Quantum Hall Transition in the Classical Limit
介观与纳米尺度物理
2009-10-31 v2 无序系统与神经网络
摘要
We study the quantum Hall transition using the density-density correlation function. We show that in the limit h->0 the electron density moves along the percolating trajectories, undergoing normal diffusion. The localization exponent coincides with its percolation value \nu=4/3. The framework provides a natural way to study the renormalization group flow from percolation to quantum Hall transition. We also confirm numerically that the critical conductivity of a classical limit of quantum Hall transition is \sigma_{xx} = \sqrt{3}/4.
引用
@article{arxiv.cond-mat/0008163,
title = {Quantum Hall Transition in the Classical Limit},
author = {V. Gurarie and A. Zee},
journal= {arXiv preprint arXiv:cond-mat/0008163},
year = {2009}
}
备注
8 pages, 4 figures; substantial changes include the critical conductivity calculation