DIFFUSION OF ELECTRONS IN RANDOM MAGNETIC-FIELDS
DIFFUSION OF ELECTRONS IN RANDOM MAGNETIC-FIELDS
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DOI：
10.1103/physrevb.51.10897
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发表时间：
1995-04-15
影响因子：
3.7
通讯作者：
OHTSUKI, T
中科院分区：
文献类型：
--
作者：
KAWARABAYASHI, T;OHTSUKI, T
通过数值求解随时间变化的Schrödinger方程，研究了二维系统中电子在静态随机磁场中的扩散。研究了该系统中波包二阶矩的渐近性质和时间自相关函数。结果表明，在远离带边缘的区域，波包的二阶矩的增长是扩散性的，而时间自相关函数的幂律衰减指数在能谱和波函数中表现为一种分形结构。目前的结果与远离带边缘区域的状态是临界的解释是一致的。
Diffusion of electrons in a two-dimensional system in static random magnetic fields is studied by solving the time-dependent Schrödinger equation numerically. The asymptotic behaviors of the second moment of the wave packets and the temporal autocorrelation function in such systems are investigated. It is shown that, in the region away from the band edge, the growth of the second moment of the wave packets turns out to be diffusive, whereas the exponents for the power-law decay of the temporal autocorrelation function suggest a kind of fractal structure in the energy spectrum and in the wave functions. The present results are consistent with the interpretation that the states away from the band edge region are critical.