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Journal of Physics: Conference Series 865, 012015 (2017)

ISSN: 1742-6596

Magnetic order of spin S = 1 antiferromagnetic quantum Heisenberg systems on a Bravais lattice: exact local constraint

Pham Thi Thanh Nga, Phan Thu Trang and Nguyen Toan Thang

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.

DOI: 10.1088/1742-6596/865/1/012015