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Strong coupling Hartree-Fock approximation in the dynamical mean-field theory
In the limit of infinite spatial dimensions, a thermodynamically consistent theory, which is valid for arbitrary value of the Coulombic interaction ( U < ∞ ), is built for the Hubbard model when the total auxiliary single-site problem exactly splits into four subspaces with different “vacuum s...
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Інститут фізики конденсованих систем НАН України
2001
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| Series: | Condensed Matter Physics |
| Online Access: | http://dspace.nbuv.gov.ua/handle/123456789/119753 |
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irk-123456789-1197532017-06-09T03:03:02Z Strong coupling Hartree-Fock approximation in the dynamical mean-field theory Shvaika, A.M. In the limit of infinite spatial dimensions, a thermodynamically consistent theory, which is valid for arbitrary value of the Coulombic interaction ( U < ∞ ), is built for the Hubbard model when the total auxiliary single-site problem exactly splits into four subspaces with different “vacuum states”. Some analytical results are given for the Hartree-Fock approximation when the 4- pole structure for Green’s function is obtained: two poles describe contribution from the Fermi liquid component, which is ferromagnetic and dominant for small electron and hole concentrations (“overdoped case” of high- Tc ’s), whereas other two describe contribution from the non-Fermi liquid, which is antiferromagnetic and dominant close to half filling (“underdoped case”). Для моделі Хаббарда побудовано термодинамічно самоузгоджену теорію, яка застосовна для довільних значень кулонівської кореляції ( U < ∞ ) в границі безмежної розмірності простору, коли повна допоміжна задача точно розпадається на чотири підпростори з різними “вакуумними станами”. Наведено ряд аналітичних результатів для наближення Хартрі-Фока, коли отримується чотириполюсна структура для функцій Гріна: два полюси описують внески Фермі-рідинної компоненти, яка є феромагнітною і домінує при малих концентраціях електронів або дірок (“перелегований випадок” ВТНП), а інші два – внески від не-Фермі рідини, яка є антиферомагнітною і домінує поблизу половинного заповнення (“недолегований випадок”). 2001 Article Strong coupling Hartree-Fock approximation in the dynamical mean-field theory / A.M. Shvaika // Condensed Matter Physics. — 2001. — Т. 4, № 1(25). — С. 85-92. — Бібліогр.: 16 назв. — англ. 1607-324X PACS: 71.10.Fd, 71.15.Mb, 05.30.Fk, 71.27.+a DOI:10.5488/CMP.4.1.85 http://dspace.nbuv.gov.ua/handle/123456789/119753 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 |
In the limit of infinite spatial dimensions, a thermodynamically consistent
theory, which is valid for arbitrary value of the Coulombic interaction ( U <
∞ ), is built for the Hubbard model when the total auxiliary single-site problem
exactly splits into four subspaces with different “vacuum states”. Some
analytical results are given for the Hartree-Fock approximation when the 4-
pole structure for Green’s function is obtained: two poles describe contribution
from the Fermi liquid component, which is ferromagnetic and dominant
for small electron and hole concentrations (“overdoped case” of high- Tc ’s),
whereas other two describe contribution from the non-Fermi liquid, which
is antiferromagnetic and dominant close to half filling (“underdoped case”). |
| format |
Article |
| author |
Shvaika, A.M. |
| spellingShingle |
Shvaika, A.M. Strong coupling Hartree-Fock approximation in the dynamical mean-field theory Condensed Matter Physics |
| author_facet |
Shvaika, A.M. |
| author_sort |
Shvaika, A.M. |
| title |
Strong coupling Hartree-Fock approximation in the dynamical mean-field theory |
| title_short |
Strong coupling Hartree-Fock approximation in the dynamical mean-field theory |
| title_full |
Strong coupling Hartree-Fock approximation in the dynamical mean-field theory |
| title_fullStr |
Strong coupling Hartree-Fock approximation in the dynamical mean-field theory |
| title_full_unstemmed |
Strong coupling Hartree-Fock approximation in the dynamical mean-field theory |
| title_sort |
strong coupling hartree-fock approximation in the dynamical mean-field theory |
| publisher |
Інститут фізики конденсованих систем НАН України |
| publishDate |
2001 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/119753 |
| citation_txt |
Strong coupling Hartree-Fock approximation in the dynamical mean-field theory / A.M. Shvaika // Condensed Matter Physics. — 2001. — Т. 4, № 1(25). — С. 85-92. — Бібліогр.: 16 назв. — англ. |
| series |
Condensed Matter Physics |
| work_keys_str_mv |
AT shvaikaam strongcouplinghartreefockapproximationinthedynamicalmeanfieldtheory |
| first_indexed |
2023-10-18T20:35:20Z |
| last_indexed |
2023-10-18T20:35:20Z |
| _version_ |
1796150594020311040 |