Mixture of scalar bosons and two-color fermions in one dimension: Superfluid-insulator transitions

• URL: http://arxiv.org/abs/2003.09421v3
• Date: Mon, 10 Aug 2020 23:54:39 GMT
• Title: Mixture of scalar bosons and two-color fermions in one dimension: Superfluid-insulator transitions
• Authors: R. Avella, J. J. Mendoza-Arenas, R. Franco, J. Silva-Valencia
• Abstract summary: Superfluid-insulator transitions are studied within the framework of the Bose-Fermi-Hubbard model. New non-trivial insulator phases depend on the sign of the boson-fermion interaction. Findings could be observed experimentally in state-of-the-art cold-atom setups.
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• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: Superfluid-insulator transitions in a one-dimensional mixture of two-color fermions and scalar bosons are studied within the framework of the Bose-Fermi-Hubbard model. Zero-temperature phase diagrams are constructed for repulsive intraspecies interactions and attractive or repulsive interspecies couplings. In addition to the trivial Mott insulator phases, we report the emergence of new non-trivial insulator phases that depend on the sign of the boson-fermion interaction. These non-trivial insulator phases satisfy the conditions $\rho_B\pm\rho_F=n$ and $\rho_B\pm \tfrac{1}{2}\rho_F=n$, with the plus (minus) sign for repulsive (attractive) interactions and $n$ an integer. Far from fermionic half-filling, the boson-fermion interaction drives a gapless-gapped transition in the spin sector. Our findings could be observed experimentally in state-of-the-art cold-atom setups.

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