The spin contribution to the form factor of quantum graphs
arXiv:nlin/0304046 · doi:10.1088/0305-4470/36/27/101
Abstract
Following the quantisation of a graph with the Dirac operator (spin-1/2) we explain how additional weights in the spectral form factor K(τ) due to spin propagation around orbits produce higher order terms in the small-τasymptotics in agreement with symplectic random matrix ensembles. We determine conditions on the group of spin rotations sufficient to generate CSE statistics.
9 pages