Title: Bose-Fermi-Hubbard model in the truncated Hilbert space limit
Author(s):

	V.O. Krasnov (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine) ,
	I.V. Stasyuk (Institute for Condensed Matter Physics of the National Academy of Sciences of Ukraine, 1 Svientsitskii St., 79011 Lviv, Ukraine)

It is shown that in the Bose-Fermi-Hubbard model which is used for a description of the ultracold atomic boson-fermion mixture in the optical lattice, the n_B ≤ 2 restriction enables one to analyze a more general case of separated lobes Mott insulator in comparison with the case of n_B ≤ 1 (hard-core bosons). It also showed that the restriction to no more than 2 bosons on site is enough to comprehend the structure of (μ, |t₀|) diagrams at arbitrary n^b values with an account of a possibility of the 1st order phase transition.

Key words: Bose-Fermi-Hubbard model, Bose-Einstein condensate, optical lattices, phase transitions
PACS: 71.10 Fd, 71.38

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