LETTER TO THE EDITOR: Log - normal distribution of level curvatures in the localized regime: analytical verification
We study numerically and analytically the moments of the dimensionless level curvature for one-dimensional disordered rings of the circumference L pierced by a magnetic flux 0305-4470/30/10/007/img7. The negative moments of the curvature distribution can be evaluated analytically in the extreme localization limit. The ensuing small curvature asymptotics of the corresponding distribution has a `log - normal' behaviour. Numerically studied positive moments show differences from other log - normally distributed quantities.
Journal of Physics A Mathematical General
- Pub Date:
- May 1997
- Condensed Matter - Disordered Systems and Neural Networks;
- Condensed Matter - Mesoscale and Nanoscale Physics
- 4 pages (revtex), 1 figure (ps file)