A new approach to the quantized electrical conductance
Mesoscale and Nanoscale Physics
2009-11-13 v2
Abstract
The quanta of electrical conductance is derived for a one-dimensional electron gas both by making use of the quasi-classical motion of a quantum fluid and by using arguments related to the uncertainty principle. The result is extended to a nanowire of finite cross-section area and to electrons in magnetic field, and the quantization of the electrical conductance is shown. An additional application is made to the two-dimensional electron gas.
Cite
@article{arxiv.0804.3689,
title = {A new approach to the quantized electrical conductance},
author = {M. Apostol},
journal= {arXiv preprint arXiv:0804.3689},
year = {2009}
}
Comments
6 pages, no figure; few last pages cut, inadvertently pasted in the former version