Parametric motion of energy levels in quantum disordered systems

I.Kh Zharekeshev and B Kramer

Physica A: Statistical Mechanics and its Applications, 1999, vol. 266, issue 1, 450-455

Abstract: The parametric motion of one-electron energy levels of disordered systems near the Anderson localization transition is studied. We perform numerical calculations of the distributions of the first (level velocity) and the second (level curvature) derivatives with respect to a change of boundary conditions. The statistics of their fluctuations are scale-invariant at the mobility edge and exhibit critical behavior. We show that the distributions of level velocities and level curvatures undergo a crossover between those of the random-matrix theory and the log-normal statistics. The correlation length exponent is extracted from the finite-size scaling of the mean level curvature.

Keywords: Localization; Metal-insulator transition; Level statistics (search for similar items in EconPapers)
Date: 1999
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437198006293
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:266:y:1999:i:1:p:450-455

DOI: 10.1016/S0378-4371(98)00629-3

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().