Two-dimensional boson-fermion mixtures
Date
2009
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Source Title
Physical Review A - Atomic, Molecular, and Optical Physics
Print ISSN
10502947
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Volume
79
Issue
6
Pages
Language
English
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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 toward spatial demixing. © 2009 The American Physical Society.
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Keywords
Boson fermions , Boson-fermion mixtures , Coupling constants , De-mixing , Density profile , Dimensional crossover , Equilibrium properties , Logarithmic dependence , S-wave scattering lengths , Two-dimensional scattering , Zero temperatures , Bosons , Electromagnetic wave scattering , Fermions , Mean field theory , Shear waves , Two dimensional , Mixtures