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In this study, we carried out an investigation of the EuCoA$_2$As$_2$compound, focusing on its various physical properties. Our analysis covered thestructural, magnetic, electronic, optical, thermodynamic and thermoelectriccharacteristics of this compound. To carry out this study, we used densityfunctional theory (DFT) implemented in the Wien2k software package. Todetermine the exchange-correlation potential, we used the GGA-PBE (Perdew,Burke and Ernzerhof) approach, taking spin-orbit coupling (SOC) into account.Our results indicate that the EuCoA$_2$As$_2$ compound exhibits metallicbehavior. In addition, we have determined that the compound's stable groundstate is the ferromagnetic (FM) phase. We have also calculated the Debyetemperature and the Gr\"uneisen parameter. In addition, we evaluated variousoptical properties, including electron energy loss, absorption coefficient,real and imaginary dielectric tensors, and real and imaginary opticalconductivity. We found that the compound has excellent absorptioncharacteristics in the low and mid ultraviolet (UV) spectra. In addition, weinvestigated the electrical conductivity, Seebeck coefficient, electronicconductivity and thermal conductivity of the lattice. The results revealed thatthe compound exhibits n-type behavior, with negative values for the Seebeckcoefficient. These results are analyzed in detail and provide valuableinformation on the properties of the EuCoA$_2$As$_2$ compound. Additionally,the computed parameters were compared to those found in the literature. A gooddeals have been revealed with the existing results.

Study of the Physical Properties of the EuCoA$_2$As$_2$ Compound: A DFT approach