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We study Bose-Hubbard models on tight-binding, non-Bravais lattices, with afilling of one boson per unit cell -- and thus fractional site filling. Atinteger filling of a unit cell neither symmetry breaking nor topological orderis required, and in principle a trivial and featureless (i.e.,symmetry-unbroken) insulator is allowed. We demonstrate by explicitconstruction of a family of wavefunctions that such a featureless Mottinsulating state exists at 1/3 filling on the kagome lattice, and constructHamiltonians for which these wavefunctions are exact ground states. We brieflycomment on the experimental relevance of our results to cold atoms in opticallattices. Such wavefunctions also yield 1/3 magnetization plateau states forspin models in an applied field. The featureless Mott states we discuss can begeneralized to any lattice for which symmetric exponentially localized Wannierorbitals can be found at the requisite filling, and their wavefunction is givenby the permanent over all Wannier orbitals.

Wannier Permanent Wave Functions and Featureless Bosonic Mott Insulators on the 1/3 filled Kagome Lattice