Various types of superfluid-insulator transitions are investigated for two-component lattice boson systems in two dimensions with on-site hard-core repulsion and the component-dependent intersite interaction. The mean-field phase diagram is obtained by the Gutzwiller-type variational technique. Various ground-state properties are also studied by the quantum Monte Carlo method. Our model exhibits two types of diagonal long-range orders; the density order around the density n = 1/2 and the Ising-type component order near n = 1. In contrast to the Gutzwilier results, the Monte Carlo results show that the continuous growth of the component correlation severely suppresses the superfluidity as well as the inverse of the effective mass in the critical region of the component order transition. We propose a mechanism of this mass enhancement observed even far from the Mott insulating filling n = 1, when the Ising-type component order persists into n ≠ 1. Possible relevance of this type of mass enhancement in other systems is also discussed.
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