Calculation of exchange parameters in double perovskite Sr₂CuOsO₆ using Monte Carlo simulation

The Monte Carlo simulation was used to theoretically investigate the exchange parameters in double perovskite Sr₂CuOsO₆. The correlation between magnetism and internal energy on every site, as proposed by the Ising model, forms the basis of the numerical method used in this study. We have calculated the exchange parameters by taking into account a parameter \(\alpha\) $\alpha$ that we have defined, and using the experimental Transition temperature ( \({T}_{C}^{exp}\) $T_C^{\mathit{exp}}$ ) measured under an external magnetic field \(h\) $h$ of \(1 T\) $1T$ . This investigation also, includes calculations of the internal energy of each magnetic pattern, magnetization on every site, magnetic susceptibility, and specific heat. Lastly, a comparison between the outcomes of our simulation and others has been carried out. The exchange parameters achieved are \({J}_{Cu-Os}=3.062 {\text{meV}}\) $J_{Cu-Os}=3.062\text{meV}$ , \({J}_{Cu-Cu}=-1.531 {\text{meV}}\) $J_{Cu-Cu}=-1.531\text{meV}$ and \({J}_{Os-Os}=0.742 {\text{meV}}\) $J_{Os-Os}=0.742\text{meV}$ .