Pure real energy spectrum and exact anomalous mobility edges in a non-Hermitian flat band geometry.
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| Title: | Pure real energy spectrum and exact anomalous mobility edges in a non-Hermitian flat band geometry. |
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| Authors: | Lu, Zhanpeng1 (AUTHOR), Liu, Hui2 (AUTHOR) liuhui99@sxu.edu.cn, Gu, Yan3 (AUTHOR) guyan@sxgkd.edu.cn, Xu, Zhihao2,4 (AUTHOR) xuzhihao@sxu.edu.cn |
| Source: | Chinese Physics B. 2026, Vol. 35 Issue 7, p1-9. 9p. |
| Subjects: | Skin effect, Lattice models (Statistical physics), Electric circuit design & construction, Metal-insulator transitions, Electronic band structure |
| Abstract: | The interplay between quasi-periodicity and non-Hermiticity can give rise to rich localization phenomena. In this work, we investigate the localization transition in a one-dimensional nonreciprocal cross-stitch flat band lattice with diagonal quasi-periodic mosaic modulation, which incorporates both constant and quasi-periodic potentials. In general, non-reciprocity induces the skin effect in non-Hermitian systems through nonreciprocal transitions. However, in this work, we find that in a non-reciprocal flat band lattice, when the constant potential is zero, the skin effect does not exist in the system, and the energy spectrum remains purely real and well-defined. In the presence of a non-zero constant potential, we derive analytical solutions for a class of anomalous mobility edges (AMEs) under periodic boundary conditions (PBCs), revealing the systems localization and critical properties. Through analytic results, we demonstrate that the system is fundamentally equivalent to a generalized non-Hermitian Aubry–André (AA) model. Importantly, this equivalence implies the existence of a transition from a critical phase to a localized phase, as predicted by the non-Hermitian AA model. However, our analysis reveals that the transition point from the critical phase to the localized phase is energy-dependent, which fundamentally accounts for the emergence of AMEs. Furthermore, we design a classical electrical circuit to experimentally realize our system. This work provides new insights into localization transitions in non-Hermitian flat band systems. [ABSTRACT FROM AUTHOR] |
| Copyright of Chinese Physics B is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 195152604 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Pure real energy spectrum and exact anomalous mobility edges in a non-Hermitian flat band geometry. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Lu%2C+Zhanpeng%22">Lu, Zhanpeng</searchLink><relatesTo>1</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Liu%2C+Hui%22">Liu, Hui</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> liuhui99@sxu.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Gu%2C+Yan%22">Gu, Yan</searchLink><relatesTo>3</relatesTo> (AUTHOR)<i> guyan@sxgkd.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Xu%2C+Zhihao%22">Xu, Zhihao</searchLink><relatesTo>2,4</relatesTo> (AUTHOR)<i> xuzhihao@sxu.edu.cn</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Chinese+Physics+B%22">Chinese Physics B</searchLink>. 2026, Vol. 35 Issue 7, p1-9. 9p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Skin+effect%22">Skin effect</searchLink><br /><searchLink fieldCode="DE" term="%22Lattice+models+%28Statistical+physics%29%22">Lattice models (Statistical physics)</searchLink><br /><searchLink fieldCode="DE" term="%22Electric+circuit+design+%26+construction%22">Electric circuit design & construction</searchLink><br /><searchLink fieldCode="DE" term="%22Metal-insulator+transitions%22">Metal-insulator transitions</searchLink><br /><searchLink fieldCode="DE" term="%22Electronic+band+structure%22">Electronic band structure</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: The interplay between quasi-periodicity and non-Hermiticity can give rise to rich localization phenomena. In this work, we investigate the localization transition in a one-dimensional nonreciprocal cross-stitch flat band lattice with diagonal quasi-periodic mosaic modulation, which incorporates both constant and quasi-periodic potentials. In general, non-reciprocity induces the skin effect in non-Hermitian systems through nonreciprocal transitions. However, in this work, we find that in a non-reciprocal flat band lattice, when the constant potential is zero, the skin effect does not exist in the system, and the energy spectrum remains purely real and well-defined. In the presence of a non-zero constant potential, we derive analytical solutions for a class of anomalous mobility edges (AMEs) under periodic boundary conditions (PBCs), revealing the systems localization and critical properties. Through analytic results, we demonstrate that the system is fundamentally equivalent to a generalized non-Hermitian Aubry–André (AA) model. Importantly, this equivalence implies the existence of a transition from a critical phase to a localized phase, as predicted by the non-Hermitian AA model. However, our analysis reveals that the transition point from the critical phase to the localized phase is energy-dependent, which fundamentally accounts for the emergence of AMEs. Furthermore, we design a classical electrical circuit to experimentally realize our system. This work provides new insights into localization transitions in non-Hermitian flat band systems. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Chinese Physics B is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1088/1674-1056/ae1efd Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 9 StartPage: 1 Subjects: – SubjectFull: Skin effect Type: general – SubjectFull: Lattice models (Statistical physics) Type: general – SubjectFull: Electric circuit design & construction Type: general – SubjectFull: Metal-insulator transitions Type: general – SubjectFull: Electronic band structure Type: general Titles: – TitleFull: Pure real energy spectrum and exact anomalous mobility edges in a non-Hermitian flat band geometry. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Lu, Zhanpeng – PersonEntity: Name: NameFull: Liu, Hui – PersonEntity: Name: NameFull: Gu, Yan – PersonEntity: Name: NameFull: Xu, Zhihao IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 07 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 16741056 Numbering: – Type: volume Value: 35 – Type: issue Value: 7 Titles: – TitleFull: Chinese Physics B Type: main |
| ResultId | 1 |
