Work

Distribution of Eigenvalues in Non-Hermitian Anderson Models

Year: 1998

Type: article

Abstract: We develop a theory which describes the behavior of eigenvalues of a class of one-dimensional random non-Hermitian operators introduced recently by Hatano and Nelson. We prove that the eigenvalues are distributed along a curve in the complex plane. An equation for the curve is derived, and the density of complex eigenvalues is found in terms of spectral characteristics of a ``reference'' Hermitian disordered system. The generic properties of the eigenvalue distribution are discussed.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.80.2897

Authors: Ilya Ya. Goldsheid, Boris A. Khoruzhenko

Institutions: Queen Mary University of London, Isaac Newton Institute for Mathematical Sciences

Language: English

Topic: Quantum Mechanics and Non-Hermitian Physics

Subfield: Atomic and Molecular Physics, and Optics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W1967160695

FWCI: 8.356

Cites: 16

Cited by: 169

Related to: 9