A new approach to the quantized electrical conductance

Details A new approach to the quantized electrical conductance A new approach to the quantized electrical conductance

2008-04-23

arxiv.org/abs/0804.3689v2

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, no figure; few last pages cut, inadvertently pasted in the former version

Scientific paper

10.1016/j.physleta.2008.05.061

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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