How edge states are destroyed in disordered mesoscopic samples?
Disordered Systems and Neural Networks
2008-07-03 v1
Abstract
We report theoretical investigations on how edge states are destroyed in disordered mesoscopic samples by calculating a "phase diagram" in terms of energy versus disorder strength , and magnetic field versus disorder strength , in the integer quantum Hall regime. It is found that as the disorder strength increases, edge states are destroyed one by one if transmission eigen-channels are used to characterize the edge states. Near the insulating regime, transmission eigen-channels are closed one by one in the same order as edges states are destroyed. To identify those edge states which have survived disorder, we introduce a generalized current density that can be calculated and visualized.
Keywords
Cite
@article{arxiv.0807.0340,
title = {How edge states are destroyed in disordered mesoscopic samples?},
author = {Z. H. Qiao and J. Wang and Q. F. Sun and H. Guo},
journal= {arXiv preprint arXiv:0807.0340},
year = {2008}
}