Unusual localisation effects in quantum percolation
强关联电子
2007-05-23 v1 无序系统与神经网络
摘要
We present a detailed study of the quantum site percolation problem on simple cubic lattices, thereby focussing on the statistics of the local density of states and the spatial structure of the single particle wavefunctions. Using the Kernel Polynomial Method we refine previous studies of the metal-insulator transition and demonstrate the non-monotonic energy dependence of the quantum percolation threshold. Remarkably, the data indicates a ``fragmentation'' of the spectrum into extended and localised states. In addition, the observation of a chequerboard-like structure of the wavefunctions at the band centre can be interpreted as anomalous localisation.
引用
@article{arxiv.cond-mat/0406750,
title = {Unusual localisation effects in quantum percolation},
author = {Gerald Schubert and Alexander Weisse and Holger Fehske},
journal= {arXiv preprint arXiv:cond-mat/0406750},
year = {2007}
}
备注
5 pages, 7 figures