1 research outputs found
Optimal Fluctuations and Tail States of non-Hermitian Operators
A statistical field theory is developed to explore the density of states and
spatial profile of `tail states' at the edge of the spectral support of a
general class of disordered non-Hermitian operators. These states, which are
identified with symmetry broken, instanton field configurations of the theory,
are closely related to localized sub-gap states recently identified in
disordered superconductors. By focusing separately on the problems of a quantum
particle propagating in a random imaginary scalar potential, and a random
imaginary vector potential, we discuss the methodology of our approach and the
universality of the results. Finally, we address potential physical
applications of our findings.Comment: 27 pages AMSLaTeX (with LaTeX2e), 12 eps figures (J. Phys. A, to
appear