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In this paper, we have focused on a comparison of the different magneticproperties of the three nano-Heusler Ru$_2$Mn$_X$ (X = Nb, Ta or V) compoundsusing the Blume-Capel Ising model. The Heusler structures are composed bydifferent mixed spins. In fact, the Ru and Mn atoms are modeled by spin-5/2 andspin-1/2, respectively. While, the X atoms ($X$ = Nb, Ta and V) are representedby the spin-7/2, spin-3/2 and spin-5/2, respectively. This study is carried outby using the Monte Carlo simulations under the Metropolis algorithm. Themagnetic behaviors of the three nano-Heusler compounds have been studied anddiscussed. It is found that Ferrimagnetic to superparamagnetic transitions wereobserved corresponding to different blocking temperatures. Besides, the effectof the crystal field, the exchange coupling interactions and the externalmagnetic field have been inspected on the magnetization of each nano-Heuslercompound Ru$_2$Mn$_X$ ($X$ = Nb, Ta or V).

Magnetic Properties of the Heusler Ru$_2$Mn$_X$ ($X$ = Nb, Ta or V) Compounds: Monte Carlo Simulations