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20202025
most citedOne dimensional quasiperiodic mosaic lattice with exact mobility edges

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

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Showing 2021Show all

7 papers · 1 filter

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…

cond-mat.dis-nn2021

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…

cond-mat.dis-nn2021★ 31 cited

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…

cond-mat.dis-nn2021★ 1 cited

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…

cond-mat.dis-nn2021★ 113 cited

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…