Pumping of energy into a mesoscopic ring: Exactly solvable model
We consider the energy stored in a one-dimensional ballistic ring with a barrier subjected to a linearly time-dependent magnetic flux. An exact analytical solution for the quantum dynamics of electrons in the ring is found for the case when the electromotive force multiplied by the electron charge,...
Збережено в:
| Опубліковано в: : | Физика низких температур |
|---|---|
| Дата: | 1998 |
| Автори: | , , , , |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
1998
|
| Теми: | |
| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/176691 |
| 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: | Pumping of energy into a mesoscopic ring: Exactly solvable model / L. Gorelik, S. Kulinich,R. I. Shekhter, M. Jonson, Yu. Galperin // Физика низких температур. — 1998. — Т. 24, № 12. — С. 1181-1191. — Бібліогр.: 19 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862695787098537984 |
|---|---|
| author | Gorelik, L. Kulinich, S. Shekhter, R.I. Jonson, M. Galperin, Yu. |
| author_facet | Gorelik, L. Kulinich, S. Shekhter, R.I. Jonson, M. Galperin, Yu. |
| citation_txt | Pumping of energy into a mesoscopic ring: Exactly solvable model / L. Gorelik, S. Kulinich,R. I. Shekhter, M. Jonson, Yu. Galperin // Физика низких температур. — 1998. — Т. 24, № 12. — С. 1181-1191. — Бібліогр.: 19 назв. — англ. |
| collection | DSpace DC |
| container_title | Физика низких температур |
| description | We consider the energy stored in a one-dimensional ballistic ring with a barrier subjected to a linearly time-dependent magnetic flux. An exact analytical solution for the quantum dynamics of electrons in the ring is found for the case when the electromotive force multiplied by the electron charge, ee, is much smaller than the interlevel spacing,D. Electron states exponentially localized in energy space are found for irrational values of the dimensionless ratio AºD/2ee. Relaxation limits the dynamic evolution and the localization does not develop if A is sufficiently close to a rational number. As a result the accumulated energy becomes a regular function of A containing a set of sharp peaks at rational values with small enough denominators (fractional pumping). The shape of the peaks and the distances between them are governed by the interplay between the strength of backscattering and the relaxation rate.
|
| first_indexed | 2025-12-07T16:26:01Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-176691 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 0132-6414 |
| language | English |
| last_indexed | 2025-12-07T16:26:01Z |
| publishDate | 1998 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Gorelik, L. Kulinich, S. Shekhter, R.I. Jonson, M. Galperin, Yu. 2021-02-06T19:42:18Z 2021-02-06T19:42:18Z 1998 Pumping of energy into a mesoscopic ring: Exactly solvable model / L. Gorelik, S. Kulinich,R. I. Shekhter, M. Jonson, Yu. Galperin // Физика низких температур. — 1998. — Т. 24, № 12. — С. 1181-1191. — Бібліогр.: 19 назв. — англ. 0132-6414 PACS: 73.40.-c, 73.20.Dx https://nasplib.isofts.kiev.ua/handle/123456789/176691 We consider the energy stored in a one-dimensional ballistic ring with a barrier subjected to a linearly time-dependent magnetic flux. An exact analytical solution for the quantum dynamics of electrons in the ring is found for the case when the electromotive force multiplied by the electron charge, ee, is much smaller than the interlevel spacing,D. Electron states exponentially localized in energy space are found for irrational values of the dimensionless ratio AºD/2ee. Relaxation limits the dynamic evolution and the localization does not develop if A is sufficiently close to a rational number. As a result the accumulated energy becomes a regular function of A containing a set of sharp peaks at rational values with small enough denominators (fractional pumping). The shape of the peaks and the distances between them are governed by the interplay between the strength of backscattering and the relaxation rate. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Низкоразмерные и неупорядоченные системы Pumping of energy into a mesoscopic ring: Exactly solvable model Article published earlier |
| spellingShingle | Pumping of energy into a mesoscopic ring: Exactly solvable model Gorelik, L. Kulinich, S. Shekhter, R.I. Jonson, M. Galperin, Yu. Низкоразмерные и неупорядоченные системы |
| title | Pumping of energy into a mesoscopic ring: Exactly solvable model |
| title_full | Pumping of energy into a mesoscopic ring: Exactly solvable model |
| title_fullStr | Pumping of energy into a mesoscopic ring: Exactly solvable model |
| title_full_unstemmed | Pumping of energy into a mesoscopic ring: Exactly solvable model |
| title_short | Pumping of energy into a mesoscopic ring: Exactly solvable model |
| title_sort | pumping of energy into a mesoscopic ring: exactly solvable model |
| topic | Низкоразмерные и неупорядоченные системы |
| topic_facet | Низкоразмерные и неупорядоченные системы |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/176691 |
| work_keys_str_mv | AT gorelikl pumpingofenergyintoamesoscopicringexactlysolvablemodel AT kulinichs pumpingofenergyintoamesoscopicringexactlysolvablemodel AT shekhterri pumpingofenergyintoamesoscopicringexactlysolvablemodel AT jonsonm pumpingofenergyintoamesoscopicringexactlysolvablemodel AT galperinyu pumpingofenergyintoamesoscopicringexactlysolvablemodel |