English

The Mott criterion: So simple and yet so complex

Strongly Correlated Electrons 2014-11-25 v2

Abstract

September 30, 2015 marks the 110th anniversary of the birth of the famous English physicist N. F. Mott. This article is dedicated to his memory. Here we consider the problem of metal-insulator transition. It is shown that the Mott criterion aB(nc)1/30.25a_{B}(n_{c})^{1/3} \approx 0.25 is applicable not only to heavily doped semiconductors, but also to many other materials and systems, including strongly correlated transition-metal and rare-earth-metal compounds, such as vanadium oxides. A special emphasis is placed to the 'paramagnetic metal - antiferromagnetic insulator' transition in V2O3V_{2}O_{3} doped with chromium. In Supplement we also briefly consider the history and state of the art of the Mott transition problem.

Keywords

Cite

@article{arxiv.1411.4372,
  title  = {The Mott criterion: So simple and yet so complex},
  author = {Alexander Pergament and Genrikh Stefanovich and Nadezhda Markova},
  journal= {arXiv preprint arXiv:1411.4372},
  year   = {2014}
}

Comments

15 pages, 3 figures updated abstract

R2 v1 2026-06-22T07:00:57.430Z