Resonances in one-dimensional Disordered Chain
Herve Kunz, Boris Shapiro
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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