Non-perturbative construction of the Luttinger-Ward functional
For a system of correlated electrons, the Luttinger-Ward functional provides a link between static thermodynamic quantities on the one hand and single-particle excitations on the other. The functional is useful in deriving several general properties of the system as well as in formulating the ther...
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| Дата: | 2006 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут фізики конденсованих систем НАН України
2006
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| Назва видання: | Condensed Matter Physics |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/121360 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Non-perturbative construction of the Luttinger-Ward functional / M. Potthoff // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 557–567. — Бібліогр.: 31 назв. — англ. |
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irk-123456789-1213602017-06-15T03:02:55Z Non-perturbative construction of the Luttinger-Ward functional Potthoff, M. For a system of correlated electrons, the Luttinger-Ward functional provides a link between static thermodynamic quantities on the one hand and single-particle excitations on the other. The functional is useful in deriving several general properties of the system as well as in formulating the thermodynamically consistent approximations. Its original construction, however, is perturbative as it is based on the weak-coupling skeleton-diagram expansion. Here, it is shown that the Luttinger-Ward functional can be derived within a general functional-integral approach. This alternative and non-perturbative approach stresses the fact that the Luttinger-Ward functional is universal for a large class of models. Для системи скорельованих електронiв функцiонал Люттiнгера-Варда забезпечує зв’язок мiж статичними термодинамiчними величинами, з одного боку, та одночастинковими збудженнями, з iншого боку. Цей функцiонал є придатним для отримання деяких загальних властивостей системи, а також для формулювання термодинамiчно узгоджених наближень. Однак його побудова є пертурбативною, оскiльки вона базується на дiаграмному розкладi при слабкому зв’язку. Показано, що функцiонал Люттiнгера-Варда можна отримати в рамках загального функцiонально-iнтегрального пiдходу. Цей альтернативний непертурбативний пiдхiд пiдкреслює той факт, що функцiонал Лютiнгера-Варда є унiверсальним для широкого класу моделей. 2006 Article Non-perturbative construction of the Luttinger-Ward functional / M. Potthoff // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 557–567. — Бібліогр.: 31 назв. — англ. 1607-324X PACS: 71.10.-w, 71.15.-m DOI:10.5488/CMP.9.3.557 http://dspace.nbuv.gov.ua/handle/123456789/121360 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 |
For a system of correlated electrons, the Luttinger-Ward functional provides a link between static thermodynamic
quantities on the one hand and single-particle excitations on the other. The functional is useful in
deriving several general properties of the system as well as in formulating the thermodynamically consistent
approximations. Its original construction, however, is perturbative as it is based on the weak-coupling
skeleton-diagram expansion. Here, it is shown that the Luttinger-Ward functional can be derived within a general
functional-integral approach. This alternative and non-perturbative approach stresses the fact that the
Luttinger-Ward functional is universal for a large class of models. |
| format |
Article |
| author |
Potthoff, M. |
| spellingShingle |
Potthoff, M. Non-perturbative construction of the Luttinger-Ward functional Condensed Matter Physics |
| author_facet |
Potthoff, M. |
| author_sort |
Potthoff, M. |
| title |
Non-perturbative construction of the Luttinger-Ward functional |
| title_short |
Non-perturbative construction of the Luttinger-Ward functional |
| title_full |
Non-perturbative construction of the Luttinger-Ward functional |
| title_fullStr |
Non-perturbative construction of the Luttinger-Ward functional |
| title_full_unstemmed |
Non-perturbative construction of the Luttinger-Ward functional |
| title_sort |
non-perturbative construction of the luttinger-ward functional |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2006 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/121360 |
| citation_txt |
Non-perturbative construction of the Luttinger-Ward functional / M. Potthoff // Condensed Matter Physics. — 2006. — Т. 9, № 3(47). — С. 557–567. — Бібліогр.: 31 назв. — англ. |
| series |
Condensed Matter Physics |
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AT potthoffm nonperturbativeconstructionoftheluttingerwardfunctional |
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2023-10-18T20:39:16Z |
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2023-10-18T20:39:16Z |
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1796150764446416896 |