含有长程拓扑性无序螺位错晶格中因势场引起的散射态和束缚态

SCATTERING AND BOUND STATES DUE TO THE POTENTIAL FIELD IN A LATTICE WITH THE LONG-RANGE TOPOLOGICAL DISORDER OF A SCREW DISLOCASION.

螺位错的长程拓扑性无序对固体中所传播的波提供特殊的介体。用这种介体研究电势对电子态的影响。作为简单的例子要使用方势阱模型。在这种介体中用相移分析法能成功地得到散射解。未微扰的波函数不是平面波而是Aharouov-Bohm方程的严格解。束缚态能级的数目和位置依赖于电子的耦合和拓扑性无序。

The long-range topological disorder of a screw dislocation provides a peculiar medium for waves in solids. Influences of potential in this medium to electronic states are investigated. A square well potential is employed as a simple example. The potential scattering solution in this medium is successfully obtained in terms of the phase-shift analysis. The unperturbed wave function is not the plane wave but the exact solution of the Aharonov-Bohm equation. The number and position of the bound state levels depend on the coupling of an electron and the topological disorder.