电子波在具有单原子台阶的正方形和三角形晶格半平面中的散射
Scattering of electronic waves in square and triangular lattice half-planes with monoatomic step
摘要：
本文用最近邻紧束缚近似方法分析了电子波在正方形和三角形晶格半平面中被表面台阶散射的问题。忽略晶格间距的变化和表面附近最近邻点之间的传递积分。一个标准的应用程序的离散维纳-霍普夫方法导致一个精确的解决方案的散射问题与发病率从“散装”。电子波函数的远场近似，以及其图形与数值解的比较，也提供。自然的应用和可能的扩展是基于二维晶格平面的体布里渊区以及面心立方晶体的表面能带。
英文摘要：
Scattering of electronic waves in square and triangular lattice half-planes by a step on the surface is analyzed using the nearest-neighbour tight binding approximation. The changes in lattice spacing and the transfer integral between nearest-neighbor sites near the surface are ignored. A standard application of the discrete Wiener-Hopf method leads to an exact solution of the scattering problem associated with incidence from the `bulk'. A far-field approximation of electronic wavefunction, as well as its graphical comparison with a numerical solution, are also provided. Natural applications and possible extensions are based on the bulk Brillouin zone for two dimensional lattice planes as well as surface energy bands for fcc crystals.
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