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Publication Detail
Moments of wishart-laguerre and jacobi ensembles of random matrices: Application to the quantum transport problem in chaotic cavities
We collect explicit and user-friendly expressions for one-point densities of the real eigenvalues {λi} of N × N Wishart-Laguerre and Jacobi random matrices with orthogonal, unitary and symplectic symmetry. Using these formulae, we compute integer moments τ n = (σ N i=1 λ n i i) for all symmetry classes without any large N approximation. In particular, our results provide exact expressions for moments of transmission eigenvalues in chaotic cavities with time-reversal or spin-flip symmetry and supporting a finite and arbitrary number of electronic channels in the two incoming leads.
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