Correlations and fluctuations of a confined electron gas

Abstract

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.

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

References in corpus (2)

• Orbital Magnetism in the Ballistic Regime: Geometrical Effects
• Universality in quantum parametric correlations

Cited by in corpus (1)

• Thermodynamics of small Fermi systems: quantum statistical fluctuations