Journal
PHYSICAL REVIEW B
Volume 88, Issue 10, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevB.88.104509
Keywords
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Funding
- CNRS-UC Davis EPOCAL LIA joint research grant
- NSF [OISE-0952300]
- ARO Award [W911NF0710576]
- DARPA OLE Program
- Office Of The Director
- Office Of Internatl Science &Engineering [952300] Funding Source: National Science Foundation
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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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