Delocalization in an open one-dimensional chain in an imaginary vector potential

Igor V. Yurkevich; Igor V. Lerner

doi:10.1103/physrevlett.82.5080

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Delocalization in an open one-dimensional chain in an imaginary vector potential

Igor V. Yurkevich·Igor V. Lerner

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Abstract

We present first results for the transmittance, T, through a 1D disordered system with an imaginary vector potential, ih, which provide a new analytical criterion for a delocalization transition in the model. It turns out that the position of the critical curve on the complex energy plane (i.e. the curve where an exponential decay of is changed by a power-law one) is different from that obtained previously from the complex energy spectra. Corresponding curves for or are also different. This happens because of different scales of the exponential decay of one-particle Green's functions (GF) defining the spectra and many-particle GF governing transport characteristics, and reflects higher-order correlations in localized eigenstates of the non-Hermitian model.

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Igor V. Yurkevich, Igor V. Lerner. 1999-03-02. Delocalization in an open one-dimensional chain in an imaginary vector potential. https://doi.org/10.1103/physrevlett.82.5080

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