Time Delay Correlations and Resonances in 1D Disordered Systems

Abstract

The frequency dependent time delay correlation function $K(\Omega )$ is studied analytically for a particle reflected from a finite one-dimensional disordered system. In the long sample limit $K(\Omega )$ can be used to extract the resonance width distribution $\rho (\Gamma )$. Both quantities are found to decay algebraically as ${\Gamma }^{-\nu }$, and ${\Omega }^{-\nu }$, $\nu \simeq 1.25$ in a large range of arguments. Numerical calculations for the resonance width distribution in 1D non-Hermitian tight-binding model agree reasonably with the analytical formulas.

4 pages, 2 figures, RevTeX, added reference, corrected misprint

References in corpus (1)

• Successive crossover from ordinary Born scattering to multiple scattering to localization - A delay time analysis in electronically random systems

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