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arXiv · 1306.5515

Interacting spin-1 bosons in a two-dimensional optical lattice

L. de Forges de Parny·F. Hébert·V. G. Rousseau·G. G. Batrouni
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Abstract

We study, using quantum Monte Carlo (QMC) simulations, the ground state properties of spin-1 bosons trapped in a square optical lattice. The phase diagram is characterized by the mobility of the particles (Mott insulating or superfluid phase) and by their magnetic properties. For ferromagnetic on-site interactions, the whole phase diagram is ferromagnetic and the Mott insulators-superfluid phase transitions are second order. For antiferromagnetic on-site interactions, spin nematic order is found in the odd Mott lobes and in the superfluid phase. Furthermore, the superfluid-insulator phase transition is first or second order depending on whether the density in the Mott is even or odd. Inside the even Mott lobes, we observe a singlet-to-nematic transition for certain values of the interactions. This transition appears to be first order.

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L. de Forges de Parny, F. Hébert, V. G. Rousseau, G. G. Batrouni. 2013-08-28. Interacting spin-1 bosons in a two-dimensional optical lattice. https://doi.org/10.1103/physrevb.88.104509

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