Anderson localization in a correlated landscape near the band edge

Stefanie Russ The Minerva Centre for Fractals, Mesoscopics, and Neural Networks, and Department of Physics, Bar-Ilan University, 52900, Ramat-Gan, Israel

Shlomo Havlin The Minerva Centre for Fractals, Mesoscopics, and Neural Networks, and Department of Physics, Bar-Ilan University, 52900, Ramat-Gan, Israel

Itzhak Webman The Minerva Centre for Fractals, Mesoscopics, and Neural Networks, and Department of Physics, Bar-Ilan University, 52900, Ramat-Gan, Israel

Abstract

We study the Anderson localization in a potential landscape with long-range power-law correlations in one dimension. We find that, for energies E close to the band edge of the unperturbed energy band, the presence of correlations makes the states more strongly localized, compared with the uncorrelated case, and a novel scaling of the localization length appears.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Anderson localization in a correlated landscape near the band edge

Information for

Open access

Opportunities

Help and information

Anderson localization in a correlated landscape near the band edge

Abstract

Reprints and Corporate Permissions

Academic Permissions

Related research

To cite this article:

Download citation

Information for

Open access

Opportunities

Help and information

Keep up to date

Your download is now in progress and you may close this window

Login or register to access this feature