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

Preprint

15 September 1995

preprint
Published by arXiv in arXiv

Abstract

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.

Keywords

LOCAL SPECTRAL DENSITY
RANDOM BANDED MATRICES
DENSITY OF STATES
SPECTRAL DENSITY
SPARSE STRUCTURE
WIGNER RANDOM
WIGNER

All Related Versions

Version 1, 1995-09-15, ArXiv
Version 2, 1996-01-11, ArXiv
Published version: Physical Review Letters, 76 (10), 1603.

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