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arXiv · 0804.3689

A new approach to the quantized electrical conductance

M. Apostol
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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.

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M. Apostol. 2008-04-25. A new approach to the quantized electrical conductance. https://doi.org/10.1016/j.physleta.2008.05.061

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