Correlations and fluctuations of a confined electron gas
P. Leboeuf, A. Monastra
Abstract
The grand potential Ω and the response R = - ∂ Ω/∂ x of a phase-coherent confined noninteracting electron gas depend sensitively on chemical potential μ or external parameter x. We compute their autocorrelation as a function of μ, 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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