Approximate analytical dynamical mean-field approach to strongly correlated electron systems
An approximate analytical scheme of the dynamical mean-field theory (DMFT), that is used for electron systems with Hubbard correlations and is exact in the limit of the infinite dimensionality of a space, is developed. The effective single-site problem arising in the framework of this method is f...
Gespeichert in:
| Datum: | 2000 |
|---|---|
| 1. Verfasser: | |
| Format: | Artikel |
| Sprache: | English |
| Veröffentlicht: |
Інститут фізики конденсованих систем НАН України
2000
|
| Schriftenreihe: | Condensed Matter Physics |
| Online Zugang: | http://dspace.nbuv.gov.ua/handle/123456789/121033 |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Approximate analytical dynamical mean-field approach to strongly correlated electron systems / I.V. Stasyuk // Condensed Matter Physics. — 2000. — Т. 3, № 2(22). — С. 437-456. — Бібліогр.: 27 назв. — англ. |
Institution
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-121033 |
|---|---|
| record_format |
dspace |
| fulltext |
|
| spelling |
irk-123456789-1210332017-06-14T03:05:35Z Approximate analytical dynamical mean-field approach to strongly correlated electron systems Stasyuk, I.V. An approximate analytical scheme of the dynamical mean-field theory (DMFT), that is used for electron systems with Hubbard correlations and is exact in the limit of the infinite dimensionality of a space, is developed. The effective single-site problem arising in the framework of this method is formulated in terms of the auxiliary Fermi-field. The irreducible Green's function technique with the projecting on the Hubbard basis of Fermi-operators is used for its solution. A system of DMFT equations is obtained in the approximation which is a generalization of the Hubbard-III approximation and combines it with a self-consistent renormalization of the local electron levels. It is shown that the proposed approach includes as simple specific cases a number of known approximations (Hubbard-III, AA, MAA, . . . ) based on the assumption of the single-site structure of the electron self- energy. У роботі розроблена наближена аналітична схема методу динамічного середнього поля (МДСП), який використовується для електронних систем з хаббардівськими кореляціями і є точним при безмежній розмірності простору. Ефективна одновузлова задача, що виникає в цьому методі, сформульована за допомогою допоміжного ферміполя. Для її розв’язання використано техніку незвідних функцій Гріна при проектуванні на хаббардівський базис фермі-операторів. Отримано систему рівняннь МДСП у наближенні, яке є узагальненням наближення Хаббарда-ІІІ і поєднує його із самоузгодженим перенормуванням локальних електронних рівнів. Показано, що ряд відомих наближень, що базуються на одновузловій структурі власноенергетичної частини електронної функції Гріна, є простими частинними випадками запропонованої схеми. 2000 Article Approximate analytical dynamical mean-field approach to strongly correlated electron systems / I.V. Stasyuk // Condensed Matter Physics. — 2000. — Т. 3, № 2(22). — С. 437-456. — Бібліогр.: 27 назв. — англ. 1607-324X DOI:10.5488/CMP.3.2.437 PACS: 71.10.Fd, 05.30.Fk http://dspace.nbuv.gov.ua/handle/123456789/121033 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 |
An approximate analytical scheme of the dynamical mean-field theory
(DMFT), that is used for electron systems with Hubbard correlations and is
exact in the limit of the infinite dimensionality of a space, is developed. The
effective single-site problem arising in the framework of this method is formulated in terms of the auxiliary Fermi-field. The irreducible Green's function technique with the projecting on the Hubbard basis of Fermi-operators
is used for its solution. A system of DMFT equations is obtained in the
approximation which is a generalization of the Hubbard-III approximation
and combines it with a self-consistent renormalization of the local electron
levels. It is shown that the proposed approach includes as simple specific cases a number of known approximations (Hubbard-III, AA, MAA, . . . )
based on the assumption of the single-site structure of the electron self-
energy. |
| format |
Article |
| author |
Stasyuk, I.V. |
| spellingShingle |
Stasyuk, I.V. Approximate analytical dynamical mean-field approach to strongly correlated electron systems Condensed Matter Physics |
| author_facet |
Stasyuk, I.V. |
| author_sort |
Stasyuk, I.V. |
| title |
Approximate analytical dynamical mean-field approach to strongly correlated electron systems |
| title_short |
Approximate analytical dynamical mean-field approach to strongly correlated electron systems |
| title_full |
Approximate analytical dynamical mean-field approach to strongly correlated electron systems |
| title_fullStr |
Approximate analytical dynamical mean-field approach to strongly correlated electron systems |
| title_full_unstemmed |
Approximate analytical dynamical mean-field approach to strongly correlated electron systems |
| title_sort |
approximate analytical dynamical mean-field approach to strongly correlated electron systems |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2000 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/121033 |
| citation_txt |
Approximate analytical dynamical mean-field approach to strongly correlated electron systems / I.V. Stasyuk // Condensed Matter Physics. — 2000. — Т. 3, № 2(22). — С. 437-456. — Бібліогр.: 27 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT stasyukiv approximateanalyticaldynamicalmeanfieldapproachtostronglycorrelatedelectronsystems |
| first_indexed |
2025-07-08T19:04:18Z |
| last_indexed |
2025-07-08T19:04:18Z |
| _version_ |
1837106682140819456 |