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

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-si...

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Bibliographic Details
Published in:Physical review. B, Condensed matter and materials physics Condensed matter and materials physics, 2013-09, Vol.88 (10), Article 104509
Main Authors: de Forges de Parny, L., Hébert, F., Rousseau, V. G., Batrouni, G. G.
Format: Article
Language:English
Subjects:
Bosons
Computer simulation
Condensed matter
Density
Ferromagnetism
Fluids
Optical lattices
Phase diagrams
Physics
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Summary: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.
ISSN:1098-0121
1550-235X
DOI:10.1103/PhysRevB.88.104509