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Mobility edges in $\mathcal{PT}$-symmetric cross-stitch flat band lattices (2105.14724v1)
Published 31 May 2021 in cond-mat.dis-nn and quant-ph
Abstract: We study the cross-stitch flat band lattice with a $\mathcal{PT}$-symmetric on-site potential and uncover mobility edges with exact solutions. Furthermore, we study the relationship between the $\mathcal{PT}$ symmetry broken point and the localization-delocalization transition point, and verify that mobility edges in this non-Hermitian model is available to signal the $\mathcal{PT}$ symmetry breaking.
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