Universal conductance fluctuations in non-integer dimensions
无序系统与神经网络
2009-11-10 v1
摘要
We propose an Ansatz for Universal conductance fluctuations in continuous dimensions from 0 up to 4. The Ansatz agrees with known formulas for integer dimensions 1, 2 and 3, both for hard wall and periodic boundary conditions. The method is based solely on the knowledge of energy spectrum and standard assumptions. We also study numerically the conductance fluctuations in 4D Anderson model, depending on system size L and disorder W. We find a small plateau with a value diverging logarithmically with increasing L. Universality gets lost just in 4D.
引用
@article{arxiv.cond-mat/0306064,
title = {Universal conductance fluctuations in non-integer dimensions},
author = {Igor Travenec},
journal= {arXiv preprint arXiv:cond-mat/0306064},
year = {2009}
}
备注
4 pages, 4 figures submitted to Phys. Rev.B