The spatially anisotropic frustrated Heisenberg ferrimagnet on a square lattice

We study the zero temperature properties of the two-dimensional spatially anisotropic ferrimagnet with competing interactions, using the linear spin-wave theory, and consider pairs of mixed-spins in the set (1/2,1,3/2). We find a small region magnetically disordered in the phase diagram for some values of the anisotropy parameter.

► The ferrimagnetic model with anisotropy of second neighbors was studied.
► The phase diagram was studied as a function of parameter of the anisotropy Δ.
► The cases (1,1/2), (1,3/2), (3/2,1/2) and (1,3/2) were studied.
► The magnetically disordered phase was studied as a function of Δ.