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• W2093668963 abstract "We have studied numerically several statistical properties of the spectra of disordered electronic systems under the influence of an Aharonov Bohm flux $varphi$, which acts as a time--reversal symmetry breaking parameter. The distribution of curvatures of the single electron energy levels has a modified Lorentz form with different exponents in the GOE and GUE regime. It has Gaussian tails in the crossover regime. The typical curvature is found to vary as $ -E_cln (E_cvarphi^2/Delta)$ ($E_c$ is the Thouless energy and $Delta$ the mean level spacing) and to diverge at zero flux. We show that the harmonics of the variation with $varphi$ of single level quantities (current or curvature) are correlated, in contradiction with the perturbative result. The single level current correlation function is found to have a logarithmic behavior at low flux, in contrast to the pure symmetry cases. The distribution of single level currents is non--Gaussian in the GOE--GUE transition regime. We find a universal relation between $g_d$, the typical slope of the levels, and $g_c$, the width of the curvature distribution, as was proposed by Akkermans and Montambaux. We conjecture the validity of our results for any chaotic quantum system." @default.
• W2093668963 created "2016-06-24" @default.
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• W2093668963 date "1994-09-15" @default.
• W2093668963 modified "2023-09-26" @default.
• W2093668963 title "Universal spectral correlations in diffusive quantum systems" @default.
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• W2093668963 doi "https://doi.org/10.1103/physrevb.50.7776" @default.
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