The spin-3/2 Blume-Capel model with competing short- and long-range interactions

The phase diagrams of the spin-3/2 Blume-Capel model with competing short and long-range interactions were studied through the free energy density obtained by analytical methods. The competition emerges when positive short-range interactions of strength K arranged in a linear chain tend to establish an anti-parallel spin order, whereas negative long-range interactions −J tend to align them in parallel. Thus, no ferromagnetic order exists for K/J>0.25. So, the phase-diagrams were scanned by varying the values of K, for 0