arXiv:1205.6641 · International Journal of Modern Physics B
MOTT INSULATOR-SUPERFLUID TRANSITION IN A GENERALIZED BOSE–HUBBARD MODEL WITH TOPOLOGICALLY NONTRIVIAL FLAT-BAND
XING-HAI ZHANG, SU-PENG KOU
Abstract
In this paper, we studied a generalized Bose–Hubbard model on a checkerboard lattice with topologically nontrivial flat-band. We used mean-field method to decouple the model Hamiltonian and obtained phase diagram by Landau theory of second-order phase transition. We further calculate the energy gap and the dispersion of quasi-particle or quasi-hole in Mott insulator phase and found that in strong interaction limit the quasi-particles or the quasi-holes also have flat-bands.