246 research outputs found
Non-Universal Behavior of the k-Body Embedded Gaussian Unitary Ensemble of Random Matrices
Using a novel approach, we investigate the shape of the average spectrum and
the spectral fluctuations of the -body embedded unitary ensemble in the
limit of large matrix dimension. We identify the transition point between
semicircle and Gaussian shape. The transition also affects the spectral
fluctuations which deviate from Wigner-Dyson form and become Poissonian in the
limit . Here is the number of Fermions and the number of
degenerate single-particle states.Comment: 4 pages, no figures, revised version including a new proof of one of
our main claim
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