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arXiv · 0907.1096

Two-dimensional boson-fermion mixtures

A. L. Subasi·S. Sevincli·P. Vignolo·B. Tanatar
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Abstract

Using mean-field theory, we study the equilibrium properties of boson-fermion mixtures confined in a harmonic pancake-shaped trap at zero temperature. When the modulus of the s-wave scattering lengths are comparable to the mixture thickness, two-dimensional scattering events introduce a logarithmic dependence on density in the coupling constants, greatly modifying the density profiles themselves. We show that for the case of a negative boson-fermion three-dimensional s-wave scattering length, the dimensional crossover stabilizes the mixture against collapse and drives it towards spatial demixing.

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A. L. Subasi, S. Sevincli, P. Vignolo, B. Tanatar. 2009-07-06. Two-dimensional boson-fermion mixtures. https://doi.org/10.1103/physreva.79.063632

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