Experiment, mean field theory and Monte Carlo simulations of the magnetocaloric effect in La0.67Ba0.22Sr0.11MnO3 compound

doi:10.1016/j.ssc.2017.10.003

Solid State Communications

Volume 268, December 2017, Pages 64-69

https://doi.org/10.1016/j.ssc.2017.10.003 Get rights and content

Highlights

•
Magnetocaloric effect and magnetic properties of the La_0.67Ba_0.22Sr_0.11MnO₃ are investigated.
•
Temperature dependence of the magnetic entropy change is given.
•
Adiabatic temperature is also obtained.
•
Curie temperature of La_0.67Ba_0.22Sr_0.11MnO₃ is deduced.
•
Field dependence of relative cooling power of La_0.67Ba_0.22Sr_0.11MnO₃ is obtained.
•
Results of experiment, Hamad theory and Monte Carlo simulation are comparable.

Abstract

Magnetic properties and magnetocaloric effect (MCE) of the La_0.67Ba_0.22Sr_0.11MnO₃ compound are studied by means experiment, mean field theory and Monte Carlo simulations (MCSs). The temperature dependence of the magnetic entropy change and of the adiabatic temperature is also obtained. We have used the experiment results, mean field theory and MCSs. The Curie temperature of La_0.67Ba_0.22Sr_0.11MnO₃ compound has been deduced. The field dependence of relative cooling power (RCP) of La_0.67Ba_0.22Sr_0.11MnO₃ compound has been given.

Introduction

Perovskite-type manganites with the general formula LaAMn_1−xT_xO₃ (A: divalent alkali element such as Ba, Sr, Ca etc, and T=Fe, Co, Ti, etc,) have many important effects for example magnetocaloric effect (MCE), colossal magnetoresistance (CMR) effect, charge ordering, orbital ordering, isotope effect, etc, have been observed by introduction of the rare earth or alkaline earth ions in to the A-sites, these behaviors of original probably occurs in the systems due to the mixed-valence state of Mn³⁺/Mn⁴⁺. Which explains, a large number of study have been devoted to the substitution of Mn-site by other elements preferably 3d-ferromagnetic transition metals [1], [2], [3].

The magnetocaloric effect in NdMnO₃ perovskite is investigated using the Monte Carlo simulations [4] and Mn₂NiAl is studied by ab initio calculations and Monte Carlo simulations [5]. The magnetic entropy change (ΔS_M) and the critical exponents in the double perovskite manganite Y₂NiMnO₆ with a ferromagnetic to paramagnetic transition T_C = 85 K have been investigated by experiment measurement [6]. The measurements of the heat exchanged along the hysteresis loop and the return branches of barium ferrite of composition BaFe₁₂O₁₉ have been discussed by Ref. [7]. Nevertheless, the MCE in these simple is defined by the isothermal magnetic entropy change (∆S_M) or the adiabatic temperature change (∆T_ad) that is a function of magnetic field and temperature. There are three principal methods to assess MCE. The first one direct measurements of adiabatic temperature change (∆T_ad) is carried out by exposing a thermally insulated material to the magnetic field. The second one based on Maxwell equations, it is possible to calculate the ∆S_M starting from magnetization measurements. Finally heat capacity measurements respectively in the following two cases: magnetic fields zero and non-zero magnetic fields, both are used to calculate ∆S_M and ∆T_ad thanks to determining the context of the total entropy. In an experimental study [8], [9], the ferroelectric properties of Bi_3.25La_0.75Ti₃O₁₂ thin films have studied.

In this paper, we investigate based on the mean field theory and from a classical measurement of the variation of the magnetization as a function of temperature M(T), it is possible to estimate if our new compounds exhibits significant magnetocaloric properties or not. To compare our results with the other results, we have used the Monte Carlo simulation to study the magnetic entropy change and the adiabatic temperature of La_0.67Ba_0.22Sr_0.11MnO₃ compound. The Curie temperatures of this compound have been obtained. The relative power cooling of La_0.67Ba_0.22Sr_0.11MnO₃ compound has been also found [10], [11].

