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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Main Authors: I.V. Stasyuk, T.S. Mysakovych, V.O. Krasnov
Format: Article
Language:English
Published: Institute for Condensed Matter Physics 2010-01-01
Series:Condensed Matter Physics
Subjects:
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.
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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