Density of states in the non-hermitian Lloyd model
  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. 
Christopher Mudry, P. W. Brouwer, B. I. Halperin, V. Gurarie, A. Zee