Ground-state phase diagram of A3NNI model with arbitrary spin quantum number

Abstract

The ground state (GS) of the one-dimensional axial third nearest-neighbor Ising model with arbitrary spin quantum number S is studied by the fundamental spin arrangement method. It is shown that by using normalized field h/SJ 1 the GS phase diagrams of A3NNI models are independent of spin quantum number and the spin state of each site is restricted to ± S states in the GS.