Mott Insulators in a Fully-Frustrated Bose Hubbard Model on the Honeycomb Lattice

Details Mott Insulators in a Fully-Frustrated Bose Hubbard Model on the Honeycomb Lattice Mott Insulators in a Fully-Frustrated Bose Hubbard Model on the Honeycomb Lattice

2010-12-20

arxiv.org/abs/1012.4494v1

2011 New J. Phys. 13 053018

Physics

Condensed Matter

Strongly Correlated Electrons

16 pages, 28 figures

Scientific paper

10.1088/1367-2630/13/5/053018

We examine the effects of quantum fluctuations on a classical spin liquid state in the fully-frustrated honeycomb lattice Bose Hubbard model using quantum Monte Carlo simulations. Frustration is induced explicitly in the model by modulating the sign of the interaction spatially around each lattice hexagon. A superfluid to Mott insulating quantum phase transition can be induced by varying the relative strength of the classical interaction and quantum hopping. In the cases where the interaction has a regular spatial modulation, hopping promotes a phase transition to a symmetry-broken valence-bond solid state. When the interaction is forced to have no regular pattern, the Mott insulating phase is found to be featureless and gapped, making it an interesting candidate state for a quantum spin liquid arising in a Hamiltonian with only nearest-neighbor interactions.

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