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journal id: "physicalxreviewxletters"
Authors  S.A. Parameswaran, I. Kimchi, A.M. Turner, D.M. StamperKurn, A. Vishwanath  Title  Wave Permanent Functions for Featureless Bosonic Mott Insulators on the 1/3Filled Kagome Lattice 
Journal  Physical Review Letters 
Volume  110 
Year  2013 
Pages  125301 
ISSN  00319007 
Faculty  Faculty of Science 
Institute/dept.  FNWI: Institute for Theoretical Physics (ITF) 
Abstract  We study BoseHubbard models on tightbinding, nonBravais lattices, with a filling of one boson per unit cellâ€”and thus fractional site filling. We discuss situations where no classical bosonic insulator, which is a product state of particles on independent sites, is admitted. Nevertheless, we show that it is possible to construct a quantum Mott insulator of bosons if a trivial band insulator of fermions is possible at the same filling. The ground state wave function is simply a permanent of exponentially localized Wannier orbitals. Such a Wannier permanent wave function is featureless in that it respects all lattice symmetries and is the unique ground state of a parent Hamiltonian that we construct. Motivated by the recent experimental demonstration of a kagome optical lattice of bosons, we study this lattice at 1/3 site filling. Previous approaches to this problem have invariably produced either brokensymmetry states or topological order. Surprisingly, we demonstrate that a featureless insulator is a possible alternative and is the exact ground state of a local Hamiltonian. We briefly comment on the experimental relevance of our results to ultracold atoms as well as to 1/3 magnetization plateaus for kagome spin models in an applied field. 
Document type  Article 
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