Wigner Random Banded Matrices with Sparse Structure: Local Spectral Density of States

Details Wigner Random Banded Matrices with Sparse Structure: Local Spectral Density of States Wigner Random Banded Matrices with Sparse Structure: Local Spectral Density of States

1995-09-15

arxiv.org/abs/chao-dyn/9509011v2

Phys.Rev.Lett. v.76 (1996), 1603

Nonlinear Sciences

Chaotic Dynamics

Misprints are corrected and stylistic changes are made. To be published in PRL

Scientific paper

10.1103/PhysRevLett.76.1603

Random banded matrices with linearly increasing diagonal elements are recently considered as an attractive model for complex nuclei and atoms. Apart from early papers by Wigner \cite{Wig} there were no analytical studies on the subject. In this letter we present analytical and numerical results for local spectral density of states (LDOS) for more general case of matrices with a sparsity inside the band. The crossover from the semicircle form of LDOS to that given by the Breit-Wigner formula is studied in detail.

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