Abstract
The symmetry operator Q = Y 2 is introduced to re-describe the Heisenberg spin triangles in the {V6} molecule, where Y stands for the Yangian operator which can be viewed as special form of Dzyaloshinsky–Moriya (DM) interaction for spin 1/2 systems. Suppose a parallelogram Heisenberg model that is comprised of four 1 2 -spins commutes with Q, which mean that it possesses Yangian symmetry, we show that the ground state of the Hamiltonian H 4 for the model allows to take the total spin S = 1 by choosing some suitable exchange constants in H 4. In analogy to the molecule {V6} where the two triangles interact through Yangian operator we then give the magnetization for the theoretical molecule “{V8}” model which is comprised of two parallelograms. Following the example of molecule {V15}, we give another theoretical molecule model regarding the four 1 2 -spins system with total spin S = 1 and predict the local moments to be 9 10 μ B , 1 10 μ B , 1 10 μ B , 9 10 μ B , respectively.
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