Browsing by Subject "Boson-fermion mixtures"
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Item Open Access Dimensional crossover in two-dimensional Bose-Fermi mixtures(Institute of Physics Publishing, 2010) Subaşi, A. L.; Sevinçli, S.; Vignolo, P.; Tanatar, BilalWe 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.Item Open Access Two-dimensional boson-fermion mixtures(2009) Subaşi, A.L.; Sevinçli, S.; Vignolo P.; Tanatar, BilalUsing 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.Item Open Access Two-dimensional boson-fermion mixtures in harmonic traps(Elsevier Science B.V., 2003) Tanatar, Bilal; Erdemir, E.The density profiles of bosonic and fermionic components in a system of trapped two-dimensional (2D) boson-fermion (BF) mixture are studied. We employ the variational approach to minimize the total energy functional of the BF mixture subject to the conservation of particle numbers of the species. We consider repulsive interactions between bosons and investigate the repulsive and attractive interactions between bosons and fermions. Our results are qualitatively similar to those in 3D, despite the fact that the structure of equations in 2D are different.Item Open Access Vortices in trapped boson-fermion mixtures(Springer, 2005) Taşgin, M. E.; Subaşi, A. L.; Oktel, M. Ö.; Tanatar, BilalWe consider a trapped system of atomic boson-fermion mixture with a quantized vortex. We investigate the density profiles of bosonic and fermionic components as functions of the boson-boson and boson-fermion short-range interaction strengths within the mean-filed approach. Stability of a vortex and conditions for the phase segregation are studied. We compare and contrast our results with the related system of droplets of 3He-4He mixtures.