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math-ph2012★ 1k cited
The distribution of the ratio of consecutive level spacings in random matrix ensembles
Y. Y. Atas, E. Bogomolny, O. Giraud +1
We derive expressions for the probability distribution of the ratio of two consecutive level spacings for the classical ensembles of random matrices. This ratio distribution was re…
cond-mat.stat-mech2012
Multifractality of eigenfunctions in spin chains
Yasar Yilmaz Atas, Eugene Bogomolny
We investigate different one-dimensional quantum spin-1/2 chain models and by combining analytical and numerical calculations prove that their ground state wave functions in the na…