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Phase diagrams of the Bose-Hubbard model at finite temperature

The phase transitions in the Bose-Hubbard model are investigated. A single-particle Green's function is calculated in the random phase approximation and the formalism of the Hubbard operators is used. The regions of existence of the superfluid and Mott insulator phases are established and the...

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Main Authors: Stasyuk, I.V., Mysakovych, T.S.
Format: Article
Language:English
Published: Інститут фізики конденсованих систем НАН України 2009
Series:Condensed Matter Physics
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/120322
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spelling irk-123456789-1203222017-06-12T03:04:56Z Phase diagrams of the Bose-Hubbard model at finite temperature Stasyuk, I.V. Mysakovych, T.S. The phase transitions in the Bose-Hubbard model are investigated. A single-particle Green's function is calculated in the random phase approximation and the formalism of the Hubbard operators is used. The regions of existence of the superfluid and Mott insulator phases are established and the (μ, t) (the chemical potential transfer parameter) phase diagrams are built. The effect of temperature change on this transition is analyzed and the phase diagram in the (T, μ) plane is constructed. The role of thermal activation of the ion hopping is investigated by taking into account the temperature dependence of the transfer parameter. The reconstruction of the Mott-insulator lobes due to this effect is analyzed. Дослiджено фазовi переходи в моделi Бозе-Хаббарда. Одночастинкова функцiя Грiна розрахована в наближеннi хаотичних фаз iз використанням формалiзму операторiв Хаббарда. Встановлено областi iснування надплинної фази та фази моттiвського дiелектрика i побудовано фазовi дiаграми в площинi (; t). Проаналiзовано вплив змiни температури на фазовi переходи та побудовано фазовi дiаграми в площинi (T; ). Дослiджено випадок термiчної активацiї перескоку частинок та проаналiзовано перебудову фазових дiаграм у цьому випадку. 2009 Article Phase diagrams of the Bose-Hubbard model at finite temperature / I.V. Stasyuk, T.S. Mysakovych // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 539-546. — Бібліогр.: 15 назв. — англ. 1607-324X PACS: 03.75.Lm, 05.30.Jp DOI:10.5488/CMP.12.4.539 http://dspace.nbuv.gov.ua/handle/123456789/120322 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 The phase transitions in the Bose-Hubbard model are investigated. A single-particle Green's function is calculated in the random phase approximation and the formalism of the Hubbard operators is used. The regions of existence of the superfluid and Mott insulator phases are established and the (μ, t) (the chemical potential transfer parameter) phase diagrams are built. The effect of temperature change on this transition is analyzed and the phase diagram in the (T, μ) plane is constructed. The role of thermal activation of the ion hopping is investigated by taking into account the temperature dependence of the transfer parameter. The reconstruction of the Mott-insulator lobes due to this effect is analyzed.
format Article
author Stasyuk, I.V.
Mysakovych, T.S.
spellingShingle Stasyuk, I.V.
Mysakovych, T.S.
Phase diagrams of the Bose-Hubbard model at finite temperature
Condensed Matter Physics
author_facet Stasyuk, I.V.
Mysakovych, T.S.
author_sort Stasyuk, I.V.
title Phase diagrams of the Bose-Hubbard model at finite temperature
title_short Phase diagrams of the Bose-Hubbard model at finite temperature
title_full Phase diagrams of the Bose-Hubbard model at finite temperature
title_fullStr Phase diagrams of the Bose-Hubbard model at finite temperature
title_full_unstemmed Phase diagrams of the Bose-Hubbard model at finite temperature
title_sort phase diagrams of the bose-hubbard model at finite temperature
publisher Інститут фізики конденсованих систем НАН України
publishDate 2009
url http://dspace.nbuv.gov.ua/handle/123456789/120322
citation_txt Phase diagrams of the Bose-Hubbard model at finite temperature / I.V. Stasyuk, T.S. Mysakovych // Condensed Matter Physics. — 2009. — Т. 12, № 4. — С. 539-546. — Бібліогр.: 15 назв. — англ.
series Condensed Matter Physics
work_keys_str_mv AT stasyukiv phasediagramsofthebosehubbardmodelatfinitetemperature
AT mysakovychts phasediagramsofthebosehubbardmodelatfinitetemperature
first_indexed 2023-10-18T20:36:46Z
last_indexed 2023-10-18T20:36:46Z
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