Picture of a sphere with binary code

Making Strathclyde research discoverable to the world...

The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs. It exposes Strathclyde's world leading Open Access research to many of the world's leading resource discovery tools, and from there onto the screens of researchers around the world.

Explore Strathclyde Open Access research content

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

Berkolaiko, G. and Shanz, H. and Whitney, R.S. (2002) Leading off-diagonal correction to the form factor of large graphs. Physical Review Letters, 88 (10). p. 104101.

Full text not available in this repository. (Request a copy from the Strathclyde author)

Abstract

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.