. The upper two spin-configurations show transversal spin-spiral states (the spin-rotation axis  is normal to wave vector , and the lower two spin-configurations show a longitudinal spin-spiral state (the spin-rotation axis  is parallel to the wave vector . defines the tild-angle  of  with respect to the rotation axis . The second spin-configurations of the transversal and longitudinal spin-spiral state show the special case of .