Subaşi, A.L.Sevinçli, S.Vignolo P.Tanatar, Bilal2016-02-082016-02-08200910502947http://hdl.handle.net/11693/22713Using 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.EnglishBoson fermionsBoson-fermion mixturesCoupling constantsDe-mixingDensity profileDimensional crossoverEquilibrium propertiesLogarithmic dependenceS-wave scattering lengthsTwo-dimensional scatteringZero temperaturesBosonsElectromagnetic wave scatteringFermionsMean field theoryShear wavesTwo dimensionalMixturesArticle10.1103/PhysRevA.79.063632