Density of states in the non-hermitian Lloyd model

Details Density of states in the non-hermitian Lloyd model Density of states in the non-hermitian Lloyd model

1998-07-29

arxiv.org/abs/cond-mat/9807391v1

Phys. Rev. B 58, 13539 (1998)

Physics

Condensed Matter

Disordered Systems and Neural Networks

6 pages, RevTex, two-columns

Scientific paper

10.1103/PhysRevB.58.13539

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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