By Avila's global theory, we analytically reveal that the non-Hermitian mobility edge will take
on a ring structure in the complex plane, which we name as the “mobility ring”. The …

We propose a family of exactly solvable quasiperiodic lattice models with analytical complex
mobility edges, which can incorporate mosaic modulations as a straightforward …

In the burgeoning field of quantum topological photonics, waveguide systems play a crucial
role. This perspective delves into the intricate interplay between photonic waveguides and …

Unlike the well-known Mott's argument that extended and localized states should not coexist
at the same energy in a generic random potential, we formulate the main principles and …

We investigate the effect of an additional modulation parameter δ on the mobility properties
of quasiperiodic lattices described by a generalized Ganeshan-Pixley-Das Sarma model …

A mobility edge (ME), representing the critical energy that distinguishes between extended
and localized states, is a key concept in understanding the transition between extended …

We propose a class of general non-Hermitian quasiperiodic lattice models with exponential
hop**s and analytically determine the genuine complex mobility edges by solving its dual …

In various chaotic quantum many-body systems, the ground states show nontrivial athermal
behavior despite the bulk states exhibiting thermalization. Such athermal states play a …

The interrelationship between localization, quantum transport, and disorder has remained a
fascinating focus in scientific research. Traditionally, it has been widely accepted in the …

We studied the single-particle Anderson localization problem for non-Hermitian systems on
directed graphs. Random regular graph and various undirected standard random graph …