The Equilateral Triangle Nanowire Consisting Six Spins Per Layer

The atoms of three spin-1/2 are positioned at the vertices of an equilateral triangle, while the remaining three are located at the midpoints, creating an inverted equilateral triangle with half the length of the original sides. Subsequently, they are arranged vertically in a manner that aligns the atoms in identical positions to create the nanowire. The spins at various sites are presumed to engage with five kinds of bilinear interaction parameters either J < 0 or J > 0 corresponding to the antiferromagnetic (AFM) and ferromagnetic (FM) interactions, respectively. The formulation is conducted using the exact recursion relation (ERR) approach. The magnetizations of six spins are computed based on the ERRs, followed by an examination of their thermal behaviors to derive the model’s phase diagrams. The FM phase is found to be intriguingly compressed between the AFM and PM phases at some negative J values which is reminiscent to semiconductor junctions and may have some utility as a magnetic junction in future technological applications.