Interactions and Disorder in Quantum Dots: Instabilities and Phase Transitions

TL;DR

This paper investigates how electron interactions in quantum dots can lead to phase transitions and collective effects, using a fermionic renormalization group approach combined with Random Matrix Theory.

Contribution

It introduces a model analyzing electron interactions in quantum dots that reveals interaction-induced phase transitions and collective phenomena at low energies.

Findings

Interactions induce phase transitions in quantum dots.

Fluctuations and collective effects dominate at low energies.

Implications for experiments and numerical studies are discussed.

Abstract

Using a fermionic renormalization group approach we analyse a model where the electrons diffusing on a quantum dot interact via Fermi-liquid interactions. Describing the single-particle states by Random Matrix Theory, we find that interactions can induce phase transitions (or crossovers for finite systems) to regimes where fluctuations and collective effects dominate at low energies. Implications for experiments and numerical work on quantum dots are discussed.