Mesoscopic Systems With Fixed Number of Electrons

Details Mesoscopic Systems With Fixed Number of Electrons Mesoscopic Systems With Fixed Number of Electrons

1995-02-21

arxiv.org/abs/cond-mat/9502079v1

Physics

Condensed Matter

34 pages, revtex, 1 (postscript) figure

Scientific paper

10.1002/andp.19955070506

In this paper, we study the physics of mesoscopic systems with noninteracting, but fixed number of electrons. From a technical point of view, this means a discussion of the differences between the canonical and the grand canonical ensemble (fixed versus fluctuating number of particles). Such a discussion is not trivial since the grand canonical ensemble is the most convenient basis for the statistics of identical particles and one has to spend labour in order to retrieve the canonical ensemble. Specifically, we are considering ensembles of mesoscopic systems with disorder, either by atomic defects or by fluctuations in their geometric definitions and we discuss various forms of disorder averages.

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