Leading off-diagonal correction to the form factor of large graphs

G. Berkolaiko, H. Shanz, R.S. Whitney

    Research output: Contribution to journalArticlepeer-review

    39 Citations (Scopus)


    Using periodic-orbit theory beyond the diagonal approximation we investigate the form factor, K(τ), of a generic quantum graph with mixing classical dynamics and time-reversal symmetry. We calculate the contribution from pairs of self-intersecting orbits that differ from each other only in the orientation of a single loop. In the limit of large graphs, these pairs produce a contribution -2τ2 to the form factor which agrees with random-matrix theory.
    Original languageEnglish
    Pages (from-to)104101
    JournalPhysical Review Letters
    Issue number10
    Publication statusPublished - 11 Feb 2002


    • periodic-orbit theory
    • random-matrix theory
    • graphs


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