Ring structure in the complex plane: A fingerprint of a non-Hermitian mobility edge

SZ Li, Z Li - Physical Review B, 2024 - APS
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 …

Non-Hermitian butterfly spectra in a family of quasiperiodic lattices

L Wang, Z Wang, S Chen - Physical Review B, 2024 - APS
We propose a family of exactly solvable quasiperiodic lattice models with analytical complex
mobility edges, which can incorporate mosaic modulations as a straightforward …

Emergent strength-dependent scale-free mobility edge in a nonreciprocal long-range Aubry-André-Harper model

GJ Liu, JM Zhang, SZ Li, Z Li - Physical Review A, 2024 - APS
We investigate the properties of the mobility edge in an Aubry-André-Harper model with
nonreciprocal long-range hop**. The results reveal that there can be a type of mobility …

Asymmetric transfer matrix analysis of Lyapunov exponents in one-dimensional nonreciprocal quasicrystals

SZ Li, E Cheng, SL Zhu, Z Li - Physical Review B, 2024 - APS
The Lyapunov exponent, serving as an indicator of the localized state, is commonly utilized
to identify localization transitions in disordered systems. In non-Hermitian quasicrystals, the …

Engineering mobility in quasiperiodic lattices with exact mobility edges

Z Wang, Y Zhang, L Wang, S Chen - Physical Review B, 2023 - APS
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 …

Map** the topology-localization phase diagram with quasiperiodic disorder using a programmable superconducting simulator

X Li, H Xu, J Wang, LZ Tang, DW Zhang, C Yang… - Physical Review …, 2024 - APS
We explore a topology-localization phase diagram by simulating a one-dimensional Su-
Schrieffer-Heeger model with quasiperiodic disorder using a programmable …

Exact complex mobility edges and flagellate-like spectra for non-Hermitian quasicrystals with exponential hop**s

L Wang, J Liu, Z Wang, S Chen - Physical Review B, 2024 - APS
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 …