Phase Separations in the Narrow-Bandwidth Limit of the Penson-Kolb-Hubbard Model at Zero Temperature
K.J. Kapciaa,b and W.R. Czartc
aInstitute of Physics, Polish Academy of Sciences, Aleja Lotników 32/46, 02-668 Warsaw, Poland
bInstitute of Nuclear Physics, Polish Academy of Sciences, W.E. Radzikowskiego 152, 31-342 Kraków, Poland
cFaculty of Physics, Adam Mickiewicz University, ul. Umultowska 85, 61-614 Poznań, Poland
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In this work we study the ground state of the Penson-Kolb-Hubard model in the limit of narrow-bandwidth. We present phase diagrams of the model for fixed chemical potential and concentration (involving various phase separations). The results are derived within the Hartree-Fock approximation (HFA) in the narrow-bandwidth regime and compared with the exact ones in the atomic limit and the high-dimension regime. Our investigation reveals that the HFA can reconstruct the exact diagram at the ground state when the bandwidth approaches to zero.

DOI: 10.12693/APhysPolA.133.401
PACS numbers: 71.10.Fd, 71.10.Hf, 74.20.-z, 74.25.Dw, 64.75.Gh