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| Main Authors: | , , , |
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| Format: | Preprint |
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2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2407.16579 |
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| _version_ | 1866914942975737856 |
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| author | Baryshnikov, K. A. Gert, A. V. Vasilyev, Yu. B. Dmitriev, A. P. |
| author_facet | Baryshnikov, K. A. Gert, A. V. Vasilyev, Yu. B. Dmitriev, A. P. |
| contents | The screening problem for the Coulomb potential of a charge located in a two-dimensional (2D) system has an intriguing solution with a power law distance screening factor due to out-of-plane electrical fields. This is crucially different from a three-dimensional case with exponential screening. The long-range action of electric fields results in the effective inflow of electrons from high-doped regions to low-doped regions of a 2D heterostructure. In graphene and other materials with linear energy spectrum for electrons, such inflow in low-doped regions also occurs, but its effectiveness is dependent on doping level. This can be used for fabricating high-mobility conducting channels. We provide the theory for determining electron potential and concentration in a periodically doped graphene sheet along one dimension taking into account all effects of long-range 2D screening. This results in a substantially nonlinear integro-differential problem, which is solved numerically via computationally cheap algorithm. Similar nonlinear problems arise in a wide range of doped 2D heterostructures made of linear spectrum materials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_16579 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Nonlinear screening and charge redistribution in periodically doped graphene Baryshnikov, K. A. Gert, A. V. Vasilyev, Yu. B. Dmitriev, A. P. Mesoscale and Nanoscale Physics Materials Science The screening problem for the Coulomb potential of a charge located in a two-dimensional (2D) system has an intriguing solution with a power law distance screening factor due to out-of-plane electrical fields. This is crucially different from a three-dimensional case with exponential screening. The long-range action of electric fields results in the effective inflow of electrons from high-doped regions to low-doped regions of a 2D heterostructure. In graphene and other materials with linear energy spectrum for electrons, such inflow in low-doped regions also occurs, but its effectiveness is dependent on doping level. This can be used for fabricating high-mobility conducting channels. We provide the theory for determining electron potential and concentration in a periodically doped graphene sheet along one dimension taking into account all effects of long-range 2D screening. This results in a substantially nonlinear integro-differential problem, which is solved numerically via computationally cheap algorithm. Similar nonlinear problems arise in a wide range of doped 2D heterostructures made of linear spectrum materials. |
| title | Nonlinear screening and charge redistribution in periodically doped graphene |
| topic | Mesoscale and Nanoscale Physics Materials Science |
| url | https://arxiv.org/abs/2407.16579 |