Core–shell structured triangular Ising nanowire on the Bethe lattice

•Triangular Ising nanowire is simulated on the Bethe lattice.•Nanoparticles with one spin-1/2 at the core and three at corners of a triangle is taken.•The core–shell structured Ising nanowire is considered.•Calculations are carried out in terms of exact recursion relations.•The magnetizations and phase diagrams of the model are obtained and discussed.

In this work, triangular type Ising nanowire is simulated on the Bethe lattice by using the core–shell structure consisting of Ising spins. A plaquette of spins, one at the center and the other three on the surface, present a nanoparticle which is then combined with other plaquettes, each with two nearest-neighbors. Then, they are allowed to interact via bilinear exchange interactions either ferromagnetically or antiferromagnetically. The thermal variations of magnetizations are studied to obtain the phase diagrams of the model. Because of the frustration of the system at low temperatures, only the second-order phase transition lines are presented. The magnetizations of the center and the surface spins compensate each other, i.e. the total magnetization goes to zero, for some values of the given system parameters.