244 citations · 515 across the 13 of their papers we have counts for
11 papers · 1 filter
Coexistence of distinct mobility edges in a 1D quasiperiodic mosaic model
Xu Xia, Weihao Huang, Ke Huang +2
We introduce a one-dimensional quasiperiodic mosaic model with analytically solvable mobility edges that exhibit different phase transitions depending on the system parameters. Spe…
Fate of localization features in a one-dimensional non-Hermitian flat-band lattice with quasiperiodic modulations
Hui Liu, Zhanpeng Lu, Xu Xia +1
We investigate the influence of quasiperiodic modulations on one-dimensional non-Hermitian diamond lattices with an artificial magnetic flux that possess flat bands. Our study…
How to predict critical state: Invariance of Lyapunov exponent in dual spaces
Tong Liu, Xu Xia
The critical state in disordered systems, a fascinating and subtle eigenstate, has attracted a lot of research interest. However, the nature of the critical state is difficult to d…
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…
Real-complex transition driven by quasiperiodicity: a new universality class beyond symmetric one
Tong Liu, Xu Xia
We study a one-dimensional lattice model subject to non-Hermitian quasiperiodic potentials. Firstly, we strictly demonstrate that there exists an interesting dual mapping relation…
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…
A new class of exact mobility edges in non-Hermitian quasiperiodic models
Xu Xia, Ke Huang, Shubo Wang +1
Quantum localization in 1D non-Hermitian systems, especially the search for exact single-particle mobility edges, has attracted considerable interest recently. While much progress…
Anomalous mobility edges in one-dimensional quasiperiodic models
Tong Liu, Xu Xia, Stefano Longhi +1
Mobility edges, separating localized from extended states, are known to arise in the single-particle energy spectrum of disordered systems in dimension strictly higher than two and…
Dual-mapping and quantum criticality in off-diagonal Aubry-André models
Tong Liu, Xu Xia
We study a class of off-diagonal quasiperiodic hopping models described by one-dimensional Su-Schrieffer-Heeger chain with quasiperiodic modulations. We unveil a general dual-mappi…
Duality between two generalized Aubry-Andre models with exact mobility edges
Yucheng Wang, Xu Xia, Yongjian Wang +2
A mobility edge (ME) in energy separating extended from localized states is a central concept in understanding various fundamental phenomena like the metal-insulator transition in…
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…