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. ISSN 1079-7114 (http://dx.doi.org/10.1103/PhysRevLett.88.104101)

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.

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• Item metadata

  Item type:	Article
  ID code:	2058
  Dates:	Date Event 11 February 2002 Published
  Subjects:	Science > Mathematics
  Department:	Faculty of Science > Mathematics and Statistics > Mathematics
  Depositing user:	Strathprints Administrator
  Date deposited:	14 Jan 2007
  Last modified:	11 Nov 2024 08:22
  URI:	https://strathprints.strath.ac.uk/id/eprint/2058