Phase diagrams of the Bose-Fermi-Hubbard model: Hubbard operator approach
The phase transitions in the Bose-Fermi-Hubbard model are investigated. The boson Green's function is calculated in the random phase approximation (RPA) and the formalism of the Hubbard operators is used. The regions of existence of the superfluid and Mott insulator phases are established and t...
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Format: | Article |
Language: | English |
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Institute for Condensed Matter Physics
2010-01-01
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Series: | Condensed Matter Physics |
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Online Access: | http://dx.doi.org/10.5488/CMP.13.13003 |
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author | I.V. Stasyuk T.S. Mysakovych V.O. Krasnov |
author_facet | I.V. Stasyuk T.S. Mysakovych V.O. Krasnov |
author_sort | I.V. Stasyuk |
collection | DOAJ |
description | The phase transitions in the Bose-Fermi-Hubbard model are investigated. The boson Green's function is calculated in the random phase approximation (RPA) 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 boson chemical potential vs. hopping parameter) phase diagrams are built at different values of boson-fermion interaction constant (in the regimes of fixed chemical potential or fixed concentration of fermions). The effect of temperature change on this transition is analyzed and the phase diagrams in the (T,μ) plane are 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 | 2024-12-11T03:45:54Z |
format | Article |
id | doaj.art-ea0ff8818d1249a8848e58eedd368e6a |
institution | Directory Open Access Journal |
issn | 1607-324X |
language | English |
last_indexed | 2024-12-11T03:45:54Z |
publishDate | 2010-01-01 |
publisher | Institute for Condensed Matter Physics |
record_format | Article |
series | Condensed Matter Physics |
spelling | doaj.art-ea0ff8818d1249a8848e58eedd368e6a2022-12-22T01:22:02ZengInstitute for Condensed Matter PhysicsCondensed Matter Physics1607-324X2010-01-0113113003Phase diagrams of the Bose-Fermi-Hubbard model: Hubbard operator approachI.V. StasyukT.S. MysakovychV.O. KrasnovThe phase transitions in the Bose-Fermi-Hubbard model are investigated. The boson Green's function is calculated in the random phase approximation (RPA) 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 boson chemical potential vs. hopping parameter) phase diagrams are built at different values of boson-fermion interaction constant (in the regimes of fixed chemical potential or fixed concentration of fermions). The effect of temperature change on this transition is analyzed and the phase diagrams in the (T,μ) plane are 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.13.13003Bose-Fermi-Hubbard modelphase transitionsthermal activation |
spellingShingle | I.V. Stasyuk T.S. Mysakovych V.O. Krasnov Phase diagrams of the Bose-Fermi-Hubbard model: Hubbard operator approach Condensed Matter Physics Bose-Fermi-Hubbard model phase transitions thermal activation |
title | Phase diagrams of the Bose-Fermi-Hubbard model: Hubbard operator approach |
title_full | Phase diagrams of the Bose-Fermi-Hubbard model: Hubbard operator approach |
title_fullStr | Phase diagrams of the Bose-Fermi-Hubbard model: Hubbard operator approach |
title_full_unstemmed | Phase diagrams of the Bose-Fermi-Hubbard model: Hubbard operator approach |
title_short | Phase diagrams of the Bose-Fermi-Hubbard model: Hubbard operator approach |
title_sort | phase diagrams of the bose fermi hubbard model hubbard operator approach |
topic | Bose-Fermi-Hubbard model phase transitions thermal activation |
url | http://dx.doi.org/10.5488/CMP.13.13003 |
work_keys_str_mv | AT ivstasyuk phasediagramsofthebosefermihubbardmodelhubbardoperatorapproach AT tsmysakovych phasediagramsofthebosefermihubbardmodelhubbardoperatorapproach AT vokrasnov phasediagramsofthebosefermihubbardmodelhubbardoperatorapproach |