Hidden Breit-Wigner distribution and other properties of random matrices with preferential basis

Details Hidden Breit-Wigner distribution and other properties of random matrices with preferential basis Hidden Breit-Wigner distribution and other properties of random matrices with preferential basis

1995-06-27

arxiv.org/abs/cond-mat/9506123v3

Physics

Condensed Matter

4 pages, 4 postscript figures appended, new version with minor changes

Scientific paper

10.1103/PhysRevLett.75.3501

We study statistical properties of a class of band random matrices which naturally appears in systems of interacting particles. The local spectral density is shown to follow the Breit-Wigner distribution in both localized and delocalized regimes with width independent on the band/system size. We analyse the implications of this distribution to the inverse participation ratio, level spacing statistics and the problem of two interacting particles in a random potential.

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