Spin-one bosons in low dimensional Mott insulating states

Abstract

We analyze the strong coupling limit of spin-one bosons in low dimensional Mott insulating states. In 1D lattices, for an odd number of bosons per site ($N_0$), the ground state is a dimerized valence bond crystal state with a two-fold degeneracy; the low lying elementary spin excitations carry spin one. For an even number of bosons per site, the ground state is a nondegenerate spin singlet Mott state. We also argue that in a square lattice in a quantum disordered limit the ground states should be dimerized valence bond crystals for an odd integer $N_0$. Finally, we briefly report results for non-integer numbers of bosons per site in one-dimensional lattices.

5 pages; discussions on non-integer case have been shortened

References in corpus (3)

• Quantum phase transition from a superfluid to a Mott insulator in a gas of ultracold atoms
• Lattice Models with N=2 Supersymmetry
• Quantum Hall states and boson triplet condensate for rotating spin-1 bosons

Cited by in corpus (15)

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• Spin Singlet Mott States and Evidence For Spin Singlet Quantum Condensates of Spin-One Bosons in Lattices
• Ultracold atomic Bose and Fermi spinor gases in optical lattices
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• Magnetically Stabilized Nematic Order I: Three-Dimensional Bipartite Optical Lattices
• Strong-coupling expansion for the spin-1 Bose-Hubbard model
• Mott lobes of the $S=1$ Bose-Hubbard model with three-body interactions
• Hyperfine Spin-Two (F=2) Atoms in Three-Dimensional Optical Lattices: Phase Diagrams and Phase Transitions
• Magnetically Stabilized Order. II: Critical states and algebraically ordered nematic spin liquids in one-dimensional optical lattices
• Berry's Phases of Ground States of Interacting Spin-One Bosons: Chains of Monopoles and Monosegments
• Spin-1 Bose Hubbard model with nearest neighbour extended interaction
• Quantum phases of a spin-1 ultracold Bose gas with three body interactions