Correlation Functions in Disordered Systems

Details Correlation Functions in Disordered Systems Correlation Functions in Disordered Systems

1993-10-07

arxiv.org/abs/cond-mat/9310012v1

Physics

Condensed Matter

19 pages, figures not included (available on request), Tex, NSF-ITP-93-124

Scientific paper

10.1103/PhysRevE.49.2588

{Recently, we found that the correlation between the eigenvalues of random hermitean matrices exhibits universal behavior. Here we study this universal behavior and develop a diagrammatic approach which enables us to extend our previous work to the case in which the random matrix evolves in time or varies as some external parameters vary. We compute the current-current correlation function, discuss various generalizations, and compare our work with the work of other authors. We study the distribution of eigenvalues of Hamiltonians consisting of a sum of a deterministic term and a random term. The correlation between the eigenvalues when the deterministic term is varied is calculated.}

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