The role of electron-electron interactions in two-dimensional Dirac fermions
The role of electron-electron interactions in two-dimensional Dirac fermion systems remains enigmatic. Using a combination of nonperturbative numerical and analytical techniques that incorporate both the contact and long-range parts of the Coulomb interaction, we identify the two previously discusse...
| Main Authors: | , , , , , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2020
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| Online Access: | https://hdl.handle.net/10356/137396 |
| _version_ | 1811682209556332544 |
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| author | Tang, Ho-Kin Leaw, J. N. Rodrigues, J. N. B. Herbut, I. F. Sengupta, Pinaki Assaad, F. F. Adam, S. |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Tang, Ho-Kin Leaw, J. N. Rodrigues, J. N. B. Herbut, I. F. Sengupta, Pinaki Assaad, F. F. Adam, S. |
| author_sort | Tang, Ho-Kin |
| collection | NTU |
| description | The role of electron-electron interactions in two-dimensional Dirac fermion systems remains enigmatic. Using a combination of nonperturbative numerical and analytical techniques that incorporate both the contact and long-range parts of the Coulomb interaction, we identify the two previously discussed regimes: a Gross-Neveu transition to a strongly correlated Mott insulator and a semimetallic state with a logarithmically diverging Fermi velocity accurately described by the random phase approximation. We predict that experimental realizations of Dirac fermions span this crossover and that this determines whether the Fermi velocity is increased or decreased by interactions. We explain several long-standing mysteries, including why the observed Fermi velocity in graphene is consistently about 20% larger than values obtained from ab initio calculations and why graphene on different substrates shows different behaviors. |
| first_indexed | 2024-10-01T03:53:12Z |
| format | Journal Article |
| id | ntu-10356/137396 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T03:53:12Z |
| publishDate | 2020 |
| record_format | dspace |
| spelling | ntu-10356/1373962023-02-28T19:22:06Z The role of electron-electron interactions in two-dimensional Dirac fermions Tang, Ho-Kin Leaw, J. N. Rodrigues, J. N. B. Herbut, I. F. Sengupta, Pinaki Assaad, F. F. Adam, S. School of Physical and Mathematical Sciences Science::Physics Gross-Neveu Fermi Velocity The role of electron-electron interactions in two-dimensional Dirac fermion systems remains enigmatic. Using a combination of nonperturbative numerical and analytical techniques that incorporate both the contact and long-range parts of the Coulomb interaction, we identify the two previously discussed regimes: a Gross-Neveu transition to a strongly correlated Mott insulator and a semimetallic state with a logarithmically diverging Fermi velocity accurately described by the random phase approximation. We predict that experimental realizations of Dirac fermions span this crossover and that this determines whether the Fermi velocity is increased or decreased by interactions. We explain several long-standing mysteries, including why the observed Fermi velocity in graphene is consistently about 20% larger than values obtained from ab initio calculations and why graphene on different substrates shows different behaviors. NRF (Natl Research Foundation, S’pore) MOE (Min. of Education, S’pore) Accepted version 2020-03-23T06:06:00Z 2020-03-23T06:06:00Z 2018 Journal Article Tang, H.-K., Leaw, J. N., Rodrigues, J. N. B., Herbut, I. F., Sengupta, P., Assaad, F. F., & Adam, S. (2018). The role of electron-electron interactions in two-dimensional Dirac fermions. Science, 361(6402), 570-574. doi:10.1126/science.aao2934 0036-8075 https://hdl.handle.net/10356/137396 10.1126/science.aao2934 30093594 2-s2.0-85051363548 6402 361 570 574 en Science © 2018 The Author(s). All rights reserved. This paper was published by American Association for the Advancement of Science in Science and is made available with permission of American Association for the Advancement of Science. application/pdf |
| spellingShingle | Science::Physics Gross-Neveu Fermi Velocity Tang, Ho-Kin Leaw, J. N. Rodrigues, J. N. B. Herbut, I. F. Sengupta, Pinaki Assaad, F. F. Adam, S. The role of electron-electron interactions in two-dimensional Dirac fermions |
| title | The role of electron-electron interactions in two-dimensional Dirac fermions |
| title_full | The role of electron-electron interactions in two-dimensional Dirac fermions |
| title_fullStr | The role of electron-electron interactions in two-dimensional Dirac fermions |
| title_full_unstemmed | The role of electron-electron interactions in two-dimensional Dirac fermions |
| title_short | The role of electron-electron interactions in two-dimensional Dirac fermions |
| title_sort | role of electron electron interactions in two dimensional dirac fermions |
| topic | Science::Physics Gross-Neveu Fermi Velocity |
| url | https://hdl.handle.net/10356/137396 |
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