Mobility edges in PT-symmetric cross-stitch flat band lattices

2021/05/31 by Tong Liu, Shujie Cheng, Liu, Tong +1
Physics and Astronomy · #Disordered Systems and Neural Networks (cond-mat.dis-nn) #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum, superfluid, helium dynamics

paper · pdf · doi:10.48550/arxiv.2105.14724

openalex publication_date 2021/05/31 · openalex created_date 2021/06/22 · openalex updated_date 2026/07/28

Abstract

We study the cross-stitch flat band lattice with a PT-symmetric on-site potential and uncover mobility edges with exact solutions. Furthermore, we study the relationship between the 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 PT symmetry breaking.

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