Dimensional crossover in two-dimensional Bose-Fermi mixtures

Date
2010
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Instructor
Source Title
Laser Physics
Print ISSN
1054-660X
Electronic ISSN
1555-6611
Publisher
Institute of Physics Publishing
Volume
20
Issue
3
Pages
683 - 693
Language
English
Type
Article
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Abstract

We investigate the equilibrium properties of boson-fermion mixtures consisting of a Bose condensate and spin-polarized Fermi gas confined in a harmonic two-dimensional (2D) trap using mean-field theory. Boson-boson and boson-fermion coupling constants have a logarithmic dependence on the density because of the two-dimensional scattering events when the s-wave scattering lengths are on the order of mixture thickness. We show that this modifies the density profiles significantly. It is also shown that the dimensional crossover stabilizes the mixture against collapse and spatial demixing is observed for the case of a negative boson-fermion scattering length.

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Keywords
Bose condensates, Bose-fermi mixtures, Boson fermions, Boson-fermion mixtures, Coupling constants, De-mixing, Density profile, Dimensional crossover, Equilibrium properties, Fermi gas, Logarithmic dependence, S-wave scattering lengths, Scattering length, Spin-polarized, Two-dimensional scattering, Bosons, Electron gas, Gas condensates, High energy physics, Mean field theory, Mixtures, Scattering, Two dimensional, Fermions
Citation
Published Version (Please cite this version)