Critical Behavior and Magnetic Properties of Manganite-Derived Oxide La 0.67 Sr 0.33 MnO 3 : a Monte Carlo Study L. H. Omari 1,2 & M. Zaim 2 & E. K. Hlil 3 & M. Kerouad 2 & A. Lekdadri 1 & A. Zaim 2 Received: 13 September 2019 /Accepted: 21 September 2019 # Springer Science+Business Media, LLC, part of Springer Nature 2019 Abstract Critical behavior and magnetic properties of La 0.67 Sr 0.33 MnO 3 (symbolized as LS33MO) have been studied by means of Monte Carlo simulation (MCS). By using the heat-bath algorithm and the Ising model up to third nearest neighbor exchange interactions, we have computed the magnetic and magneto-caloric properties. The effects of the temperature (T) and the external magnetic field (h) on the magnetic behavior of LS33MO have been discussed. The results demonstrate that the Curie temperature (T C ) is close to the experimental value. The magnetic entropy shows a maximum value around T C which increases linearly with the rise of the external field h. For h =5T , the maximum entropy (ΔS max m ) is about 3.67 J K -1 kg -1 which is in good agreement with the experimental results. The relative cooling power (RCP) has been estimated and it has been found that it increases with respect to the external field. The predicted critical behavior has been studied by isothermal magnetization of LS33MO nanoparticle compound. The critical exponents (Crt.Exps) are determined by various approaches, such as the modified Arrott plot (AP) and critical isotherm ways. Therefore, the Crt.Exp values obtained by different techniques are β = 0.306, γ = 1.178, and δ = 4.025 respectively. The trustworthiness of the values of the Crt.Exp was approved by the Widom scaling equation and the universal scaling hypothesis. Keywords Monte Carlo simulation (MCS) . Magnetic properties . Critical behavior . LSMO . RCP 1 Introduction In the recent years, a focused interest has been given to various magneto-caloric technological applications [1–3]. The known material for this kind of application is Gd element and its derived compounds that have a good magneto-caloric (MC) effect near the room temperature [4]. Hole-doped manganite oxides are well known as magnetic materials for their attrac- tive physical properties [5]. For example, La 0.67 Sr 0.33 MnO 3 (LS33MO) with perovskite structure is one kind of the hole- doped manganite oxide family and is known to be a promising candidate for MC application, since it exhibits a ferromagnetic–paramagnetic (FM–PM) transition at Curie temperature (T C ) between 340 and 380 K [5, 6] as well as a high value of magnetic moment near room temperature [7, 8]. The MC effect is an intrinsic property of a magnetic material rising due to the combination between the magnetic sublattice and the magnetic field [9]. In this kind of material, the princi- pal causes for a large magnetic entropy variation ΔS m is the wide spontaneous magnetization aside from the severe drop in the magnetization correlated with the FM–PM transition [10]. To better understand the nature of the paramagnetic– ferromagnetic (PM–FM) transition, it is substantial to study in detail the critical exponents (Crt.Exps) corresponding to this transition. The investigation of Crt.Exps in the asymptotic critical region, on either side of the T C of the second-order PM–FM phase transition, is a powerful tool to deeply analyze the mechanisms of the microscopic magnetic interaction re- sponsible for this transition [11, 12]. It is found in manganite oxides, within the double exchange model in the framework of long-range mean-field theory [13], that the critical behav- iors near the Curie temperature are related to the PM–FM transition. However, Pramanik et al. have predicted that the Crt.Exps in manganites are in accord with the short-range exchange interaction model [14]. Controversy remains on * L. H. Omari bophysiq@gmail.com 1 LPMMAT, Faculty of Sciences Ain-Chock, University of Hassan II, Casablanca, Morocco 2 LP2MS, CNRST-URAC: 08, Faculty of Sciences, Moulay Ismail University, Meknes, Morocco 3 Institut Néel & CNRS Université Grenoble Alpes, B.P. 166, 38042 Grenoble Cedex 9, France Journal of Superconductivity and Novel Magnetism https://doi.org/10.1007/s10948-019-05318-y