Parametric spectral correlations in disordered and chaotic structures

Details Parametric spectral correlations in disordered and chaotic structures Parametric spectral correlations in disordered and chaotic structures

2002-01-29

arxiv.org/abs/cond-mat/0201543v2

Phys. Rev. Lett. 88, 256808 (2002)

Physics

Condensed Matter

4 pages, 1 figure

Scientific paper

10.1103/PhysRevLett.88.256808

We explore the influence of external perturbations on the energy levels of a Hamiltonian drawn at random from the Gaussian unitary distribution of Hermitian matrices. By deriving the joint distribution function of eigenvalues, we obtain the (n,m)-point parametric correlation function of the initial and final density of states for perturbations of arbitrary rank and strength. A further generalization of these results allows for the incorporation of short-range spatial correlations in diffusive as well as ballistic chaotic structures.

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