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The spin contribution to the form factor of quantum graphs

Jens Bolte·Jonathan Harrison
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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.

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Jens Bolte, Jonathan Harrison. 2003-04-24. The spin contribution to the form factor of quantum graphs. https://doi.org/10.1088/0305-4470%2F36%2F27%2F101

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