ELECTRON LOCALIZATION IN A TWO-DIMENSIONAL SYSTEM IN STRONG MAGNETIC-FIELDS .1. CASE OF SHORT-RANGE SCATTERERS
ELECTRON LOCALIZATION IN A TWO-DIMENSIONAL SYSTEM IN STRONG MAGNETIC-FIELDS .1. CASE OF SHORT-RANGE SCATTERERS
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DOI：
10.1143/jpsj.52.1740
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发表时间：
1983-01-01
影响因子：
1.7
通讯作者：
ANDO, T
中科院分区：
文献类型：
--
作者：
ANDO, T
利用计算机模拟研究了强磁场中二维电子系统的局域化问题。假设散射体具有短程δ势，并采用基于无量纲数（L）的定域准则。结果表明，除了在每个朗道能级的中心附近，态是指数局域的。局域波函数的衰减率，即，逆局部化长度在中心处平滑地接近零。这表明，只有刚好在朗道能级中心的态是非定域的，而所有其他态都是指数定域的，尽管在中心附近定域长度非常大。局域化长度极大的能量范围随着朗道能级指数的增大而变宽。
A computer simulation is performed to study localization of a two-dimensional electron system in strong magnetic fields. Scatterers with short-range δ-potentials are assumed, and the localization criterion based on the Thouless numberg(L) is employed. It is shown that states are localized exponentially except in the vicinity of the center of each Landau level. The decay rate of the localized wave function, i.e., the inverse localization length, approaches zero smoothly at the center. This suggests that only the states just at the center of the Landau level are not localized and all the other states are exponentially localized, although the localization length is extremely large near the center. The energy range where the localization length is extremely large becomes wider with the Landau level index.