From Weak- to Strong-Coupling Mesoscopic Fermi Liquids

TL;DR

This paper investigates how mesoscopic fluctuations evolve from weak to strong coupling in a Fermi liquid system, revealing partial correlation and universal features using a quantum dot model.

Contribution

It introduces a study of mesoscopic fluctuations across coupling regimes in a Fermi liquid, employing a slave boson mean field approach and random matrix theory.

Findings

Strong correlation between weak and strong coupling regimes, but not complete.

Identification of universal features in mesoscopic fluctuations.

Application of the model to quantum dots.

Abstract

We study mesoscopic fluctuations in a system in which there is a continuous connection between two distinct Fermi liquids, asking whether the mesoscopic variation in the two limits is correlated. The particular system studied is an Anderson impurity coupled to a finite mesoscopic reservoir described by random matrix theory, a structure which can be realized using quantum dots. We use the slave boson mean field approach to connect the levels of the uncoupled system to those of the strong coupling Nozi\`eres Fermi liquid. We find strong but not complete correlation between the mesoscopic properties in the two limits and several universal features.