Electron states in the field of charged impurities in two-dimensional Dirac systems
We review the theoretical and experimental results connected with the electron states in two-dimensional Dirac systems paying a special attention to the atomic collapse in graphene. Two-electron bound states of a Coulomb impurity are considered too. A rather subtle role of a magnetic field in the su...
Збережено в:
| Опубліковано в: : | Физика низких температур |
|---|---|
| Дата: | 2018 |
| Автори: | , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2018
|
| Теми: | |
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/176115 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Electron states in the field of charged impurities in two-dimensional Dirac systems / E.V. Gorbar, V.P. Gusynin, O.O. Sobol // Физика низких температур. — 2018. — Т. 44, № 5. — С. 491-524. — Бібліогр.: 142 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862663180512133120 |
|---|---|
| author | Gorbar, E.V. Gusynin, V.P. Sobol, O.O. |
| author_facet | Gorbar, E.V. Gusynin, V.P. Sobol, O.O. |
| citation_txt | Electron states in the field of charged impurities in two-dimensional Dirac systems / E.V. Gorbar, V.P. Gusynin, O.O. Sobol // Физика низких температур. — 2018. — Т. 44, № 5. — С. 491-524. — Бібліогр.: 142 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | We review the theoretical and experimental results connected with the electron states in two-dimensional Dirac systems paying a special attention to the atomic collapse in graphene. Two-electron bound states of a Coulomb impurity are considered too. A rather subtle role of a magnetic field in the supercritical charge problem in graphene is discussed. The electron states in the field of two equally charged impurities are studied and the conditions for supercritical instability to occur are determined. It is shown that the supercriticality of novel type is realized in gapped graphene with two unlikely charged impurities. For sufficiently large charges of impurities, it is found that the wave function of the occupied electron bound state of the highest energy changes its localization from the negatively charged impurity to the positively charged one as the distance between the impurities increases. The specifics of the atomic collapse in bilayer graphene is considered and it is shown that the atomic collapse in this material is not related to the phenomenon of the fall-to-center.
|
| first_indexed | 2025-12-02T14:24:09Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-176115 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-02T14:24:09Z |
| publishDate | 2018 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Gorbar, E.V. Gusynin, V.P. Sobol, O.O. 2021-02-03T17:44:33Z 2021-02-03T17:44:33Z 2018 Electron states in the field of charged impurities in two-dimensional Dirac systems / E.V. Gorbar, V.P. Gusynin, O.O. Sobol // Физика низких температур. — 2018. — Т. 44, № 5. — С. 491-524. — Бібліогр.: 142 назв. — англ. 0132-6414 PACS: 71.70.Di, 73.22.Pr, 81.05.ue https://nasplib.isofts.kiev.ua/handle/123456789/176115 We review the theoretical and experimental results connected with the electron states in two-dimensional Dirac systems paying a special attention to the atomic collapse in graphene. Two-electron bound states of a Coulomb impurity are considered too. A rather subtle role of a magnetic field in the supercritical charge problem in graphene is discussed. The electron states in the field of two equally charged impurities are studied and the conditions for supercritical instability to occur are determined. It is shown that the supercriticality of novel type is realized in gapped graphene with two unlikely charged impurities. For sufficiently large charges of impurities, it is found that the wave function of the occupied electron bound state of the highest energy changes its localization from the negatively charged impurity to the positively charged one as the distance between the impurities increases. The specifics of the atomic collapse in bilayer graphene is considered and it is shown that the atomic collapse in this material is not related to the phenomenon of the fall-to-center. The work of E.V.G. and V.P.G. is partially supported
 by the National Academy of Sciences of Ukraine (project
 0116U003191) and by its Program of Fundamental Research of the Department of Physics and Astronomy (project No. 0117U000240). V.P.G. acknowledges the support
 of the RISE Project CoExAN GA644076. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Обзор Electron states in the field of charged impurities in two-dimensional Dirac systems Article published earlier |
| spellingShingle | Electron states in the field of charged impurities in two-dimensional Dirac systems Gorbar, E.V. Gusynin, V.P. Sobol, O.O. Обзор |
| title | Electron states in the field of charged impurities in two-dimensional Dirac systems |
| title_full | Electron states in the field of charged impurities in two-dimensional Dirac systems |
| title_fullStr | Electron states in the field of charged impurities in two-dimensional Dirac systems |
| title_full_unstemmed | Electron states in the field of charged impurities in two-dimensional Dirac systems |
| title_short | Electron states in the field of charged impurities in two-dimensional Dirac systems |
| title_sort | electron states in the field of charged impurities in two-dimensional dirac systems |
| topic | Обзор |
| topic_facet | Обзор |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/176115 |
| work_keys_str_mv | AT gorbarev electronstatesinthefieldofchargedimpuritiesintwodimensionaldiracsystems AT gusyninvp electronstatesinthefieldofchargedimpuritiesintwodimensionaldiracsystems AT soboloo electronstatesinthefieldofchargedimpuritiesintwodimensionaldiracsystems |