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Group-theory approach within the framework of the tight-binding model

机译:紧密绑定模型框架内的分组理论方法

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Abstract: A new approach to the constructing of the modelHamiltonian within the framework of the generaltight-binding formalism is proposed. Considerablesimplification of the conventional procedure of matrixelement determination is achieved taking advantages ofthe group theory. It is shown, that the overlapping ofwave functions centered on the neighboring latticesites in arbitrary low-symmetric lattice may be countedup through the coupling integrals between atom-likestates, as though these atoms should be placed at thesame distance along the z-axis. It is pointed out, thatthe self- consistent ab-initio calculation scheme basedon the general assumptions of the tight-binding modelappears to be possible. !7
机译:摘要:提出了一种在一般约束形式主义框架内构造哈密顿模型的新方法。利用群论的优势,对传统的矩阵元素测定方法进行了相当大的简化。结果表明,可以通过原子状态之间的耦合积分来计算任意低对称晶格中以相邻晶格为中心的波函数的重叠量,就好像这些原子应沿z轴放置相同的距离一样。指出,基于紧密绑定模型的一般假设的自洽从头计算方案看来是可能的。 !7

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