某些随机晶格中扩散的不存在:数值证据
Absence of diffusion in certain random lattices: Numerical evidence
摘要:
通过数值求解含时薛定谔方程,我们证明了无序二维晶格中电子局域化的物理特征。结果表明,与P. W.安德森,无序阻止电子扩散。电子在空间上局限于系统的特定区域。我们的数值分析证实了电子局域化是由电子传播的波动性引起的量子效应,与经典力学中的局域化是不相似的。
英文摘要:
We demonstrate, by solving numerically the time-dependent Schroedinger equation, the physical character of electron localization in a disordered two-dimensional lattice. We show, in agreement with the prediction of P. W. Anderson, that the disorder prevents electron diffusion. The electron becomes spatially localized in a specific area of the system. Our numerical analysis confirms that the electron localization is a quantum effect caused by the wave character of electron propagation and has no analogy in classical mechanics.
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