Mesoscopic Transport: The Electron-Gas Sum Rules in a Driven Quantum Point Contact

Details Mesoscopic Transport: The Electron-Gas Sum Rules in a Driven Quantum Point Contact Mesoscopic Transport: The Electron-Gas Sum Rules in a Driven Quantum Point Contact

2004-01-09

arxiv.org/abs/cond-mat/0401134v2

Int. J. Mod. Phys. B 18, 1479 (2004)

Physics

Condensed Matter

Strongly Correlated Electrons

TeX, 11pp, no fig

Scientific paper

10.1142/S0217979204024938

The nature of the electron gas is characterized, above all, by its multi-particle correlations. The conserving sum rules for the electron gas have been thoroughly studied for many years, and their centrality to the physics of metallic conduction is widely understood (at least in the many-body community). We review the role of the conserving sum rules in mesoscopic transport, as normative criteria for assessing the conserving status of mesoscopic models. In themselves, the sum rules are specific enough to rule out any such theory if it fails to respect the conservation laws. Of greater interest is the capacity of the compressibility sum rule, in particular, to reveal unexpected fluctuation effects in nonuniform mesoscopic structures.

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