Conductance fluctuations at the integer quantum Hall plateau transition
介观与纳米尺度物理
2016-08-31 v2
摘要
We study numerically conductance fluctuations near the integer quantum Hall effect plateau transition. The system is presumed to be in a mesoscopic regime, with phase coherence length comparable to the system size. We focus on a two-terminal conductance G for square samples, considering both periodic and open boundary conditions transverse to the current. At the plateau transition, G is broadly distributed, with a distribution function close to uniform on the interval between zero and one in units of e^2/h. Our results are consistent with a recent experiment by Cobden and Kogan on a mesoscopic quantum Hall effect sample.
引用
@article{arxiv.cond-mat/9609048,
title = {Conductance fluctuations at the integer quantum Hall plateau transition},
author = {Sora Cho and Matthew P. A. Fisher},
journal= {arXiv preprint arXiv:cond-mat/9609048},
year = {2016}
}
备注
minor changes, 5 pages LaTex, 7 postscript figures included using epsf; to be published Phys. Rev. B 55 (1997)