Large-$N$ expansion for the time-delay matrix of ballistic chaotic cavities

Abstract

We consider the $1/N$-expansion of the moments of the proper delay times for a ballistic chaotic cavity supporting $N$ scattering channels. In the random matrix approach, these moments correspond to traces of negative powers of Wishart matrices. For systems with and without broken time reversal symmetry (Dyson indices $\beta =1$ and $\beta =2$) we obtain a recursion relation, which efficiently generates the coefficients of the $1/N$-expansion of the moments. The integrality of these coefficients and their possible diagrammatic interpretation is discussed.

arXiv comment26 pages, 1 table. Final version

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Cited by in corpus (15)

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