activity
20202025
most citedOne dimensional quasiperiodic mosaic lattice with exact mobility edges

244 citations · 515 across the 13 of their papers we have counts for

collaborators

13 papers

cond-mat.dis-nn2025

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…

cond-mat.dis-nn2023★ 4 cited

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…

cond-mat.dis-nn2023

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…

quant-ph2022

Eigenvalues restricted by Lyapunov exponent of eigenstates

Tong Liu, Xu Xia

We point out that the Lyapunov exponent of the eigenstate places restrictions on the eigenvalue. Consequently, with regard to non-Hermitian systems, even without any symmetry, the…

math.DS2021★ 27 cited

Exact mobility edges for 1D quasiperiodic models

Yongjian Wang, Xu Xia, Jiangong You +2

Mobility edges (ME), i.e. critical energies which separate absolutely continuous spectrum and purely point spectrum, is an important issue in quantum physics. So far there are two…

cond-mat.dis-nn2021★ 44 cited

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…