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Density of states in the non-hermitian Lloyd model

Christopher Mudry·P. W. Brouwer·B. I. Halperin·V. Gurarie·A. Zee
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Abstract

We reconsider the recently proposed connection between density of states in the so-called ``non-hermitian quantum mechanics'' and the localization length for a particle moving in random potential. We argue that it is indeed possible to find the localization length from the density of states of a non-hermitian random ``Hamiltonian''. However, finding the density of states of a non-hermitian random ``Hamiltonian'' remains an open problem, contrary to previous findings in the literature.

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Christopher Mudry, P. W. Brouwer, B. I. Halperin, V. Gurarie, A. Zee. 1998-07-29. Density of states in the non-hermitian Lloyd model. https://doi.org/10.1103/physrevb.58.13539

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