Subaşi, A. L.Sevinçli, S.Vignolo, P.Tanatar, Bilal2016-02-082016-02-0820101054-660Xhttp://hdl.handle.net/11693/22404We 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.EnglishBose condensatesBose-fermi mixturesBoson fermionsBoson-fermion mixturesCoupling constantsDe-mixingDensity profileDimensional crossoverEquilibrium propertiesFermi gasLogarithmic dependenceS-wave scattering lengthsScattering lengthSpin-polarizedTwo-dimensional scatteringBosonsElectron gasGas condensatesHigh energy physicsMean field theoryMixturesScatteringTwo dimensionalFermionsArticle10.1134/S1054660X1005018X1555-6611