Abstract
The ground state phase diagram of spinS=3/2 extended Axial Next Nearest Neighbour Ising (ANNNI) model with higher order spin interaction is obtained exactly by using the Fundamental Spin Arrangement (FAS) method, and compared with those ofS=1/2 and 1 models. The results are also applicable to the Biaxial Next Nearest Neighbour Ising (BNNNI) model where there is competition between interactions within two directions.
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