Superfluid-insulator transitions of bosons on the kagome lattice at noninteger fillings
Superfluid-insulator transitions of bosons on the kagome lattice at noninteger fillings
We study the superfluid-insulator transitions of bosons on the kagome lattice at incommensurate filling factors $f=\frac{1}{2}$ and $\frac{2}{3}$ using a duality analysis. We find that at $f=\frac{1}{2}$ the bosons will always be in a superfluid phase and demonstrate that the ${T}_{3}$ symmetry of the dual (dice) lattice, which results in …