English

Scaling of level statistics at the metal-insulator transition

Disordered Systems and Neural Networks 2007-05-23 v1 Mesoscale and Nanoscale Physics

Abstract

Using the Anderson model for disordered systems the fluctuations in electron spectra near the metal--insulator transition were numerically calculated for lattices of sizes up to 28 x 28 x 28 sites. The results show a finite--size scaling of both the level spacing distribution and the variance of number of states in a given energy interval, that allows to locate the critical point and to determine the critical exponent of the localization length.

Keywords

Cite

@article{arxiv.cond-mat/0112171,
  title  = {Scaling of level statistics at the metal-insulator transition},
  author = {I. Kh. Zharekeshev and B. Kramer},
  journal= {arXiv preprint arXiv:cond-mat/0112171},
  year   = {2007}
}

Comments

6 pages, PDF, 6 fig, talk at the NATO Advanced Research Workshop on Submicron Quantum Dynamics, Trieste, Italy, June 1994