Leading off-diagonal correction to the form factor of large graphs |
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Authors: | Berkolaiko Gregory Schanz Holger Whitney Robert S |
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Affiliation: | The Weizmann Institute of Science, Rehovot 76100, Israel. |
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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. |
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