Bosons on the Kagome lattice with artificial gauge fields

We investigate bosons on the Kagome lattice subject to artificial gauge fields such that no net flux is applied on a unit cell [1]. This allows for example the existence of quantized and non-quantized anomalous Hall effects on the Kagome lattice [2]. If two layers or two-component bosons are introduced, the topological phase is robust to inter-species interactions of moderate strength. We study the conditions under which the total density degree of freedom undergoes a Mott transition, while the pseudo-spin, or charge difference between layers, is in a superfluid phase with topological properties. Similar results can be obtained for two-component bosons on the honeycomb lattice. Such systems could work as a template for the realization of interacting topological phases in cold atom or cavity QED systems. \\[4pt] [1] Jens Koch, Andrew A. Houck, Karyn Le Hur, and S. M. Girvin, Phys. Rev. A 82, 043811 (2010).\\[0pt] [2] Alexandru Petrescu, Andrew A. Houck and Karyn Le Hur, Phys. Rev. A 86, 053804 (2012).