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- W3100518311 abstract "We study eigenvectors in the deformed Gaussian unitary ensemble of random matrices $H=Wtilde{H}W$, where $tilde{H}$ is a random matrix from Gaussian unitary ensemble and $W$ is a deterministic diagonal matrix with positive entries. Using the supersymmetry approach we calculate analytically the moments and the distribution function of the eigenvectors components for a generic matrix $W$. We show that specific choices of $W$ can modify significantly the nature of the eigenvectors changing them from extended to critical to localized. Our analytical results are supported by numerical simulations." @default.
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- W3100518311 date "2016-02-23" @default.
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- W3100518311 title "Statistics of eigenvectors in the deformed Gaussian unitary ensemble of random matrices" @default.
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- W3100518311 doi "https://doi.org/10.1088/1751-8113/49/14/145005" @default.
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