376 citations · 7.2k across the 150 of their papers we have counts for
18 papers · 1 filter
Non-Hermitian Aubry-André model with Power-Law Hopping
Zhihao Xu, Xu Xia, Shu Chen
We study a non-Hermitian AA model with long-range hopping, , and different choices of quasiperiodic parameters to be a member of the metallic mean family. We find that w…
Exact Mobility Edges and Topological Phase Transition in Two-Dimensional non-Hermitian Quasicrystals
Zhihao Xu, Xu Xia, Shu Chen
The emergence of the mobility edge (ME) has been recognized as an important characteristic of Anderson localization. The difficulty in understanding the physics of the MEs in three…
Dynamical evolution in a one-dimensional incommensurate lattice with symmetry
Zhihao Xu, Shu Chen
We investigate the dynamical evolution of a parity-time () symmetric extension of the Aubry-André (AA) model, which exhibits the coincidence of a localization-delocal…
Exact non-Hermitian mobility edges in one-dimensional quasicrystal lattice with exponentially decaying hopping and its dual lattice
Yanxia Liu, Yongjian Wang, Zuohuan Zheng +1
We analytically determine the non-Hermitian mobility edges of a one-dimensional quasiperiodic lattice model with exponential decaying hopping and complex potentials as well as its…
Exact mobility edges, -symmetry breaking and skin effect in one-dimensional non-Hermitian quasicrystals
Yanxia Liu, Yucheng Wang, Xiong-Jun Liu +2
We propose a general analytic method to study the localization transition in one-dimensional quasicrystals with parity-time () symmetry, described by complex quasiper…
Localization transition, spectrum structure and winding numbers for one-dimensional non-Hermitian quasicrystals
Yanxia Liu, Qi Zhou, Shu Chen
By analyzing the Lyapunov exponent (LE), we develop a rigorous, fundamental scheme for the study of general non-Hermitian quasicrystals with both complex phase factor and non-recip…
One dimensional quasiperiodic mosaic lattice with exact mobility edges
Yucheng Wang, Xu Xia, Long Zhang +5
The mobility edges (MEs) in energy which separate extended and localized states are a central concept in understanding the localization physics. In one-dimensional (1D) quasiperiod…
Non-Hermitian mobility edges in one-dimensional quasicrystals with parity-time symmetry
Yanxia Liu, Xiang-Ping Jiang, Junpeng Cao +1
We investigate localization-delocalization transition in one-dimensional non-Hermitian quasiperiodic lattices with exponential short-range hopping, which possess parity-time ($\mat…
Dynamical observation of mobility edges in one-dimensional incommensurate optical lattices
Zhihao Xu, Hongli Huangfu, Yunbo Zhang +1
We investigate the wave packet dynamics for a one-dimensional incommensurate optical lattice with a special on-site potential which exhibits the mobility edge in a compactly analyt…
Effect of incommensurate potential on nodal-link semimetals
Yucheng Wang, Haiping Hu, Shu Chen
We explore the effect of an incommensurate potential on nodal-link semimetals. For system with surface states, we show the nodal-link semimetal undergoes a series of phase transiti…
Quench dynamics in the Aubry-André-Harper model with \textit{p}-wave superconductivity
Qi-Bo Zeng, Shu Chen, Rong Lü
The Anderson localization phase transition in the Aubry-André-Harper (AAH) model with \textit{p}-wave superconducting (SC) pairing is numerically investigated by suddenly changing…
Dynamical signature of localization-delocalization transition in one-dimensional incommensurate lattice
Chao Yang, Yucheng Wang, Pei Wang +2
We investigate the quench dynamics of a one-dimensional incommensurate lattice described by the Aubry-André model by a sudden change of the strength of incommensurate potential …
Anderson localization in the Non-Hermitian Aubry-André-Harper model with physical gain and loss
Qi-Bo Zeng, Shu Chen, Rong Lü
We investigate the Anderson localization in non-Hermitian Aubry-André-Harper (AAH) models with imaginary potentials added to lattice sites to represent the physical gain and loss d…
Fate of Weyl semimetals in the presence of incommensurate potentials
Yucheng Wang, Shu Chen
We investigate the effect of the incommensurate potential on Weyl semimetal, which is proposed to be realized in ultracold atomic systems trapped in three-dimensional optical latti…
Almost mobility edges and existence of critical regions in one-dimensional quasiperiodic lattices
Yucheng Wang, Gao Xianlong, Shu Chen
We study a one-dimensional quasiperiodic system described by the Aubry-André model in the small wave vector limit and demonstrate the existence of almost mobility edges and critica…
Many-body ground state localization and coexistence of localized and extended states in an interacting quasiperiodic system
Yucheng Wang, Haiping Hu, Shu Chen
We study the localization problem of one-dimensional interacting spinless fermions in an incommensurate optical lattice, which changes from an extended phase to a nonergoic many-bo…
Topological superconductor to Anderson localization transition in one-dimensional incommensurate lattices
Xiaoming Cai, Li-Jun Lang, Shu Chen +1
We study the competition of disorder and superconductivity for a one-dimensional p-wave superconductor in incommensurate potentials. With the increase in the strength of the incomm…
Ground-state and dynamic properties of hard-core bosons in one-dimensional incommensurate optical lattices with harmonic trap
Xiaoming Cai, Shu Chen, Yupeng Wang
We study properties of the strongly repulsive Bose gas on one-dimensional incommensurate optical lattices with a harmonic trap, which can be deal with by using the exact numerical…