Correlations and fluctuations of a confined electron gas

Details Correlations and fluctuations of a confined electron gas Correlations and fluctuations of a confined electron gas

2000-09-07

arxiv.org/abs/cond-mat/0009104v1

Phys. Rev. B 62 (2000) 12617-12620

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

12 pages, 1 figure, to appear in Phys. Rev. B

Scientific paper

10.1103/PhysRevB.62.12617

The grand potential $\Omega$ and the response $R = - \partial \Omega /\partial x$ of a phase-coherent confined noninteracting electron gas depend sensitively on chemical potential $\mu$ or external parameter $x$. We compute their autocorrelation as a function of $\mu$, $x$ and temperature. The result is related to the short-time dynamics of the corresponding classical system, implying in general the absence of a universal regime. Chaotic, diffusive and integrable motions are investigated, and illustrated numerically. The autocorrelation of the persistent current of a disordered mesoscopic ring is also computed.

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