Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state
Diagrammatic analysis for normal state of Hubbard model proposed in our previous paper is generalized and used to investigate superconducting state of this model. We use the notion of charge quantum number to describe the irreducible Green's function of the superconducting state. As in the pr...
Збережено в:
| Дата: | 2012 |
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| Автори: | , , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2012
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| Назва видання: | Физика низких температур |
| Теми: | |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/117894 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state / V.A. Moskalenko, L.A. Dohotaru, D.F. Digor, I.D. Cebotari // Физика низких температур. — 2012. — Т. 38, № 10. — С. 1167–1174. — Бібліогр.: 21 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| Резюме: | Diagrammatic analysis for normal state of Hubbard model proposed in our previous paper is generalized and
used to investigate superconducting state of this model. We use the notion of charge quantum number to describe
the irreducible Green's function of the superconducting state. As in the previous paper we introduce the notion of
tunneling Green's function and of its mass operator. This last quantity turns out to be equal to correlation function
of the system. We proved the existence of exact relation between renormalized one-particle propagator and
thermodynamic potential which includes integration over auxiliary interaction constant. The notion of skeleton
diagrams of propagator and vacuum kinds were introduced. These diagrams are constructed from irreducible
Green's functions and tunneling lines. Identity of this functional to the thermodynamic potential has been proved
and the stationarity with respect to variation of the mass operator has been demonstrated. |
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