Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature
The theory of renormalized energy spectrum of localized quasi-particle interacting with polarization phonons at finite temperature is developed within the Feynman-Pines diagram technique. The created computer program effectively takes into account multi-phonon processes, exactly defining all diagr...
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| Дата: | 2017 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2017
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/157114 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature / M.V. Tkach, O.Yu. Pytiuk, O.M. Voitsekhivska, Ju.O. Seti // Condensed Matter Physics. — 2017. — Т. 20, № 4. — С. 43706: 1–16. — Бібліогр.: 23 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1571142019-06-20T01:28:30Z Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature Tkach, M.V. Pytiuk, O.Yu. Voitsekhivska, O.M. Seti, Ju.O. The theory of renormalized energy spectrum of localized quasi-particle interacting with polarization phonons at finite temperature is developed within the Feynman-Pines diagram technique. The created computer program effectively takes into account multi-phonon processes, exactly defining all diagrams of mass operator together with their analytical expressions in arbitrary order over the coupling constant. Now it is possible to separate the pole and non-pole mass operator terms and perform a partial summing of their main terms. The renormalized spectrum of the system is obtained within the solution of dispersion equation in the vicinity of the main state where the high- and low-energy complexes of bound states are observed. The properties of the spectrum are analyzed depending on the coupling constant and the temperature. На основi дiаграмної технiки Феймана-Пайнса запропонована теорiя перенормування енергетичного спектру локалiзованої квазiчастинки, яка взаємодiє з поляризацiйними фононами при скiнченнiй температурi. Розроблена комп’ютерна програма, яка ефективно враховує багатофононнi процеси, точно визначаючи усi дiаграми масового оператора i їх аналiтичнi вирази у довiльному порядку за константою зв’язку. Це дозволило розмежувати неполюснi й полюснi доданки масового оператора та виконати парцiальне пiдсумовування їх головних складових. Розв’язанням дисперсiйного рiвняння отримано перенормований спектр системи в околi основного стану, де спостерiгаються високо- та низькоенергетичнi комплекси зв’язаних станiв. Проаналiзовано властивостi спектру в залежностi вiд константи зв’язку й температури. 2017 Article Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature / M.V. Tkach, O.Yu. Pytiuk, O.M. Voitsekhivska, Ju.O. Seti // Condensed Matter Physics. — 2017. — Т. 20, № 4. — С. 43706: 1–16. — Бібліогр.: 23 назв. — англ. 1607-324X PACS: 71.38.-k, 63.20.kd, 63.20.dk, 72.10.Di DOI:10.5488/CMP.20.43706 arXiv:1712.05367 http://dspace.nbuv.gov.ua/handle/123456789/157114 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 |
The theory of renormalized energy spectrum of localized quasi-particle interacting with polarization phonons at
finite temperature is developed within the Feynman-Pines diagram technique. The created computer program
effectively takes into account multi-phonon processes, exactly defining all diagrams of mass operator together
with their analytical expressions in arbitrary order over the coupling constant. Now it is possible to separate the
pole and non-pole mass operator terms and perform a partial summing of their main terms. The renormalized
spectrum of the system is obtained within the solution of dispersion equation in the vicinity of the main state
where the high- and low-energy complexes of bound states are observed. The properties of the spectrum are
analyzed depending on the coupling constant and the temperature. |
| format |
Article |
| author |
Tkach, M.V. Pytiuk, O.Yu. Voitsekhivska, O.M. Seti, Ju.O. |
| spellingShingle |
Tkach, M.V. Pytiuk, O.Yu. Voitsekhivska, O.M. Seti, Ju.O. Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature Condensed Matter Physics |
| author_facet |
Tkach, M.V. Pytiuk, O.Yu. Voitsekhivska, O.M. Seti, Ju.O. |
| author_sort |
Tkach, M.V. |
| title |
Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature |
| title_short |
Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature |
| title_full |
Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature |
| title_fullStr |
Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature |
| title_full_unstemmed |
Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature |
| title_sort |
energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2017 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/157114 |
| citation_txt |
Energy spectrum of localized quasiparticles renormalized by multi-phonon processes at finite temperature / M.V. Tkach, O.Yu. Pytiuk, O.M. Voitsekhivska, Ju.O. Seti // Condensed Matter Physics. — 2017. — Т. 20, № 4. — С. 43706: 1–16. — Бібліогр.: 23 назв. — англ. |
| series |
Condensed Matter Physics |
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2023-05-20T17:51:18Z |
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