English

Disordered Electron Systems

Disordered Systems and Neural Networks 2007-05-23 v2 Mesoscale and Nanoscale Physics

Abstract

These lectures provide an introduction to the theory of disordered interacting electron systems. In particular, we concentrate on those aspects which are fundamental for the problem of the metal-insulator transition due to the interplay of disorder and interaction. After reviewing the problem of disordered non-interacting electrons, we examine the past and recent experimental urgency to take into account interaction effects. We describe, by using the language of standard perturbation theory, how these interactions effects lead to the picture of the renormalized disordered Fermi liquid. This allows us to obtain the renormalization group equations for the disordered interacting electron liquid. The group equations are then discussed by the light of the existing experimental evidence.

Keywords

Cite

@article{arxiv.cond-mat/0402203,
  title  = {Disordered Electron Systems},
  author = {Carlo Di Castro and Roberto Raimondi},
  journal= {arXiv preprint arXiv:cond-mat/0402203},
  year   = {2007}
}

Comments

Proceedings of the International School of Physics "Enrico Fermi"; Varenna, Italy, 7/29-8/8/2003; Latex, 73 pages,25 PostScript figures, macro cimento.cls;several typos corrected