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Resonances in one-dimensional Disordered Chain

Herve Kunz·Boris Shapiro
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Abstract

We study the average density of resonances, $<ρ(x,y)>$, in a semi-infinite disordered chain coupled to a perfect lead. The function $<ρ(x,y)>$ is defined in the complex energy plane and the distance $y$ from the real axes determines the resonance width. We concentrate on strong disorder and derive the asymptotic behavior of $<ρ(x,y)>$ in the limit of small $y$.

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Herve Kunz, Boris Shapiro. 2006-07-30. Resonances in one-dimensional Disordered Chain. https://doi.org/10.1088/0305-4470%2F39%2F32%2Fs16

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