Effect of Berry phase on nonlinear response of two-dimensional fermions
We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically nontrivial wave functions characterized by the Berry phase Φ_{n}=nπ,n=1,2,.... In particular, we find that owing to the suppression of backscattering at odd n, Hall field-induced resist...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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American Physical Society
2020-04-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.2.022011 |
| _version_ | 1797211499156996096 |
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| author | O. E. Raichev M. A. Zudov |
| author_facet | O. E. Raichev M. A. Zudov |
| author_sort | O. E. Raichev |
| collection | DOAJ |
| description | We develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically nontrivial wave functions characterized by the Berry phase Φ_{n}=nπ,n=1,2,.... In particular, we find that owing to the suppression of backscattering at odd n, Hall field-induced resistance oscillations, which stem from elastic electron transitions between Hall field-tilted Landau levels, are qualitatively distinct from those at even n: Their amplitude decays with the electric field and their extrema are phase shifted by a quarter cycle. The theory unifies the cases of graphene (n=1) and graphite bilayer (n=2) with the case of conventional 2D electron gas (n=0) and suggests another method to probe backscattering in topological 2D systems. |
| first_indexed | 2024-04-24T10:27:27Z |
| format | Article |
| id | doaj.art-d8445fe260b44cbca054026e4df7a16a |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:27:27Z |
| publishDate | 2020-04-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-d8445fe260b44cbca054026e4df7a16a2024-04-12T16:52:36ZengAmerican Physical SocietyPhysical Review Research2643-15642020-04-012202201110.1103/PhysRevResearch.2.022011Effect of Berry phase on nonlinear response of two-dimensional fermionsO. E. RaichevM. A. ZudovWe develop a theory of nonlinear response to an electric field of two-dimensional (2D) fermions with topologically nontrivial wave functions characterized by the Berry phase Φ_{n}=nπ,n=1,2,.... In particular, we find that owing to the suppression of backscattering at odd n, Hall field-induced resistance oscillations, which stem from elastic electron transitions between Hall field-tilted Landau levels, are qualitatively distinct from those at even n: Their amplitude decays with the electric field and their extrema are phase shifted by a quarter cycle. The theory unifies the cases of graphene (n=1) and graphite bilayer (n=2) with the case of conventional 2D electron gas (n=0) and suggests another method to probe backscattering in topological 2D systems.http://doi.org/10.1103/PhysRevResearch.2.022011 |
| spellingShingle | O. E. Raichev M. A. Zudov Effect of Berry phase on nonlinear response of two-dimensional fermions Physical Review Research |
| title | Effect of Berry phase on nonlinear response of two-dimensional fermions |
| title_full | Effect of Berry phase on nonlinear response of two-dimensional fermions |
| title_fullStr | Effect of Berry phase on nonlinear response of two-dimensional fermions |
| title_full_unstemmed | Effect of Berry phase on nonlinear response of two-dimensional fermions |
| title_short | Effect of Berry phase on nonlinear response of two-dimensional fermions |
| title_sort | effect of berry phase on nonlinear response of two dimensional fermions |
| url | http://doi.org/10.1103/PhysRevResearch.2.022011 |
| work_keys_str_mv | AT oeraichev effectofberryphaseonnonlinearresponseoftwodimensionalfermions AT mazudov effectofberryphaseonnonlinearresponseoftwodimensionalfermions |