For a ring of classical spins with one antiferromagnetic bond, the ground state switches from collinear to coplanar at an analytically known critical coupling, and the full phase diagram is classified.
In this section we will investigate these dependencies more system atically and to this end consider not only α0 but also |ατ | as variable and the remaining FM bonds as fixed
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Ground states of classical spin polygons: Rigorous results and examples
For a ring of classical spins with one antiferromagnetic bond, the ground state switches from collinear to coplanar at an analytically known critical coupling, and the full phase diagram is classified.