A transfer matrix method for the determination of one-dimensional band structures
A transfer matrix method for the determination of one-dimensional band structures
复制标题
确定一维能带结构的传递矩阵方法
DOI：
10.1088/0305-4470/26/1/018
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发表时间：
1993
期刊：
影响因子：
--
通讯作者：
E. Maciá
中科院分区：
文献类型：
--
作者：
B. Méndez;F. Domínguez‐Adame;E. Maciá
The authors show that the discretized forms of the Schrodinger and the Dirac equations for an arbitrary potential in one dimension are equivalent to the Poincare map of the corresponding wave equation for an array of delta -function potentials. Therefore, the dynamics of particles in general periodic potentials may be studied by means of an equivalent generalized Kronig-Penney model, in which there exist several delta -function potentials in each unit cell. Taking into account the techniques of dynamical systems, the transfer matrix method is then used in a simple form to compute the energy band edges and the dispersion law inside the allowed bands.
