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

abstract

  • Using periodic-orbit theory beyond the diagonal approximation we investigate the form factor, K(tau), 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 -2tau(2) to the form factor which agrees with random-matrix theory.

published proceedings

  • Phys Rev Lett

author list (cited authors)

  • Berkolaiko, G., Schanz, H., & Whitney, R. S.

citation count

  • 46

complete list of authors

  • Berkolaiko, Gregory||Schanz, Holger||Whitney, Robert S

publication date

  • March 2002