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The Leading Off-Diagonal Correction to the Form Factor of Large Graphs | | Gregory Berkolaiko
; Holger Schanz
; Robert S. Whitney
; | | Date: |
24 Jul 2001 | | Journal: | Phys. Rev. Lett. 88 (2002) 104101 | | Subject: | Chaotic Dynamics; Mesoscopic Systems and Quantum Hall Effect | nlin.CD cond-mat.mes-hall | | Abstract: | Using periodic-orbit theory beyond the diagonal approximation we investigate the form factor, $K( au)$, 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 $-2 au^2$ to the form factor which agrees with random-matrix theory. | | Source: | arXiv, nlin.CD/0107056 | | Services: | Forum | Review | PDF | Favorites | |
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