The structure of self-bound one-dimensional droplets containing a mixture of ytterbium fermionic isotopes $({}^{173}\mathrm{Yb},$ ${}^{171}\mathrm{Yb})$ is calculated by means of a diffusion Monte Carlo technique. We considered only balanced setups in which all the atoms of one isotope are spin polarized, while the atoms of the other can have up to three different spin values. Our results indicate that these droplets consist of consecutive “molecules” made up of one ${}^{173}\mathrm{Yb}$ and one ${}^{171}\mathrm{Yb}$ atom. The fermionic nature of those Yb atoms makes pairs with identical spin composition avoid each other, producing an effective antiferromagnetic coupling between different kinds of composite bosons. This antiferromagnetism is different than the one induced by an external optical lattice potential within the framework of the Hubbard model reported in previous literature, and different from the standard ferromagnetic behavior typical of bosonic arrangements.

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• Cold atoms & matter waves
• Fermi gases