Generic mobility edges in a class of non-Hermitian quasicrystals
We present approximate solutions for the mobility edge (ME) in a specific class of one-dimensional non-Hermitian (NH) quasicrystals delineating between localized and extended states. These NH quasicrystals exhibit a combination of nonreciprocal hopping terms and imaginary phase factors. Our analytic...
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Elsevier
2025-03-01
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| Series: | Results in Physics |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379725000403 |
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| author | Xiang-Ping Jiang Mingdi Xu Lei Pan |
| author_facet | Xiang-Ping Jiang Mingdi Xu Lei Pan |
| author_sort | Xiang-Ping Jiang |
| collection | DOAJ |
| description | We present approximate solutions for the mobility edge (ME) in a specific class of one-dimensional non-Hermitian (NH) quasicrystals delineating between localized and extended states. These NH quasicrystals exhibit a combination of nonreciprocal hopping terms and imaginary phase factors. Our analytical approach is supported by rigorous numerical calculations, demonstrating significant accuracy. Furthermore, our ansatz aligns closely with the established limiting cases of the NH Aubry–André–Harper (AAH) and Ganeshan–Pixley–Das Sarma (GPD) models, which possess exact results, thereby enhancing the credibility of our approach. Additionally, we have examined their dynamic properties and identified distinct behaviors in different regimes. Our research offers a practical methodology for estimating the position of MEs in a category of NH quasicrystals that break duality. |
| format | Article |
| id | doaj-art-47c4eeeceaf24b47a45da71f9d38743b |
| institution | DOAJ |
| issn | 2211-3797 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Results in Physics |
| spelling | doaj-art-47c4eeeceaf24b47a45da71f9d38743b2025-08-20T03:11:33ZengElsevierResults in Physics2211-37972025-03-017010814610.1016/j.rinp.2025.108146Generic mobility edges in a class of non-Hermitian quasicrystalsXiang-Ping Jiang0Mingdi Xu1Lei Pan2School of Physics, Hangzhou Normal University, Hangzhou, Zhejiang 311121, ChinaSchool of Physics, Nankai University, Tianjin 300071, ChinaSchool of Physics, Nankai University, Tianjin 300071, China; Corresponding author.We present approximate solutions for the mobility edge (ME) in a specific class of one-dimensional non-Hermitian (NH) quasicrystals delineating between localized and extended states. These NH quasicrystals exhibit a combination of nonreciprocal hopping terms and imaginary phase factors. Our analytical approach is supported by rigorous numerical calculations, demonstrating significant accuracy. Furthermore, our ansatz aligns closely with the established limiting cases of the NH Aubry–André–Harper (AAH) and Ganeshan–Pixley–Das Sarma (GPD) models, which possess exact results, thereby enhancing the credibility of our approach. Additionally, we have examined their dynamic properties and identified distinct behaviors in different regimes. Our research offers a practical methodology for estimating the position of MEs in a category of NH quasicrystals that break duality.http://www.sciencedirect.com/science/article/pii/S2211379725000403Anderson transitionMobility edgeNon-Hermitian quasicrystalNon-equilibrium dynamics |
| spellingShingle | Xiang-Ping Jiang Mingdi Xu Lei Pan Generic mobility edges in a class of non-Hermitian quasicrystals Results in Physics Anderson transition Mobility edge Non-Hermitian quasicrystal Non-equilibrium dynamics |
| title | Generic mobility edges in a class of non-Hermitian quasicrystals |
| title_full | Generic mobility edges in a class of non-Hermitian quasicrystals |
| title_fullStr | Generic mobility edges in a class of non-Hermitian quasicrystals |
| title_full_unstemmed | Generic mobility edges in a class of non-Hermitian quasicrystals |
| title_short | Generic mobility edges in a class of non-Hermitian quasicrystals |
| title_sort | generic mobility edges in a class of non hermitian quasicrystals |
| topic | Anderson transition Mobility edge Non-Hermitian quasicrystal Non-equilibrium dynamics |
| url | http://www.sciencedirect.com/science/article/pii/S2211379725000403 |
| work_keys_str_mv | AT xiangpingjiang genericmobilityedgesinaclassofnonhermitianquasicrystals AT mingdixu genericmobilityedgesinaclassofnonhermitianquasicrystals AT leipan genericmobilityedgesinaclassofnonhermitianquasicrystals |