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We derive the exact ground states for a one dimensional family of $S=1/2$ XXZHamiltonians on the zigzag ladder. These states exhibit true long range spiralorder that spontaneously breaks the U(1) invariance of the Hamiltonian. Besidesbreaking a continuous symmetry in $d=1$, this spiral ordering has aferromagnetic component along the symmetry axis that can take any value betweenzero and full saturation. In this sense, our canted spiral solutions are ageneralization of the SU(2) Heisenberg ferromagnet to non-zero orderingwave-vectors of the transverse spin components. We extend this result to the$d=2$ anisotropic triangular lattice.

The Canted Spiral: An Exact Ground State of XXZ Zigzag Ladders