Electron-Electron Interaction in Disordered Mesoscopic Systems: Weak Localization and Mesoscopic Fluctuations of Polarizability and Capacitance

TL;DR

This paper investigates how electron-electron interactions affect the weak localization and mesoscopic fluctuations of polarizability and capacitance in small disordered systems, revealing ensemble-dependent effects and significant fluctuation magnitudes.

Contribution

It provides a systematic analysis of the weak localization correction and mesoscopic fluctuations in 2D and 3D disordered samples, highlighting ensemble differences and fluctuation magnitudes.

Findings

Grand canonical ensemble predicts positive magnetopolarizability.

Canonical ensemble shows reversed sign of magnetopolarizability.

Mesoscopic fluctuations exceed weak localization correction in magnitude.

Abstract

The weak localization correction and the mesoscopic fluctuations of the polarizability and the capacitance of a small disordered sample are studied systematically in 2D and 3D geometries. While the grand canonical ensemble calculation gives the positive magnetopolarizability, in the canonical ensemble (appropriate for isolated samples) the sign of the effect is reversed. The magnitude of mesoscopic fluctuations for a single sample exceeds considerably the value of the weak localization correction.