# Correlations and fluctuations of a confined electron gas

### P. Leboeuf 1, A. Monastra 1

#### Physical Review B 62 (2000) 12617-12620

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.

• 1. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
CNRS : UMR8626 – Université Paris XI - Paris Sud