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Abstract
We apply the Popov-Fedotov formalism for investigating magnetic properties of the spin S = 1 Heisenberg antiferomagnetic (HAF) on a Bravais lattice. Mapping spin-1 lattice systems on three-component auxiliary fermions with imaginary chemical potential and transforming to a local coordinate system allow us to express a sublattice magnetization, free energy and other thermodynamical quantities in unique forms for different lattice structures in various magnetically ordered phases. We compare them with the results obtained when the local constraint is disregarded. A comparison with the case of S = 1/2 is also discussed.
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Details
1 Thuyloi University, 175 Tay Son, Dong Da, Hanoi, Vietnam
2 Institute of Physics, 10 Dao Tan, Ba Dinh, Hanoi, Vietnam