Mesoscopic fluctuations of the local density of states in interacting electron systems

TL;DR

This paper reviews theoretical findings on mesoscopic fluctuations of the local density of states in interacting electron systems, highlighting significant fluctuations near critical points related to Anderson-Mott transition and weak electron-electron attraction.

Contribution

It provides a detailed analysis of mesoscopic fluctuations in electron systems near critical points, emphasizing the role of electron-electron interactions.

Findings

Strong mesoscopic fluctuations of the local density of states are present near critical points.

Fluctuations are analyzed in the context of Anderson-Mott transition and weak electron-electron attraction.

Theoretical results highlight the impact of interactions on local density of states fluctuations.

Abstract

We review our recent theoretical results for mesoscopic fluctuations of the local density of states in the presence of electron-electron interaction. We focus on the two specific cases: (i) a vicinity of interacting critical point corresponding to Anderson-Mott transition, and (ii) a vicinity of non-interacting critical point in the presence of a weak electron-electron attraction. In both cases strong mesoscopic fluctuations of the local density of states exist.