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arXiv 0804.1037cond-mat.str-el
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单轴应力下矩形晶格中的电子态密度

Density of electron states in a rectangular lattice under uniaxial stress

Ryszard Piasecki

摘要:

本文用第一类完全椭圆积分的初等方法导出了矩形晶格中电子态密度函数的封闭解析表达式。晶格可以看作是在均匀单轴应力(或应变)作用下的变形正方形晶格。与流体静力学的情况相反,单轴压力,比如说沿着y轴,改变y键的长度,而x键保持完整。它还改变了两个y近邻之间的紧束缚转移积分γ_2,而x-nn相互作用的γ_1不变。由于应力引起的对称性降低,这个简单的模型可以得到一个洞察到它的状态密度依赖于晶格变形或转移积分各向异性的去耦。

英文摘要:

The closed analytical expression for the electron density of states function in a rectangular lattice is derived in an elementary way in terms of complete elliptic integrals of the first kind. The lattice can be treated as a deformed square lattice under uniform uniaxial stress (or strain). In contrast to hydrostatic case the uniaxial pressure, say along axis y, modifies a length of the y-bonds while the x-bonds remain intact. It also alters the corresponding tight-binding transfer integral gamma_2 between two y-nearest-neighbours leaving unchanged the gamma_1 for x-nn interactions. Due to stress-induced lowering symmetry of this simple model one can get an insight into the decoupling of its density of states on dependence of the lattice deformation or transfer integrals anisotropy.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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