Magnetic properties of double perovskite : Mean field approximation and Monte Carlo simulation

Magnetic properties of double perovskite Sr2RuHoO6: Monte Carlo Simulation

“…The variational principle method based on the Gibbs-Bogoliubov inequality for the free energy per site is the most direct way of deriving the mean-field theory [5,10,13,14]:…”

“…We use this technique to simulate the Hamiltonian described by equation (3) susceptibility are determined by [5,16,18]:…”

“…The double perovskites have the general formula A2BB'O6 [1][2][3], based on the different elements A, B, and B' that can be accommodated in the structure, where the A-cation can be an alkaline metal, an alkaline earth metal, or a lanthanide [4] and B-B' sites are occupied alternately by different cations which are transition metal. Sr2FeMoO6 is the most studied DP compound [5][6][7][8][9]. The discovery of giant magnetoresistance effects in some of these compounds with high transition temperature [10] has enabled to put this family of compounds in the center of interest in spintronic applications [1].…”

“…These transitions are considered to be antiferromagnetic [11,12]. The structure of the DP SRHO is constituted by several elements, their electronic structure are Sr ([Kr] 5s 2 ), Ru ([Kr] 5s 1 4d 7 ), Ho ([Xe] 6s 2 4f 11 ) and O (2s 2 2p 4 ) [5]. Measurements of the magnetic susceptibility shows the appearance of antiferromagnetic order at Neel temperature T N = 10.1K [11].…”

Dependence of magnetization on crystal fields and exchange interactions in magnetite

“…This motivated the study of magnetite by the mean field approximation to elucidate the magnetic behavior of this system. The magnetic properties of lattice systems have been extensively studied using different techniques including the mean field approximation (MFA) based on Bogoliubov inequality for the Gibbs free energy, which has been used for other lattices [9][10][11][12].…”