Zero-modes in the random hopping model
无序系统与神经网络
2009-11-07 v1 介观与纳米尺度物理
摘要
If the number of lattice sites is odd, a quantum particle hopping on a bipartite lattice with random hopping between the two sublattices only is guaranteed to have an eigenstate at zero energy. We show that the localization length of this eigenstate depends strongly on the boundaries of the lattice, and can take values anywhere between the mean free path and infinity. The same dependence on boundary conditions is seen in the conductance of such a lattice if it is connected to electron reservoirs via narrow leads. For any nonzero energy, the dependence on boundary conditions is removed for sufficiently large system sizes.
引用
@article{arxiv.cond-mat/0201580,
title = {Zero-modes in the random hopping model},
author = {P. W. Brouwer and E. Racine and A. Furusaki and Y. Hatsugai and Y. Morita and C. Mudry},
journal= {arXiv preprint arXiv:cond-mat/0201580},
year = {2009}
}
备注
12 pages, 11 figures