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Two-particle pairing and phase separation in a two-dimensional Bose gas with one or two sorts of bosons

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Kagan,  M. Y.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Efremov,  D. V.
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Kagan, M. Y., & Efremov, D. V. (2002). Two-particle pairing and phase separation in a two-dimensional Bose gas with one or two sorts of bosons. Physical Review B, 65(19): 195103. Retrieved from http://ojps.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PRBMDO000065000019195103000001&idtype=cvips&gifs=yes.


Cite as: http://hdl.handle.net/11858/00-001M-0000-002B-378C-8
Abstract
We present a phase diagram for a dilute two-dimensional Bose gas on a lattice. For one sort of boson we consider a realistic case of the van der Waals interaction between particles with a strong hard-core repulsion U and a van der Waals attractive tail V. For V<2t, t being a hopping amplitude, the phase diagram of the system contains regions of usual one-particle Bose-Einstein condensation (BEC). However for V>2t we have total phase separation on a Mott-Hubbard Bose solid and a dilute Bose gas. For two sorts of structureless bosons described by the two-band Hubbard model, an s-wave pairing of the two bosons of different sort <b(1)b(2)>not equal0 is possible. The results we obtained should be important for different Bose systems, including submonolayers of He-4, excitons in semiconductors, Schwinger bosons in magnetic systems and holons in HTSC. In the HTSC case a possibility of two-holon pairing in the slave-boson theories of superconductivity can restore a required charge 2e of a Cooper pair.