Observation of giant nonlinear Hall conductivity in Bernal bilayer graphene
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| Main Authors: | , , , , , , , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866908381731618816 |
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| author | Chichinadze, Dmitry V. Zhang, Naiyuan James Lin, Jiang-Xiazi Morissette, Erin Wang, Xiaoyu Watanabe, Kenji Taniguchi, Takashi Vafek, Oskar Li, J. I. A. |
| author_facet | Chichinadze, Dmitry V. Zhang, Naiyuan James Lin, Jiang-Xiazi Morissette, Erin Wang, Xiaoyu Watanabe, Kenji Taniguchi, Takashi Vafek, Oskar Li, J. I. A. |
| contents | In a system of two-dimensional electrons, a combination of broken symmetry, interactions, and nontrivial topology can conspire to give rise to a nonlinear transport regime, where electric current density scales as the square of electric field. This regime has become a venue for exciting discoveries such as the nonlinear Hall effect and diode-like nonreciprocal transport. However, interpretation of experimental data is challenging in the nonlinear regime as DC transport is described by a rank-3 conductivity tensor with 6 free parameters. Here, we resolve this challenge by analytically solving for the nonlinear potential distribution across the disk sample for an arbitrary linear and nonlinear conductivity tensors. This allows us to unambiguously extract all components of the nonlinear tensor from experimental measurement. Using this novel tool, we identify giant nonlinear Hall effect in Bernal bilayer graphene. Our methodology provides the first systematic framework for interpreting nonlinear transport and uncovers a new route towards understanding quasi-2D materials. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2411_11156 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Observation of giant nonlinear Hall conductivity in Bernal bilayer graphene Chichinadze, Dmitry V. Zhang, Naiyuan James Lin, Jiang-Xiazi Morissette, Erin Wang, Xiaoyu Watanabe, Kenji Taniguchi, Takashi Vafek, Oskar Li, J. I. A. Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons In a system of two-dimensional electrons, a combination of broken symmetry, interactions, and nontrivial topology can conspire to give rise to a nonlinear transport regime, where electric current density scales as the square of electric field. This regime has become a venue for exciting discoveries such as the nonlinear Hall effect and diode-like nonreciprocal transport. However, interpretation of experimental data is challenging in the nonlinear regime as DC transport is described by a rank-3 conductivity tensor with 6 free parameters. Here, we resolve this challenge by analytically solving for the nonlinear potential distribution across the disk sample for an arbitrary linear and nonlinear conductivity tensors. This allows us to unambiguously extract all components of the nonlinear tensor from experimental measurement. Using this novel tool, we identify giant nonlinear Hall effect in Bernal bilayer graphene. Our methodology provides the first systematic framework for interpreting nonlinear transport and uncovers a new route towards understanding quasi-2D materials. |
| title | Observation of giant nonlinear Hall conductivity in Bernal bilayer graphene |
| topic | Mesoscale and Nanoscale Physics Materials Science Strongly Correlated Electrons |
| url | https://arxiv.org/abs/2411.11156 |