Transport, Noise, and Conservation in the Electron Gas: How to Build a Credible Mesoscopic Theory

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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19 pp, 5 ps figs. Text & layout revised; refs. added

Scientific paper

The Boltzmann-Landau-Silin and Landauer-Buettiker-Imry theories of electron
transport are shown to be mutually incompatible. The first respects microscopic
gauge invariance, electron-hole symmetry, and the conserving sum rules for the
correlated electron gas. The second approach does not. That is directly evident
in its unphysical compressibility.

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