Correlations of nearby levels induced by a random potential
Abstract
We consider a Hamiltonian H which is the sum of a deterministic part H_{0} and of a random potential V. For finite NxN matrices, following a method introduced by Kazakov, we derive a representation of the correlation functions in terms of contour integrals over a finite number of variables. This allows one to analyse the level correlations, whereas the standard methods of random matrix theory, such as the method of orthogonal polynomials, are not available for such cases. At short distance we recover, for an arbitrary H_{0} an oscillating behavior for the connected twolevel correlation.
 Publication:

Nuclear Physics B
 Pub Date:
 February 1996
 DOI:
 10.1016/05503213(96)00394X
 arXiv:
 arXiv:condmat/9605046
 Bibcode:
 1996NuPhB.479..697B
 Keywords:

 Condensed Matter
 EPrint:
 12 pages, latex