Phys. Rev. Lett. 88, 104101 (2002) [4 pages]Leading Off-Diagonal Correction to the Form Factor of Large GraphsReceived 10 August 2001; published 25 February 2002 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. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.88.104101
DOI:
10.1103/PhysRevLett.88.104101
PACS:
05.45.Mt, 03.65.Nk
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