Section snippets

Experiment technical

The perovskite manganites La_0.67Ba_0.22Sr_0.11MnO₃ were prepared by sol-gel method. Stoichiometric ratio of La₂O₃, MnO₂, BaO and SrO (99.9% purity) were initially dissolved excellently in nitric acid (HNO₃) and distilled water to obtain a homogeneous mixture. The solution was then heated between 80 and 90 °C on a hotplate under constant stirring to eliminate the excess nitric and to obtain a homogeneous solution. Then, ethylene glycol (CH₂OH)₂ and citric acid C₆H₈O₇ were added under thermal

Mean field theory

A rapid and simple procedure for the determination of the MEC especially in magnetic materials like our sample, both experimental and theoretical approaches was used. According to the phenomenological model (Mean field theory) [13], the variation of magnetization with temperature and Curie temperature T_C is presented by: $M (T) = \frac{M_{i} - M_{f}}{2} \tanh (A (T_{c} - T)) + B T + C$

M_i/M_f is an initial/final value of magnetization at ferromagnetic–paramagnetic transition as shown in Fig. 1;

The parameters A, B and C are given by: ${$

Monte Carlo simulations

The standard sampling MC simulation has been applied to simulate the Hamiltonian given by Eq. (11) for La_0.67Ba_0.22Sr_0.11MnO₃. The MCs update was performed by choosing random spins and then flipped from current state S_i to opposite state -S_i with Boltzmann based probability. This can be done using the Metropolis algorithm (MA) [21] i.e. P_metro = exp(-ΔE/k_BT), where ΔE is the energy difference between the before and the after flip and β = 1/(k_BT) where T denotes the absolute temperature and k_B

Results and discussion

The temperature dependence of the magnetization M(T) in the range of 5–400 K and in an applied magnetic field (0.1 $\leq μ_{0} \leq$ T) for the La_0.67Ba_0.22Sr_0.11MnO₃ showed that the sample exhibit a paramagnetic to ferromagnetic (PM-FM) transition with decreasing temperature (Fig. 2a).

Fig. 2b shows the dashed curves represent the experimental data from Ref. [11]. While the solid lines show, modeled data using model parameters given in Table 1. It is remarkable a good agreement was found between the

Conclusions

The MCE and magnetic properties of La_0.67Ba_0.22Sr_0.11MnO₃ compound has been investigated by experiment, mean field theory and Monte Carlo simulations. The magnetic entropy change and the adiabatic temperature change show a huge jump at the ferromagnetic transition, which is usually observed when the transition is second-order type. The Curie temperatures are obtained by experiment measurement and by two methods. The obtained values are comparable between experiment results and calculations.

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CommunicationExperiment, mean field theory and Monte Carlo simulations of the magnetocaloric effect in La0.67Ba0.22Sr0.11MnO3 compound

Highlights

Abstract

Introduction

Section snippets

Experiment technical

Mean field theory

Monte Carlo simulations

Results and discussion

Conclusions

Solid State Commun.

J. Magn. Magn. Mater.

J. Magn. Magn. Mater.

J. Magn. Magn. Mater.

J. Magn. Magn. Mater.

Nucl. Instrum. Methods Phys. Res. Section B

Solid State Sci.

J. Alloy. Compd.

J. Alloy. Compd.

J. Alloy. Compd.

Int. J. Refrig.

Double exchange alone does not explain the resistivity of La1-xSrxMnO3

Phys. Rev. Lett.

Room temperature magnetic entropy change in La0.7Sr0.3Mn1-xMxO3 (M=Al, Ti)

Phys. Status Solidi B

Cryst. Res. Technol.

Critical behavior in Fe-doped manganites La0.67Ba0.22Sr0.11Mn1-xFexO3 (0 ≤ x ≤ 0.2)

J. Mater. Sci.

A profile refinement method for nuclear and magnetic structures

J. Appl. Crystallogr.

Communication
Experiment, mean field theory and Monte Carlo simulations of the magnetocaloric effect in La_0.67Ba_0.22Sr_0.11MnO₃ compound

Double exchange alone does not explain the resistivity of La_1-xSr_xMnO₃

Room temperature magnetic entropy change in La_0.7Sr_0.3Mn_1-xM_xO₃ (M=Al, Ti)

Critical behavior in Fe-doped manganites La_0.67Ba_0.22Sr_0.11Mn_1-xFe_xO₃ (0 ≤ x ≤ 0.2)