Localization-Delocalization Transition in Chains with Correlated Disorder

Details Localization-Delocalization Transition in Chains with Correlated Disorder Localization-Delocalization Transition in Chains with Correlated Disorder

Apr 2007

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007aipc..899..613k&link_type=abstract

SIXTH INTERNATIONAL CONFERENCE OF THE BALKAN PHYSICAL UNION. AIP Conference Proceedings, Volume 899, pp. 613-613 (2007).

Physics

Theories And Models, Localized States, Methods Of Electronic Structure Calculations, Delocalization Processes

Scientific paper

We investigate numerically localization properties of electron eigenstates in a chain with long-range correlated diagonal disorder. A tight binding one-dimensional model with on-site energies exhibiting long-range correlated disorder (LRCD) is considered for a various disorder strength W. LRCD is defined so that it gives a power law spectral density of the form S(k)αk-p, where p determines the roughness of the potential landscape. Numerical results on the localization length ξ of eigenstates shows the existence of the localization-delocalization transition at p=2. It is found that the critical values for disorder strength W and also critical exponent ν for localization length changes with the values of p.

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