English

Interactions and Disorder in Quantum Dots: Instabilities and Phase Transitions

Mesoscale and Nanoscale Physics 2009-11-07 v3 Disordered Systems and Neural Networks

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.

Keywords

Cite

@article{arxiv.cond-mat/0203238,
  title  = {Interactions and Disorder in Quantum Dots: Instabilities and Phase Transitions},
  author = {Ganpathy Murthy and Harsh Mathur},
  journal= {arXiv preprint arXiv:cond-mat/0203238},
  year   = {2009}
}

Comments

4 pages, 1 figure; version to appear in Phys Rev Letters

R2 v1 2026-07-22T10:35:00.224Z