Send to

Choose Destination
See comment in PubMed Commons below

Correlated random band matrices: localization-delocalization transitions

Author information

Institut fur Theoretische Physik III, Ruhr-Universitat Bochum, 44780 Bochum, Germany.


We study the statistics of eigenvectors in correlated random band matrix models. These models are characterized by two parameters, the bandwidth B(N) of a Hermitian NxN matrix and the correlation parameter C(N) describing correlations of matrix elements along diagonal lines. The correlated band matrices show a much richer phenomenology than models without correlation as soon as the correlation parameter scales sufficiently fast with matrix size. In particular, for B(N) approximately sqrt[N] and C(N) approximately sqrt[N], the model shows a localization-delocalization transition of the quantum Hall type.

PubMed Commons home

PubMed Commons

How to join PubMed Commons

    Supplemental Content

    Full text links

    Icon for American Physical Society
    Loading ...
    Support Center