Bosonic integer quantum Hall states in topological bands with Chern number two.

We study the interacting bosons in topological Hofstadter bands with Chern number two. Using exact diagonalization, we demonstrate that the bosonic integer quantum Hall (BIQH) state emerges at integer boson filling factor ν=1 of the lowest Chern band with evidence including a robust spectrum gap and quantized topological Hall conductance two. Moreover, the robustness of BIQH state against different interactions and next-nearest-neighbor hopping is investigated. The strong nearest-neighbor interaction would favor a charge density wave. When the on-site interaction decreases, the BIQH state undergoes a continuous transition into a superfluid state. Without next-nearest-neighbor hopping, the ground state is possibly in a metallic Fermi-liquid-like phase. [ABSTRACT FROM AUTHOR]