Browsing by Subject "Spectral rigidity"

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    Supporting data for spectral rigidity of non-Hermitian symmetric random matrices near the Anderson transition
    (2020-10-27) Shklovskii, Boris, I; Huang, Yi; shklo001@umn.edu; Shklovskii, Boris, I; Materials Research Science & Engineering Center
    We numerically calculate the number variance in the three dimensional TME model and study the evolution of the number variance as a function of average number of eigenvalues with different disorder parameters as the system goes from a metal to an insulator. We use statistics of complex eigenvalues obtained by diagonalization of the TME model on many realizations of cubic lattices with side length L = 8,12,16. The diagonalization is done using LAPACK algorithm. The TME model may be used to describe a random laser.