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

We investigate the entanglement dynamics of the non-Hermitian Aubry-André-Harper chain.
The results reveal that by increasing quasiperiodic strength, a phase transition occurs from …

The disorder systems host three types of fundamental quantum states, known as the
extended, localized, and critical states, of which the critical states remain being much less …

Mobility edges, separating localized from extended states, are known to arise in the single-
particle energy spectrum of certain one-dimensional models with quasiperiodic disorder …

We propose a solvable class of 1D quasiperiodic tight-binding models encompassing
extended, localized, and critical phases, separated by nontrivial mobility edges. Limiting …

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 …

Conventionally a mobility edge (ME) marks a critical energy that separates two different
transport zones where all states are extended and localized, respectively. Here we propose …

We develop a renormalization group (RG) description of the localization properties of one-
dimensional (1D) quasiperiodic lattice models. The RG flow is induced by increasing the unit …

Quantum transport and localization are fundamental concepts in condensed matter physics.
It is commonly believed that in one-dimensional systems, the existence of mobility edges is …

In one-dimensional Hermitian tight-binding models, mobility edges separating extended and
localized states can appear in the presence of properly engineered quasiperiodical …