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arXiv · 1607.02302

Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions

A. F. Hincapie-F·R. Franco·J. Silva-Valencia
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Abstract

Using the density matrix renormalization group method, we studied the ground state of the one-dimensional $S=1$ Bose-Hubbard model with local three-body interactions, which can be a superfluid or a Mott insulator state. We drew the phase diagram of this model for both ferromagnetic and antiferromagnetic interaction. Regardless of the sign of the spin-dependent coupling, we obtained that the Mott lobes area decreases as the spin-dependent strength increases, which means that the even-odd asymmetry of the two-body antiferromagnetic chain is absent for local three-body interactions. For antiferromagnetic coupling, we found that the density drives first-order superfluid-Mott insulator transitions for even and odd lobes. Ferromagnetic Mott insulator and superfluid states were obtained with a ferromagnetic coupling, and a tendency to a "long-range" order was observed.

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BibTeXRIS

A. F. Hincapie-F, R. Franco, J. Silva-Valencia. 2016-07-08. Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions. https://doi.org/10.1103/physreva.94.033623

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