Transport, Noise, and Conservation in the Electron Gas: How to Build a Credible Mesoscopic Theory
classification
❄️ cond-mat.mes-hall
cond-mat.str-el
keywords
electrontransportapproachboltzmann-landau-silinbuildcompressibilityconservationconserving
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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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