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Boson-fermion pairing in Bose-Fermi mixtures on one-dimensional optical lattices

Boson-fermion pairing in Bose-Fermi mixtures on one-dimensional optical lattices

Boson-fermion pairing is considered in a discrete environment of bosons and fully spin-polarized fermions, coupled via an attractive Bose-Fermi Hubbard Hamiltonian in one dimension. The results of the $T$-matrix approximation for particles of equal mass and at double half-filling are compared with the results of exact diagonalization and with quantum …