Mobility edges in $\mathcal{PT}$-symmetric cross-stitch flat band lattices
Disordered Systems and Neural Networks
2021-06-01 v1 Quantum Physics
Abstract
We study the cross-stitch flat band lattice with a -symmetric on-site potential and uncover mobility edges with exact solutions. Furthermore, we study the relationship between the symmetry broken point and the localization-delocalization transition point, and verify that mobility edges in this non-Hermitian model is available to signal the symmetry breaking.
Keywords
Cite
@article{arxiv.2105.14724,
title = {Mobility edges in $\mathcal{PT}$-symmetric cross-stitch flat band lattices},
author = {Tong Liu and Shujie Cheng},
journal= {arXiv preprint arXiv:2105.14724},
year = {2021}
}
Comments
5 pages, 2 figures; Comments and suggestions are welcome