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A computer-aided approach to teaching band structure formation

机译:一种计算机辅助的乐队结构形成教学方法

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摘要

A computer-aided method for teaching energy band formation in a superlattice which enables direct comparison to energy band formation in crystals through the tight-binding method is presented. The time-independent Schroedinger equation for a heterostructure stack is solved by the transfer matrix method along with the effective mass approximation using a standard Fortran 77 computer code. The code is suitable for use on a personal computer which provides a ready laboratory in which the student can examine the effect of varying the electron wavefunction overlap between adjacent sites. In this way, the student can perform a series of computer experiments which vividly illustrate energy miniband formation in superlattices and by direct analogy energy band formation in crystals.
机译:提出了一种计算机辅助方法,用于教授超晶格中的能带形成,该方法可以通过紧密结合方法直接与晶体中的能带形成进行比较。使用标准的Fortran 77计算机代码,通过转移矩阵方法以及有效的质量近似值,解决了异质结构堆栈的时间无关的Schroedinger方程。该代码适用于提供现成实验室的个人计算机,在该实验室中,学生可以检查改变相邻位置之间电子波函数重叠的影响。通过这种方式,学生可以进行一系列计算机实验,生动地说明超晶格中能量微带的形成以及晶体中直接能带的形成。

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