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...
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| Published in: | Физика низких температур |
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| Date: | 2012 |
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| Language: | English |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2012
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/117894 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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Moskalenko, V.A. Dohotaru, L.A. Digor, D.F. Cebotari, I.D. 2017-05-27T11:10:45Z 2017-05-27T11:10:45Z 2012 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. 0132-6414 PACS: 71.27.+a, 71.10.Fd https://nasplib.isofts.kiev.ua/handle/123456789/117894 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. Two of us (V.A.M and L.A.D) would like to thank Professor N.M. Plakida and Dr. S. Cojocaru for a very helpful discussion. en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Физика низких температур Свеpхпpоводимость, в том числе высокотемпеpатуpная Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state Article published earlier |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine |
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| title |
Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state |
| spellingShingle |
Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state Moskalenko, V.A. Dohotaru, L.A. Digor, D.F. Cebotari, I.D. Свеpхпpоводимость, в том числе высокотемпеpатуpная |
| title_short |
Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state |
| title_full |
Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state |
| title_fullStr |
Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state |
| title_full_unstemmed |
Stationary property of the thermodynamic potential of the Hubbard model in strong coupling diagrammatic approach for superconducting state |
| title_sort |
stationary property of the thermodynamic potential of the hubbard model in strong coupling diagrammatic approach for superconducting state |
| author |
Moskalenko, V.A. Dohotaru, L.A. Digor, D.F. Cebotari, I.D. |
| author_facet |
Moskalenko, V.A. Dohotaru, L.A. Digor, D.F. Cebotari, I.D. |
| topic |
Свеpхпpоводимость, в том числе высокотемпеpатуpная |
| topic_facet |
Свеpхпpоводимость, в том числе высокотемпеpатуpная |
| publishDate |
2012 |
| language |
English |
| container_title |
Физика низких температур |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| format |
Article |
| description |
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.
|
| issn |
0132-6414 |
| url |
https://nasplib.isofts.kiev.ua/handle/123456789/117894 |
| citation_txt |
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. |
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2025-12-02T06:15:58Z |
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2025-12-02T06:15:58Z |
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