Critical behaviors of ferromagnetic-paraferromagnetic transition in La0.5Sr0.5MnO3 nanowires bundles under low applied field

The critical behaviors of the perovskite La0.5Sr0.5MnO3 nanowires bundles around the ferromagnetic-paraferromagnetic (FM-PM) transition through modified Arrott plot and critical isothermal analysis is investigated. The obtained critical exponents are determined by modified Arrott Noakes equation (H/M)1/γ=(T−Tc)/Tc+(M/M1)1/β under a low external magnetic field of 0–0.8T, where β = 0.93 and γ = 2.25 were obtained at Tc ≈ 328 k. The availability of the parameters is proved by fulfilling the Widom scaling relation δ=1+γ/β which obeys the single scaling equation of M(H,|ε|)=εβf±(H/|ε|β+γ). The critical exponents determined in this system is unique and not following theories in any published literature. It may be attributed to the nano-size effect and surface magnetism of this system. •La0.5Sr0.5MnO3 nanowires were synthesized by hard template SBA-15.•The antiferromagnetic was weak in this nanomaterial La0.5Sr0.5MnO3.•The FM-PM transition theories were not suitable in this nano-system.•The critical exponents were calculated to be around β = 0.93, γ = 2.25.