Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons
Nonuniform elastic strain is known to induce pseudo-Landau levels in Dirac materials. But these pseudo-Landau levels are hardly resolvable in an analytic fashion when the strain is strong because of the emerging complicated space dependence in both the strain-modulated Fermi velocity and the strain-...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2022-05-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.4.023137 |
| _version_ | 1827285525604597760 |
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| author | Tianyu Liu Hai-Zhou Lu |
| author_facet | Tianyu Liu Hai-Zhou Lu |
| author_sort | Tianyu Liu |
| collection | DOAJ |
| description | Nonuniform elastic strain is known to induce pseudo-Landau levels in Dirac materials. But these pseudo-Landau levels are hardly resolvable in an analytic fashion when the strain is strong because of the emerging complicated space dependence in both the strain-modulated Fermi velocity and the strain-induced pseudomagnetic field. We here analytically characterize the solution to the pseudo-Landau levels in strongly bent graphene nanoribbons by treating the effects of the nonuniform Fermi velocity and pseudomagnetic field on equal footing. The analytic solution is detectable through angle-resolved photoemission spectroscopy and allows quantitative comparison between theories and various experimental signatures of transport, such as the Shubnikov-de Haas oscillation in the complete absence of magnetic fields and the negative strain-resistivity resulting from the valley anomaly. The analytic solution can be generalized to various Dirac materials and will shed light on the related experimental explorations and straintronics applications. |
| first_indexed | 2024-04-24T10:15:10Z |
| format | Article |
| id | doaj.art-6dc0ef4e6e1b44c5a7691dac9a92c5a9 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:15:10Z |
| publishDate | 2022-05-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-6dc0ef4e6e1b44c5a7691dac9a92c5a92024-04-12T17:21:02ZengAmerican Physical SocietyPhysical Review Research2643-15642022-05-014202313710.1103/PhysRevResearch.4.023137Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbonsTianyu LiuHai-Zhou LuNonuniform elastic strain is known to induce pseudo-Landau levels in Dirac materials. But these pseudo-Landau levels are hardly resolvable in an analytic fashion when the strain is strong because of the emerging complicated space dependence in both the strain-modulated Fermi velocity and the strain-induced pseudomagnetic field. We here analytically characterize the solution to the pseudo-Landau levels in strongly bent graphene nanoribbons by treating the effects of the nonuniform Fermi velocity and pseudomagnetic field on equal footing. The analytic solution is detectable through angle-resolved photoemission spectroscopy and allows quantitative comparison between theories and various experimental signatures of transport, such as the Shubnikov-de Haas oscillation in the complete absence of magnetic fields and the negative strain-resistivity resulting from the valley anomaly. The analytic solution can be generalized to various Dirac materials and will shed light on the related experimental explorations and straintronics applications.http://doi.org/10.1103/PhysRevResearch.4.023137 |
| spellingShingle | Tianyu Liu Hai-Zhou Lu Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons Physical Review Research |
| title | Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons |
| title_full | Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons |
| title_fullStr | Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons |
| title_full_unstemmed | Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons |
| title_short | Analytic solution to pseudo-Landau levels in strongly bent graphene nanoribbons |
| title_sort | analytic solution to pseudo landau levels in strongly bent graphene nanoribbons |
| url | http://doi.org/10.1103/PhysRevResearch.4.023137 |
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