Transport in nanoscale systems: the microcanonical versus grand-canonical picture

Details Transport in nanoscale systems: the microcanonical versus grand-canonical picture Transport in nanoscale systems: the microcanonical versus grand-canonical picture

2004-07-20

arxiv.org/abs/cond-mat/0407534v1

J. Phys. Cond. Matt. 16, 8025 (2004)

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

6 pages, 1 figure

Scientific paper

10.1088/0953-8984/16/45/024

We analyse a picture of transport in which two large but finite charged electrodes discharge across a nanoscale junction. We identify a functional whose minimisation, within the space of all bound many-body wavefunctions, defines an instantaneous steady state. We also discuss factors that favour the onset of steady-state conduction in such systems, make a connection with the notion of entropy, and suggest a novel source of steady-state noise. Finally, we prove that the true many-body total current in this closed system is given exactly by the one-electron total current, obtained from time-dependent density-functional theory.

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