Sparse random matrix configurations for two or three interacting electrons in a random potential
无序系统与神经网络
2009-10-30 v1
摘要
We investigate the random matrix configurations for two or three interacting electrons in one-dimensional disordered systems. In a suitable non-interacting localized electron basis we obtain a sparse random matrix with very long tails which is different from a superimposed random band matrix usually thought to be valid. The number of non-zero off-diagonal matrix elements is shown to decay very weakly from the matrix diagonal and the non-zero matrix elements are distributed according to a Lorentzian around zero with also very weakly decaying parameters. The corresponding random matrix for three interacting electrons is similar but even more sparse.
引用
@article{arxiv.cond-mat/9703188,
title = {Sparse random matrix configurations for two or three interacting electrons in a random potential},
author = {Shi-Jie Xiong and S. N. Evangelou},
journal= {arXiv preprint arXiv:cond-mat/9703188},
year = {2009}
}
备注
10 pages, Latex file, 5 postscript files