Ab Initio Calculation of the Interaction of an Edge Dislocation with Transition Metal Impurity Atoms in Silicon

T. Gorkavenko, V. Ukraine, I. Plyushchay, O. I. Plyushchay
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Abstract

The first-principle calculation of the interaction of an edge dislocation with transition metal impurities Cr, Mn, Fe, Co, Ni and Cu in a supercell composed of 180 Si atoms is presented. The density functional theory in the general gradient approximation using the ABINIT software package has been used for numerical calculation. The interaction curves of edge dislocations with impurity atoms in silicon are obtained. The shape of the interaction curves corresponds to the Lennard-Jones potential. The equilibrium positions of impurity atoms in the vicinity of the edge dislocation cores are obtained. The binding energy of Cr, Mn, Fe, Co, Ni, Cu impurity atoms with an edge dislocation in silicon is calculated and analyzed. The electronic structure of the supercell with a dipole of two edge dislocations with Cr, Mn, Fe, Co, Ni and Cu impurities is presented. The general features of the electronic spectra for all impurity atoms are discussed. Due to the existing defective structure of the supercell, additional states appear in the band gap for all impurities, in particular, for Ni and Cu impurities, a sharp half-filled impurity peak is observed in the band gap. The intensity and fine structure of impurity peaks vary depending on the type of impurity and its position. The possibility of magnetic ordering on the dislocation core dangling bonds and Ni, Cu impurity atoms in the vicinity of the edge dislocation core has been discussed.
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硅中过渡金属杂质原子与边缘位错相互作用的从头计算
本文给出了由180个Si原子组成的超级单体中边缘位错与过渡金属杂质Cr、Mn、Fe、Co、Ni和Cu相互作用的第一性原理计算。利用ABINIT软件包对一般梯度近似中的密度泛函理论进行了数值计算。得到了硅中杂质原子与边缘位错的相互作用曲线。相互作用曲线的形状符合伦纳德-琼斯势。得到了杂质原子在边缘位错核附近的平衡位置。计算并分析了硅中具有边位错的Cr、Mn、Fe、Co、Ni、Cu杂质原子的结合能。给出了含Cr、Mn、Fe、Co、Ni和Cu杂质的双棱位错偶极子超级单体的电子结构。讨论了所有杂质原子的电子谱的一般特征。由于超级单体结构存在缺陷,所有杂质的带隙中都出现了附加态,特别是Ni和Cu杂质,在带隙中观察到一个尖锐的半填充杂质峰。杂质峰的强度和精细结构取决于杂质的类型和位置。讨论了位错核悬空键和位错核边缘附近Ni、Cu杂质原子磁有序的可能性。
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