Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture

Details Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture Mixing-demixing transition and collapse of a vortex state in a quasi-two-dimensional boson-fermion mixture

2007-04-18

arxiv.org/abs/0704.2373v1

Phys. Rev. A 75 (2007) 053603 (p1-9)

Physics

Condensed Matter

Other Condensed Matter

9 pages, 11 figures

Scientific paper

10.1103/PhysRevA.75.053603

We investigate the mixing-demixing transition and the collapse in a quasi-two-dimensional degenerate boson-fermion mixture (DBFM) with a bosonic vortex. We solve numerically a quantum-hydrodynamic model based on a new density functional which accurately takes into account the dimensional crossover. It is demonstrated that with the increase of interspecies repulsion, a mixed state of DBFM could turn into a demixed state. The system collapses for interspecies attraction above a critical value which depends on the vortex quantum number. For interspecies attraction just below this critical limit there is almost complete mixing of boson and fermion components. Such mixed and demixed states of a DBFM could be experimentally realized by varying an external magnetic field near a boson-fermion Feshbach resonance, which will result in a continuous variation of interspecies interaction.

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