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 (...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Institute for Condensed Matter Physics
2009-01-01
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| Series: | Condensed Matter Physics |
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| Online Access: | http://dx.doi.org/10.5488/CMP.12.4.539 |
| _version_ | 1811299095100260352 |
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| author | I.V. Stasyuk T.S. Mysakovych |
| author_facet | I.V. Stasyuk T.S. Mysakovych |
| author_sort | I.V. Stasyuk |
| collection | DOAJ |
| 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. |
| first_indexed | 2024-04-13T06:30:06Z |
| format | Article |
| id | doaj.art-5dee86344e394c9b899b00bed5d988b0 |
| institution | Directory Open Access Journal |
| issn | 1607-324X |
| language | English |
| last_indexed | 2024-04-13T06:30:06Z |
| publishDate | 2009-01-01 |
| publisher | Institute for Condensed Matter Physics |
| record_format | Article |
| series | Condensed Matter Physics |
| spelling | doaj.art-5dee86344e394c9b899b00bed5d988b02022-12-22T02:58:11ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2009-01-01124539546Phase diagrams of the Bose-Hubbard model at finite temperatureI.V. StasyukT.S. MysakovychThe 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.http://dx.doi.org/10.5488/CMP.12.4.539Bose-Hubbard modelphase transition |
| spellingShingle | I.V. Stasyuk T.S. Mysakovych Phase diagrams of the Bose-Hubbard model at finite temperature Condensed Matter Physics Bose-Hubbard model phase transition |
| title | 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_short | Phase diagrams of the Bose-Hubbard model at finite temperature |
| title_sort | phase diagrams of the bose hubbard model at finite temperature |
| topic | Bose-Hubbard model phase transition |
| url | http://dx.doi.org/10.5488/CMP.12.4.539 |
| work_keys_str_mv | AT ivstasyuk phasediagramsofthebosehubbardmodelatfinitetemperature AT tsmysakovych phasediagramsofthebosehubbardmodelatfinitetemperature |