Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866929712458104832 |
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| author | Jiang, Xiang-Ping Xu, Mingdi Pan, Lei |
| author_facet | Jiang, Xiang-Ping Xu, Mingdi Pan, Lei |
| contents | We provide approximate solutions for the mobility edge (ME) that demarcates localized and extended states within a specific class of one-dimensional non-Hermitian (NH) quasicrystals. These NH quasicrystals exhibit a combination of nonreciprocal hopping terms and complex quasiperiodic on-site potentials. Our analytical approach is substantiated by rigorous numerical calculations, demonstrating significant accuracy. Furthermore, our ansatz closely agrees with the established limiting cases of the NH Aubry-Andr{é}-Harper (AAH) and Ganeshan-Pixley-Das Sarma (GPD) models, which have exact results, thereby enhancing its credibility. Additionally, we have examined their dynamic properties and discovered distinct behaviors in different regimes. Our research provides a practical methodology for estimating the position of MEs in a category of NH quasicrystals that break duality. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2410_14487 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals Jiang, Xiang-Ping Xu, Mingdi Pan, Lei Disordered Systems and Neural Networks We provide approximate solutions for the mobility edge (ME) that demarcates localized and extended states within a specific class of one-dimensional non-Hermitian (NH) quasicrystals. These NH quasicrystals exhibit a combination of nonreciprocal hopping terms and complex quasiperiodic on-site potentials. Our analytical approach is substantiated by rigorous numerical calculations, demonstrating significant accuracy. Furthermore, our ansatz closely agrees with the established limiting cases of the NH Aubry-Andr{é}-Harper (AAH) and Ganeshan-Pixley-Das Sarma (GPD) models, which have exact results, thereby enhancing its credibility. Additionally, we have examined their dynamic properties and discovered distinct behaviors in different regimes. Our research provides a practical methodology for estimating the position of MEs in a category of NH quasicrystals that break duality. |
| title | Generic non-Hermitian mobility edges in a class of duality-breaking quasicrystals |
| topic | Disordered Systems and Neural Networks |
| url | https://arxiv.org/abs/2410.14487 |