Resonances in one-dimensional Disordered Chain

Abstract

We study the average density of resonances, $<\rho (x,y)>$, in a semi-infinite disordered chain coupled to a perfect lead. The function $<\rho (x,y)>$ 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 $<\rho (x,y)>$ in the limit of small $y$.

latex, 1 eps figure, 9 pages; v2 - final version, published in the JPhysA Special Issue Dedicated to the Physics of Non-Hermitian Operators

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• Resonances for large one-dimensional "ergodic" systems
• Chebyshev-polynomial expansion of the localization length of Hermitian and non-Hermitian random chains
• Statistics of Resonances in a Semi-infinite Disordered Chain
• Effective Non-Hermitian Hamiltonians for Studying Resonance Statistics in Open Disordered Systems
• Hidden Modes in Open Disordered Media: Analytical, Numerical, and Experimental Results
• Statistics of resonances in one-dimensional disordered systems