Quantum Point Contacts and Beyond: New Results on Mesoscopic Conductance and Fluctuations

Physics – Condensed Matter – Mesoscale and Nanoscale Physics

Scientific paper

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TeX, 22 pp, 7 figs. See also Green et al., Phys. Rev. Lett. 92, 156804 (2004)

Scientific paper

We summarize the main results of a microscopically based kinetic theory, applicable to open quantum point contacts (QPCs) driven up to high fields. The governing role of gauge invariance -- and the many-body sum rules for the electron gas -- lead to stringent constraints on both transport and fluctuations. These constraints exert a dominant influence on the observable properties of QPCs and similar open mesoscopic conductors. We illustrate this in the context of certain predictions within purely phenomenological models of mesoscopic transport.

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