The self-consistent field model for Fermi systems with account of three-body interactions
On the basis of a microscopic model of self-consistent field, the thermodynamics of the many-particle Fermi system at finite temperatures with account of three-body interactions is built and the quasiparticle equations of motion are obtained. It is shown that the delta-like three-body interaction gi...
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| Дата: | 2015 |
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| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2015
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/155261 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | The self-consistent field model for Fermi systems with account of three-body interactions / Yu.M. Poluektov, A.A. Soroka, S.N. Shulga // Condensed Matter Physics. — 2015. — Т. 18, № 4. — С. 43005: 1–21. — Бібліогр.: 41 назв. — англ. |
Репозитарії
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irk-123456789-1552612019-06-17T01:28:22Z The self-consistent field model for Fermi systems with account of three-body interactions Poluektov, Yu.M. Soroka, A.A. Shulga, S.N. On the basis of a microscopic model of self-consistent field, the thermodynamics of the many-particle Fermi system at finite temperatures with account of three-body interactions is built and the quasiparticle equations of motion are obtained. It is shown that the delta-like three-body interaction gives no contribution into the self-consistent field, and the description of three-body forces requires their nonlocality to be taken into account. The spatially uniform system is considered in detail, and on the basis of the developed microscopic approach general formulas are derived for the fermion's effective mass and the system's equation of state with account of contribution from three-body forces. The effective mass and pressure are numerically calculated for the potential of ``semi-transparent sphere'' type at zero temperature. Expansions of the effective mass and pressure in powers of density are obtained. It is shown that, with account of only pair forces, the interaction of repulsive character reduces the quasiparticle effective mass relative to the mass of a free particle, and the attractive interaction raises the effective mass. The question of thermodynamic stability of the Fermi system is considered and the three-body repulsive interaction is shown to extend the region of stability of the system with the interparticle pair attraction. The quasiparticle energy spectrum is calculated with account of three-body forces. На основi мiкроскопiчної моделi самоузгодженого поля побудовано термодинамiку системи багатьох фермi-частинок при скiнчених температурах з врахуванням тричастинкових взаємодiй i отримано рiвняння руху квазiчастинок. Показано, що дельтаподiбна тричастинкова взаємодiя не дає внеску в самоузгоджене поле, i для опису тричастинкових сил слiд враховувати їх нелокальнiсть. Детально розглянуто просторовооднорiдну систему i в рамках розвиненого мiкроскопiчного пiдходу отримано загальнi формули для ефективної маси фермiону i рiвняння стану системи з врахуванням внеску тричастинкових взаємодiй. Для потенцiалу типу “напiвпрозорої сфери” при нулi температур чисельно розраховано ефективну масу i тиск. Знайдено розвинення ефективної маси i тиску за ступенями щiльностi. Показано, що при врахуваннi тiльки парних сил, взаємодiя, що має характер вiдштовхування, зменшує ефективну масу квазiчастинки порiвняно з масою вiльної частинки, а у разi притягання — збiльшує. Розглянуто питання термодинамiчної стiйкостi фермi-системи i показано, що тричастинкова взаємодiя, яка має характер вiдштовхування, розширює область стiйкостi системи з мiжчастинковим парним притяганням. Розраховано енергетичний спектр квазiчастинки з врахуванням тричастинкових сил. 2015 Article The self-consistent field model for Fermi systems with account of three-body interactions / Yu.M. Poluektov, A.A. Soroka, S.N. Shulga // Condensed Matter Physics. — 2015. — Т. 18, № 4. — С. 43005: 1–21. — Бібліогр.: 41 назв. — англ. 1607-324X PACS: 05.30.Ch, 05.30.Fk, 05.70.-a DOI:10.5488/CMP.18.43005 arXiv:1503.02428 http://dspace.nbuv.gov.ua/handle/123456789/155261 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 |
On the basis of a microscopic model of self-consistent field, the thermodynamics of the many-particle Fermi system at finite temperatures with account of three-body interactions is built and the quasiparticle equations of motion are obtained. It is shown that the delta-like three-body interaction gives no contribution into the self-consistent field, and the description of three-body forces requires their nonlocality to be taken into account. The spatially uniform system is considered in detail, and on the basis of the developed microscopic approach general formulas are derived for the fermion's effective mass and the system's equation of state with account of contribution from three-body forces. The effective mass and pressure are numerically calculated for the potential of ``semi-transparent sphere'' type at zero temperature. Expansions of the effective mass and pressure in powers of density are obtained. It is shown that, with account of only pair forces, the interaction of repulsive character reduces the quasiparticle effective mass relative to the mass of a free particle, and the attractive interaction raises the effective mass. The question of thermodynamic stability of the Fermi system is considered and the three-body repulsive interaction is shown to extend the region of stability of the system with the interparticle pair attraction. The quasiparticle energy spectrum is calculated with account of three-body forces. |
| format |
Article |
| author |
Poluektov, Yu.M. Soroka, A.A. Shulga, S.N. |
| spellingShingle |
Poluektov, Yu.M. Soroka, A.A. Shulga, S.N. The self-consistent field model for Fermi systems with account of three-body interactions Condensed Matter Physics |
| author_facet |
Poluektov, Yu.M. Soroka, A.A. Shulga, S.N. |
| author_sort |
Poluektov, Yu.M. |
| title |
The self-consistent field model for Fermi systems with account of three-body interactions |
| title_short |
The self-consistent field model for Fermi systems with account of three-body interactions |
| title_full |
The self-consistent field model for Fermi systems with account of three-body interactions |
| title_fullStr |
The self-consistent field model for Fermi systems with account of three-body interactions |
| title_full_unstemmed |
The self-consistent field model for Fermi systems with account of three-body interactions |
| title_sort |
self-consistent field model for fermi systems with account of three-body interactions |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/155261 |
| citation_txt |
The self-consistent field model for Fermi systems with account of three-body interactions / Yu.M. Poluektov, A.A. Soroka, S.N. Shulga // Condensed Matter Physics. — 2015. — Т. 18, № 4. — С. 43005: 1–21. — Бібліогр.: 41 назв. — англ. |
| series |
Condensed Matter Physics |
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