2019
DOI: 10.48550/arxiv.1907.09281
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Numerical study of the transverse localization of waves in one-dimensional lattices with randomly distributed gain and loss: Effect of disorder correlations

Ba Phi Nguyen,
Thi Kim Thoa Lieu,
Kihong Kim

Abstract: We study numerically the effects of short-and long-range correlations on the localization properties of the eigenstates in a one-dimensional disordered lattice characterized by a random non-Hermitian Hamiltonian, where the imaginary part of the on-site potential is random. We calculate participation number versus strengths of disorder and correlation. In the short-ranged case and when the correlation length is sufficiently small, we find that there exists a critical value of the disorder strength, below which … Show more

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