IDEAS home Printed from
   My bibliography  Save this article

Parametric motion of energy levels in quantum disordered systems


  • Zharekeshev, I.Kh
  • Kramer, B


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.

Suggested Citation

  • Zharekeshev, I.Kh & Kramer, B, 1999. "Parametric motion of energy levels in quantum disordered systems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 266(1), pages 450-455.
  • Handle: RePEc:eee:phsmap:v:266:y:1999:i:1:p:450-455
    DOI: 10.1016/S0378-4371(98)00629-3

    Download full text from publisher

    File URL:
    Download Restriction: 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

    As the access to this document is restricted, you may want to search for a different version of it.


    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:266:y:1999:i:1:p:450-455. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Dana Niculescu). General contact details of provider: .

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.