We demonstrate the existence of generalized Aubry-André self-duality in a class of non-
Hermitian quasiperiodic lattices with complex potentials. From the self-duality relations, the …

The Aubry-André-Harper model provides a paradigmatic example of aperiodic order in a
one-dimensional lattice displaying a delocalization-localization phase transition at a finite …

We develop a rigorous theoretical framework based on principles from statistical mechanics
that allows one to predict the equilibrium response of classical non-Hermitian arrangements …

We study the transport and spectral properties of a non-Hermitian one-dimensional
disordered lattice, the diagonal matrix elements of which are random complex variables …

We demonstrate the creation of robust localized zero-energy states that are induced into
topologically trivial systems by the insertion of a PT-symmetric defect with local gain and …

In a disordered environment, the average transmission of a propagating wave falls with
increasing disorder. Beyond a crossover, transport is arrested because the wave is trapped …

Disorder can localize the eigenstates of one-dimensional non-Hermitian systems, leading to
an Anderson transition with a critical exponent of 1. We show that, due to the lack of energy …

Anderson localization, a fundamental wave phenomenon, is a challenging problem in
quasiparticle transport, exacerbated in the presence of dissipation. Of late, however, a few …

The topological funneling effect, ie, the motion of an arbitrary excitation to a focal point of the
lattice no matter where the lattice is excited, is a dynamical effect due to the non-Hermitian …

Exceptional points (EP) in a non-Hermitian system involve the simultaneous coalescence of
two or multiple eigenvalues and associated eigenvectors. Known for their novel …