Continuous unitary transformation approach to pairing interactions in statistical physics
We apply the flow equation method to the study of the fermion systems with pairing interactions which lead to the BCS instability signalled by the appearance of the off-diagonal order parameter. For this purpose we rederive the continuous Bogoliubov transformation in a fashion of renormalization g...
Збережено в:
| Дата: | 2008 |
|---|---|
| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2008
|
| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/119045 |
| 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: | Continuous unitary transformation approach to pairing interactions in statistical physics / T. Domański // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 195-207. — Бібліогр.: 25 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-119045 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1190452017-06-04T03:02:44Z Continuous unitary transformation approach to pairing interactions in statistical physics Domański, T. We apply the flow equation method to the study of the fermion systems with pairing interactions which lead to the BCS instability signalled by the appearance of the off-diagonal order parameter. For this purpose we rederive the continuous Bogoliubov transformation in a fashion of renormalization group procedure where the low and high energy sectors are treated subsequently. We further generalize this procedure to the case of fermions interacting with the discrete boson mode. Andreev-type interactions are responsible for developing a gap in the excitation spectrum. However, the long-range coherence is destroyed due to strong quantum fluctuations. Ми застосовуємо метод потокового рiвняння до дослiдження фермiонних систем з взаємодiями парування, що ведуть до БКШ-нестiйкостi, яка виявляється у появi недiагонального параметра порядку. З цiєю метою ми переформульовуємо неперервне перетворення Боголюбова в ренормгрупових термiнах, де низько- i високоенергетичнi сектори розглядаються послiдовно. Ми узагальнюємо цю процедуру на випадок, коли фермiони взаємодiють з дискретною бозонною модою. Взаємодiї типу Андреєва спричинюють появу щiлини у спектрi збуджень, однак далекосяжна кореляцiя руйнується завдяки сильним квантовим флуктуацiям. 2008 Article Continuous unitary transformation approach to pairing interactions in statistical physics / T. Domański // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 195-207. — Бібліогр.: 25 назв. — англ. 1607-324X PACS: 05.10.Cc, 74.20.Fg, 71.10.Li DOI:10.5488/CMP.11.2.195 http://dspace.nbuv.gov.ua/handle/123456789/119045 en Condensed Matter Physics Інститут фізики конденсованих систем НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
We apply the flow equation method to the study of the fermion systems with pairing interactions which lead
to the BCS instability signalled by the appearance of the off-diagonal order parameter. For this purpose we
rederive the continuous Bogoliubov transformation in a fashion of renormalization group procedure where the
low and high energy sectors are treated subsequently. We further generalize this procedure to the case of
fermions interacting with the discrete boson mode. Andreev-type interactions are responsible for developing
a gap in the excitation spectrum. However, the long-range coherence is destroyed due to strong quantum
fluctuations. |
| format |
Article |
| author |
Domański, T. |
| spellingShingle |
Domański, T. Continuous unitary transformation approach to pairing interactions in statistical physics Condensed Matter Physics |
| author_facet |
Domański, T. |
| author_sort |
Domański, T. |
| title |
Continuous unitary transformation approach to pairing interactions in statistical physics |
| title_short |
Continuous unitary transformation approach to pairing interactions in statistical physics |
| title_full |
Continuous unitary transformation approach to pairing interactions in statistical physics |
| title_fullStr |
Continuous unitary transformation approach to pairing interactions in statistical physics |
| title_full_unstemmed |
Continuous unitary transformation approach to pairing interactions in statistical physics |
| title_sort |
continuous unitary transformation approach to pairing interactions in statistical physics |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2008 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119045 |
| citation_txt |
Continuous unitary transformation approach to pairing interactions in statistical physics / T. Domański // Condensed Matter Physics. — 2008. — Т. 11, № 2(54). — С. 195-207. — Бібліогр.: 25 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT domanskit continuousunitarytransformationapproachtopairinginteractionsinstatisticalphysics |
| first_indexed |
2023-10-18T20:33:40Z |
| last_indexed |
2023-10-18T20:33:40Z |
| _version_ |
1796150518867820544 |